GRE Prep 8/10/20

In a bag of coins, (2/5) are pennies, (1/3) are nickels, (1/4) are dimes, and there are 5 quarters. If there are no other coins in the bag, what is the total number of coins?

300 (page 232)

What is a common right triangle ratio

30°/60°/90°

How many sides does a quadrilateral have?

4

What is the square root of 16

4

What is the value of x^3 - x^2 - 7(x - 1), if x = 3?

4

Before last nights game, a basketball player had scored an average (arithmetic mean) of 20 points per game. She scored 25 points in last nights game, raising her average to 21 points per game. How many games did she play before last nights game? 3 4 5 6 7

4 (page 370)

if x is an integer, how many values of x are there such that |x| <6 and |x| is > 3

4 (-4,-5,4,5)

If you are given an equation that shows 2 to the power of 4, which is the exponent and which is the base?

4 would be the exponent and 2 would be the base

Calculate the SD of 1, 3, 8, 11, and 12

4.34 (1. Find the mean 1+3+8+11+12 = 35/5 = 7 2. determine the difference between the mean and each value in the group (1-7) =-6; (3-7) = -4; (8-7) = 1; (11-7) = 4; (12-7) = 5 3. Square each of those differences (-6)^2 = 36; (-4)^2 = 16; (1)^2 = 1; (4)^2 = 16; (5)^2 = 25 4. Find the mean of the squared differences 36+16+1+16+25 = 94/5 = 18.8 5. Take the nonnegative square root of the mean of the squared differences. 4.34)

A bag contains only 4 orange marbles and 2 blue marbles. Latisha wants to get a blue marble from the bag, but she cannot see what color marble draws until she takes it out of the bag. Latisha will stop drawing marbles as soon as she gets a blue one. If Latisha does not draw a blue marble in 3 attempts, she stops. What is the probability that she will draw a blue marble

4/5 (page 297)

Solve problem 5 on page 365

40 (page 369)

Restaurant A has 5 appetizers , 20 main courses , and 4 desserts . If a meal consists of 1 appetizer , 1 main course , and 1 dessert , how many different meals can be ordered at restaurant A?

400 (5*20*4 = 400) (page 293)

Solve fro example 100 on page 687

42π

Solve problem 13 on page 335

432 - 36π (page 341)

Solve the example problem on page 332

45

45 is what percent of 9?

45 = percent/100 x 9 -> 45/9 x 100% = 500% (page 666)

Anders typed 9450 words in 3.5 hours. What was his rate in words per minute?

45 words per minute (page 669)

What is the special ratio between lengths of the sides in isosceles right triangles?

45°, 45°, 90°

At the Central Park zoo, the ratio of sea lions to penguins is 4:11. If there are 84 more penguins than see lions how many sea lions are there? 24 36 48 72 121

48 (page 369)

Rosa drove 120 miles one way at an average speed pf 40 MPH and returned by the same 120-mile route at an average speed of 60 MPH. What was Rosa's average speed for the entire 240-mile round trip?

48 MPH (#65 Page 676)

Solve problem 14 on page 336

48√3 (page 341)

Of the 120 students at a certain language school, 65 are studying french, 51 are studying Spanish, and 53 are studying neither language. How many are studying both french and Spanish ?

49 (#69 page 678)

How many 3-digit numbers can be formed with the digits 1, 3, and 5 each used only once?

6 (number 30 page 669)

A bag contains only red and blue plastic chips. There were 10 chips in the bag and 1 blue chip was removed. The probability of drawing a blue chip was then 1/3. How many red chips were in the bag?

6 (page 297)

If (5x/3) + 9 = (x/6) + 18, x = ? 12 8 6 5 4

6 (pg 249)

What is the area of right triangle ABC, where AB = 5 and BC = 4?

6 or 10 We are given 2 sides but we aren't told what sides they are. If AB is the hypotenuse, then it is a 3:4:5 triangle and the area is (1/2)(3)(4) = 6, but it is also possible that AC is the hypotenuse. In that case, the area would be (1/2)(5)(4) = 10.

Translate the word problem into a math problem: If 5 pounds of apples cost 6.75$, what is the price of 1 pound of apples?

6.75$ / 5 = 1.35$

The union of 2 sets is the set of all the elements that are elements of either or both sets and is written how?

A U B

Belle

A beautiful woman

Holocaust

A burnt offering; complete destruction by fire or other means

Inscribed (math definition)

A figure is inscribed within another when points on the edge of the enclosed figure touch the outer figure

Fallacy

A flawed argument

Operation

A function or process performed on one or more numbers

Synagogue

A gathering or congregation of Jews for the purpose of religious worship

Junta

A group of military officers who join together to run a country; a council

Caste

A hereditary social group, limited to people of the same rank

Incursion

A hostile entrance into a place, esp. suddely

Translate the word problem into a math problem: Beatrice has 3 dollars more than twice the number of dollars Allen has.

B = 3+2A

Quantity A: (1/4) + (1/5) + (1/6) + (1/7) Quantity B: 1 / (1/4)+(1/5)+(1/6)+(1/7) A) Quantity A is greater B) Quantity B is greater C) The two quantities are equal D) The relationship cannot be determined from the information given

B) Quantity B is greater (page 344)

Quantity A: x^2 + 2x -2 Quantity B: x^2 + 2x - 1 A) Quantity A is greater B) Quantity B is greater C) The two quantities are equal D) The relationship cannot be determined from the information given

B) Quantity B is greater (page 349)

DORS

Back

RE

Back, again

MAL/MALE

Bad, ill, evil wrong

MIS

Bad, wrong, to hate

VIL

Base, mean

BEL/BELL

Beautiful

Extrasensory

Derived by means other than known senses

Benevolent

Desiring to do good to others

Circuit

A line around an area; a racecourse; the path traveled by electrical current

Diagonal of a polygon

A line segment connecting any two nonadjacent vertices

Edge

A line segment that connects adjacent faces of a solid (ex on page 329)

Radius

A line segment that connects the center of the circle with any point on the circle. It is one-half the length og the diameter

Diameter

A line segment that connects two points on a circle and passes through the center of a circle

Tangent

A line that touches only one point on the circumference of a circle (a line drawn tangent to a circle is perpendicular to the radius at the point of tangency)

Dialect

A manner of speaking; a regional variety of language

Standard deviation

A measure of a group of numbers variation from its mean

Post-mortem

A medical examination of a dead person's body in order to find out the cause of death

Courier

A messenger traveling in haste who bears news

Neoplasm

A new growth in the body; a tumor

Doctrine

A particular advocated, as of a government or religion

Evangelist

A person and especially a preacher who tries to convince people to become Christian

Stoic

A person who can endure pain or hardship without showing their feelings or complaining.

Dignitary

A person who holds a high rank or office

Rover

A person who spends their time wandering.

Altruist

A person's unselfishly concern for the welfare of others

Mortuary

A place in which dead bodies are kept until burial

Vertex of a polygon

A point where two sides intersect (plural: vertices)

Lectern

A reading desk

Certain ratios of integers always satisfy the Pythagorean theorem. What are the most common?

A right triangle with legs of lengths 3 and 4 with a hypotenuse of length 5 (in addition, any multiple of these lengths will work. Ex, 6^2 + 8^2 = 10^2) AND 5, 12, and 13

Trove

A store of valuable or delightful things

What is the shortest distance between two points

A straight line

Debacle

A sudden failure; a fiasco

Jurisprudence

A system of law; knowledge of law

Pedagogue

A teacher

Cessation

A temporary or complete discontinuance

anomaly

Deviation from the common rule

herterodox

Different from acknowledged

(H)ETERO

Different, other

Distinct

Different. (for example the integer 123 has 3 distinct digits while the integer 122 has 2 distinct digits

What is the distance formula (in relation to speed)?

Distance = speed*time

Conjecture

Formation of opinion on incomplete information

reducing fractions

Fraction must be reduced to its lowest terms. This is done by finding the greatest common factor (GCF) for both the numerator and denominator and then dividing both the numerator and denominator by that value.

LIBER

Free

chaste

Free from obscenity; decent

Dolorous

Full of pain or sorrow, grievous

Bountiful

Generous

Liberal

Generous; giving away freely

Aggressive

Given to hostile acts or feelings

Jocose

Given to joking; playful

Cursory

Going rapidly over something; hasty; superficial

BEN/BENE

Good

BON/BOUN

Good, generous

EU

Good, well

Furlough

Grant a leave of absence to

MACRO

Great, Long

In a normal distribution, the closer a value is to the mean of the set, the greater or less likely the probability occurs

Greater

The length of one side of a triangle is 7. The length of another side is 3. What is the range of possible lengths for the third side?

Greater than 4 but less than 10 (number 91 page 685)

VERD

Green

Iniquity

Gross injustice; wickedness

What is the formula for overlapping sets involving both and neither

Group 1 + Group 2 + neither - both = total

Sets

Groups of values that have some common property

HEMI

Half

SEMI

Half

MAN/MANU

Hand

abstruse

Hard to understand; secret, hidden

DUR

Hard, Lasting

NOC/NOX

Harm

Cacophony

Harsh, jarring noise

Benign

Having a kindly disposition

Omniscient

Having infinite knowledge

Dorsal

Having to do with the back

SALU

Health

SAN

Healthy

Acou-

Hearing

CARD/CORD/COUR

Heart

THERM

Heat

CRYPT

Hidden

The more spread out the values are relative to a mean, the standard deviation is, as a result, higher or lower ?

Higher

Illustrious

Highly distinguished

Bar graphs that show relative frequencies or numbers of occurrences are called _______

Histograms

SACR/SANCT

Holy

Malapropism

Humorous misuse of a word

Postulated

Hypothesized. to suggest a theory, idea, etc. as a basic principle from which a further idea is formed or developed

What formula is used to find a SIMPLE INTEREST problem

Interest = Principle * rt r is defined as the interest rate per payment period t is defined as the number of payment periods

Conjunction

Joining; occurring together; a connecting word

JOC

Joke

Pardon

Kind indulgence, forgiveness

REG

King, rule

Quartile: determine L, Q1, Q2, Q3, and G for the following set of numbers: 0,0,0,1,1,3,3,7,11,12,15,15,17,17,20,21

L = 0 Q1 = 1 Q2 = 9 Q3 = 16 G = 21

Quartile: What are the four equal sections of data, in increasing value?

L to Q1, Q1 to Q2 (M), Q2 (M) to Q3, and Q3 to G

If L1 is parallel to L2, how is it written (what is the symbol)?

L1 || L2

If L1 is perpendicular to L2, how is it written (what is the symbol)?

L1 ⊥ L2

What is the least common multiple of 28 and 42?

LCM = 2*2*3*7 = 84 28 = 2*2*7 42 = 2*3*7 You multiply each factor the greatest number of times it appeared in prime factorization: LCM = 2*2*3*7 = 84 (page 667)

Apathy

Lack of interest or emotion

Desultory

Lacking a plan, purpose, or enthusiam

MEGA

Large, great

Lackadaisical

Lazy

Liable

Legally responsible; bound by law

PHOTO

Light

LUC/LUM/LUS

Light (brightness)

LAX/LEAS/LES

Loose

Adorn

Make more beautiful or attractive

ANTHRO/ANDR

Man, human

MULT

Many

POLY

Many

Fiduciary

Of a trust; held or given to trust

Colloquial

Of ordinary or familiar conversation

progeny

Offspring, descendants

SEN

Old

MON/MONO

One

Equinox

One of two times a year when day and night are equal in length

Agnostic

One who believes the existence of God is not provable

Atheist

One who does not believe in God

Nouveau riche

One who has lately become rich

Misanthrope

One who hates people or humanity

Recidivist

One who repeatedly relapses into crime

Mendacious

One who tells lies habitually and intentionally.

ego

Oneself; the part of oneself that is selfaware

DOG/DOX

Opinion

COSM

Order, universe, world

E/EX

Out, out of, from, former, completely

Epidermis

Outer layer of skin

EXTRA

Outside, beyond

What is the formula for a permutation equation

P = n! / (n-k)! n = the number in the larger group k = the number you're arranging

On the GRE, you can interpret "the probability of A or B" to mean " the probability of A or B or both." what would this formula look like?

P(A or B) = P(A) + P(B) - P(A and B)

What is 12 percent of 25?

Part = 12/100 * 25 = 300/100 = 3 (page 666)

PAC/PEAC

Peace

Endemic

Peculiar to a particular people or locality

DEM

People

Percent change equation

Percent Change = (Difference/Original) * 100

Factor the polynomial x^2 - 3x + 2

(x-1) (x-2) (the product of the 2 missing terms will be the last term in the original polynomial:2. The sum of the missing terms will be the coefficient of the 2nd term of the polynomial)

Working together, Kendra, Latasha, and Melanie can complete a task in 4 hours. If kendra did it alone, it would take her 8 hours and Latasha could complete the task in half the time it would take Melanie, how long would it take latasha alone?

12 hours (use the formula: (1/T) = 1/A + 1/B + 1/C on page 236)

Solve problem 2 on page 365

100 (page 369)

What is the measure of one angle of a regular pentagon

108 (number 92 page 685)

Solve the example on number 99 page 687

108π

In a bag of candy, 7 of the candies are cherry flavored, 8 are lemon, and 5 are grape. If I candy is chosen randomly from the bag, what is the probability that the candy is not Lemon

12/20

Paula has 10 books that she'd like to read on vacation, but she only has space for 3 books in her suitcase . How many different groups of 3 books can Paula pack?

120 Use the combination formula: n! / k!(n-k)! = 10! / 3!(10-3)! -> 10*9*8*7! / 3!7! -> reduce: 10*9*8 / 3*2 -> 720/6 = 120

Lee likes both country and pop music. Her playlist has a total of 60 songs that are categorized as pop, country, or rock. If a song is listed as pop and country, it is considered crossover music. If 24 of Lee's songs are classified as rock music only, 30 are pop, and 18 are country, how many crossover?

12 (page 297)

Translate the word problem into a math problem: If the sales tax on a 12$ lunch is 1.20$, what is the total amount on the check

12 + 1.20 = $13.20

The area of a circle is 36. What is the circles diameter?

12 / √π (page 338)

If A, B, C, and D represent distinct digits in the addition problem below, what is the value of D? AB + BA = CDC

121 (#61 Page 675)

The perimeter of a rhombus is 44. What is the maximum area the rhombus could have?

121 (page 340)

What is the sum of the integers from 10 through 50, inclusive?

1230 sum = (average)(number of terms) Average = (10 + 50)/2 = 30 Number of terms: 50 - 10 + 1 = 41 Sum: 30*41 = 1230 (page 668)

Solve example 1 on page 333

13

page 256 problem 10

14

How many liters of a solution that is 10% alcohol by volume must be added to 2 liters of a solution that is 50% alcohol by volume to create a solution that is 15% alcohol by volume?

14 (#68 example 2 page 677)

The ratio of a to b is 7:3. the ratio of b to c is 2:5. what is the ratio of a to c?

14:15 (#67 Page 677)

(2√3)(7√5)

14√15 (number 82 page 682)

5 / (1/3) =

15

The ratio of red to blue to black pens in a box is 3:5:7. If all 75 pens in the box are one of these colors, how many are red?

15

If 25 is 1.5 SDs below the mean of data set A and the SD of the data set is 10, what is the mean of data set A?

15 (The distance from the mean is the number of SDs * the value of 1 SD: 1.5 *10 = 15. Since 25 is below the mean, the value of the mean is 25 + 15 = 40.)

15 is 3/5 percent of what number?

15 = (3/5)(1/100) * whole -> 15 = (3/500) * whole -> whole = 15(500/3) = 7500/3 = 2500 (page 666)

If a website calls for a 3-letter password by no two letters can be the same, what is the total number of possibilities

15,600 (26*25*24 = 15,600)

The length of adult minnows of a certain species closely approximates a normal distribution, with a mean length of 8.5 cm and a SD of 2 cm. What is the approximate probability that a randomly selected adult minnow of this species has a length of at least 10 cm?

15.8% 10.5 cm is 1 SD above the mean. that means that the probability that an adult minnow is longer than at least 10.5 cm includes the probability that a minnow is between 1 and 2 SDs above the mean (13.6%, the probability that a minnow is between 2 and 3 SDs above the mean (2.1%), and the probability that a minnow is longer than 3 Sds above the mean (0.1%). So, 13.6% + 2.1% + 0.1% = 15.8%)

Solve problem 6 on page 365

15x / 2 (page 370)

Darnell leaves his house and walks 25 feet due north, then 42 feet due east, and then stops. Melanie leaves the same house and walks 86 feet due east, and then walks in a straight line to where Darnell is standing. What is the area of the region enclosed by the paths Darnell and Melanie walked?

1600 (page 340)

(1/3) + (3/5) + (1/2) - (13/15) =

17/30

Pablo is allowed to choose 1 of 3 different fruit beverages and 2 of 4 different healthy grain bars for his afternoon snack. How many different combinations does he have from which to choose?

18 The number of options Pablo has for the beverage is simply 3, because he can only select one item of the 3 that are available to him. To calculate the number of options for the grain bars, use the combinations formula, because the order in which Pablo selects the 2 grain bars does not matter. C= 4! / 2!(4-2)! -> 4*3*2*1 / 2*1*2*1 =6. Since Pablo gets to choose a beverage AND twp grain bars, and for each of the three beverages, he can choose from 6 different options of grain bars, multiply the two numbers of choices: 3*6 = 18

Page 283 Problem 14

18.5 parts/billion The trend of the graph is linear and upwards. The best estimate of the slope is the overall trend from 1950 60 2010. In 2010, the concentration was 18.0 and in 1950 it was 12. Thus, over a period of 60 years, the increase was 18 - 12 = 6, which equates to 0.1 per year. The increase projected from 2010 to 2015 is 5* 0.1 = 0.5. Add theat amount to the 2010 value to get 18.0+ 0.5 = 18.5 as the estimated value for 2015. (page 284)

The ratio of boys to girls is 3 to 4. is there are 135 boys, how many girls are there?

180 (3/4) = (135/g) -> 3*g = 4*135 -> 3g = 540 -> g = 180 (page 668)

Parallelogram: the big angle + the small angle = ???

180 degrees

Parallel Lines: Any big angle + any small angle = ?

180-degrees

The degree measures of 3 angles add up to what?

180-degrees

The sum of the interior angles of any triangle is ______-degrees

180°

What are the possible values of x if 9x^2 - 36 = 0?

2, -2 (Remember that a^2 - b^2 = (a + b)(a - b). Since 9x^2 = (3x)^2 and 36 = 6^2, the equation becomes (3x + 6)(3x - 6) = 0. If 3x + 6 = 0, the 3x = -6 and x = -2; if 3x - 6 = 0, then 3x = 6 and x = 2)

What are the first 10 prime numbers?

2,3,4,7,11,13,17,19,23,29

If 2 students are chosen at random to run an errand from a class with 5 girls and 5 boys, what is the probability that both students chosen will be girls

2/9 (#74 example 1 page 680)

100%/5% =

20 (the percent sign "drops out" when you divide 2 percents)

What is the ratio of 20 oranges ro 12 apples

20/12 = 5/3 (page 668)

If the first 500 pages have an average of 150 words per page, and the remaining 100 pages have an average of 450 words per page, what is the average number of words per page for the entire 600 pages?

200 (#65 Page 676)

Solve problem 5 on page 334

200 (page 338)

How many groups can be formed consisting of 2 people from room A and 3 people from room B if there are 5 people in room A and 6 people in room B? B

200 Use the combination formula for each room and then multiply the results. For room A, the number of combinations of 2 in a set of 5 is as follows: n! / k!(n-k)! -> 5! / 2!3! -> 5*4*3*2*1 / 2*1*3*2*1 -> 5*4 / 2*1 -> 20/2 -> 10 For room B, the number of combinations of 3 in a set of 6 is as follows: n! / k!(n-k)! -> 6! / 3!3! -> 6*5*4*3*2*1 / 3*2*1*3*2*1 -> reduce to get: 5*4 = 20. Multiply 10*20 = 200 possible groups consisting of 2 people form room A and 3 People from room B

Solve the example on page 380

2014 and 2018

Page 282 Problem 10

2016 The correct answer is the year in which the dark shaded bar is the tallest relative to the light shaded bar. This would also be the year in which the dark shaded portion is tallest relative to the total height of the bar

The average of five numbers is 2. After one number is deleted, the new average is -3. what number was deleted?

22 (#64 Page 676)

Translate the word problem into a math problem: How many groups of 30 students can be formed from a total of 240 students?

240/30 = 8 groups of 30 students

What is the reciprocal of 1/25

25

The mean for set A is 40 and the standard deviation is 10. What is the value of 1.5 standard deviations below the mean?

25 (the distance from the mean is the number of SDs times the value of one SD: 1.5 * 10 = 15. 40 - 15 = 25)

Find the area of a circle that has a radius of 5

25π Area = πr^2 = π(5)^2 = 25π

The girls' average score is 30. the boys' average score is 24. If there are twice as many boys as girls, what is the overall average?

26 (#62 Page 675)

How many 2-digit multiples of 6 are multiples of 15?

3

When n is divided by 14, the remainder is 10. What is the remainder when n is divided by seven? 2 3 4 5 6

3

When n is divided by 7, the remainder is 5. what is the remainder when 2n is divided by 7?

3

Evan trains for running on a circular path with a radius of 5 / 6π km. If Evan starts at one point and runs continuously in one direction for a total of 5 km, how many times does Evan complete a full lap around the entire circle? 2 3 4 5 6

3 (page 371)

Allen, Betty, and Claire must wash the dishes. They decide to work in shifts of 2 people. How many shifts will it take before all possible combinations have been used>

3 (AB,AC, and BC)

If @@(x) = x+3 / x-1 and ##(y) = y^2 - 2y + 3, what is the value of @@(##(2))?

3 (substitute 2 for y and then substitute that answer for x)

If |x| = 3, then what could x be

3 and -3

What are the prime factors of 12

3 and 2

Which number(s)represent the hundreds place: 315.246?

3 and 4

Jenn and Boris are GAs helping a professor grade tests. Working together, they complete the task in 1 hour and 12 mins. If jenn did it by herself, she could have done it in 2 hours. How ling would it have taken Boris, himself?

3 hours (use T = (AB)/(A+B) as a formula)

Abdul recently made a 200 mile trip. for the first 30 miles, he traveled at an average speed of 45 miles per hour. his average speed for the next 50 miles was 60 miles per hour. Abdul averages 50 mph for the final portion of his trip. how long did it take him to complete his journey?

3 hours and 54 mins

What factors greater than 1 do 135 and 225 have in common

3, 5, 9, 15, and 45 (page 667)

Solve number 75 page 681

3.8 (Page 681)

If Quantity A is 2/3 and Quantity B is 3/4... A) Quantity A is greater B) Quantity B is greater C) The two quantities are equal D) The relationship cannot be determined from the information given

3/4 (Because these quantities have numbers, D is inocrrect. I used the bowtie method to get 8 (2/3) and 9 (3/4). As 9 is bigger than 8, 3/4 is bigger than 2/3.)

If 3x -5y = 10 and 6y - 2x = 20, what is the value of x+y?

30

Which of the following numbers has more than two distinct prime factors? Indicate all such members 20 30 100 200 210

30 & 210 (page 369)

In a recent election for two different positions elected by the same voters., candidates A and B were chosen by a majority of the voters. Two- thirds of the 60 % of voters who chose candidate A also voted for Candidate B. The percentage of voters who did not vote for either candidate must have been less than ______%?

30% (Page 298)

What is the formula for the total surface area of a cylinder

total surface area of a cylinder = Areas of circular ends + lateral surface area = 2πr^2 + 2πrh

A line that intersects two parallel lines is called a ________

transversal

Itinerant

traveling

Transit

traveling; means of transport

facetious

treating serious issues with deliberately inappropriate humor; flippant.

Onerous

troublesome and oppressive; burdensome

VER

truth

Veracity

truthfulness, accuracy

Simultaneous Equations

two algebraic equations that include the same variables

Ordered Pair

two numbers or quantities separated by a comma and enclosed in parentheses (ex, (-2,5))

Bicentennial

two-hundredth anniversary

Implacable

unable to be calmed down or made peaceful

Impartial

unbiased; neutral

Intransigent

uncompromising; refusing to be reconciled

Division of zero is ________

undefined (it can't be done)

esoteric

understood only by those specially initiated

Subaqueous

underwater

Exhume

unearth

Stolid

unemotional; lacking sensitivity

Trifling

unimportant or trivial

The _____ of 2 sets is the set of all the elements that are elements of either or both sets

union

Derivative

unoriginal; taken from something already existing

indubitable

unquestionable

Phantom

unreal image, ghost

Parsimonious

unwilling to spend money or use resources; stingy or frugal.

injudicious

unwise; poor judgement

EPI

upon

Exigent

urgent; requiring immediate action

Euphemism

use of an inoffensive word or phrase in place of a more distasteful one

Laconic

using few words

Fortissimo

very loud

Microbe

very small organism

Starchy

very stiff, formal, or prim in manner or character.

What is the formula for the volume of a cube?

volume of a cube = lwh = edge * edge*edge = e^3

What is the formula for the volume of a cylinder

volume of a cylinder = (area of base)(height) = πr^2h

Tottering

walking unsteadily or shakily. lacking security or stability; threatening to collapse (A tottering empire)

UND

wave

IT/ITER

way, journey

Felicitous

well chosen or suited to the circumstances

Condign

well deserved; fitting; adequate

benevolent

well meaning and kind.

Eloquent

well spoken

When is an integer divisible by 10

when its units digit is 0

HOL

whole

Perfidious

willing to betray one's trust

SOPH

wisdom

Prudence

wisdom, caution, or restraint

assiduously

with care and persistence

Cum laude

with honors

Lest

with the intention of preventing something undesirable; to avoid the risk of

Effervescent

with the quality of giving off bubbles of gas

Amorphous

without definite form; shapeless

VERB

word

Cosmopolitan

wordly

Verbose

wordy

Affidavit

written statement made under oath

Math Translation: of

x

Simplify the expression 2x - 5y - x + 7y

x + 2y

If 5x - 2y = -9 and 3y - 4x = 6, what is the value of x + y.

x + y = -3 (Number 85 page 683)

Solve for x: 3 - (x/4) > 2

x < 4

Rewrite 7 - 3x > 2 in its simplest form

x < 5/3

if x squared = 16, then what is x

x = +/- 4

solve for x: 28 = -3x - 5

x = -11

Solve for x: X^2 + 6 = 5x

x = 2 or 3

x^2 = 9. Solve for x.

x = 3 or -3

If 4x - 7 = 2x + 5, what is the value of x

x = 6

If x -15 = 2y and 6y + 2x = -10, what is the value of y?

y = -4

What are the 2 slope equations

y = mx+b rise/run = y/x

The ratio of x to y is 1:4. If the value of x were increased by 1 without changing the value of y, the ratio of x to y would become 1:3. if z = x + 2y, what is the value of z?

z = 27

If -1 < x <1, but x is not 0, which has the greater value |x^4| or |x^5|?

|x^4|

Euphony

Pleasantness of sound

GRAT

Pleasing

TOX

Poison

Bombastic

Pompous in speech and manner

Extol

Praise enthusiastically.

Approbation

Praise or approval

LAUD

Praise, honor

Predilection

Preference, liking

Elbow out of

Pressure someone to depart something

What is a relative frequency distribution also called

Probability distribution

CELER

Speed

Celerity

Speed; quickness

Nascent

Starting develop

TORP

Stiff, numb

LITH

Stone

Intermittent

Stopping or ceasing for a time

Zeal

Strong interest; enthusiastic. Great energy or enthusiasm in pursuit of a cause or an objective.

Presentable

Suitable for being presented

What is the formula for the surface area of a rectangular solid

Surface area = 2(lw) + 2(wh) + 2(lh)

preeminent

Surpassing all others;...superior

DULC

Sweet

SUA

Sweet, pleasing, to urge

Dulcet

Sweet; peasing

Infatuated

Swept up in a fit of passion, impairing one's reason

∅

Symbol for an empty set

Normal distribution (Commonly referred to as a bell curve): T/F The mean, median, and mode of a normal distribution are always equal

T

T/F Every positive number has 2 square roots, one positive and one negative

T

T/F If you use the Picking Numbers Strategy (where you pick a number to replace the variable) always check every answer choice to make sure you haven't chosen a number that works for more than one answer choice

T

T/F In a frequency distribution, counts are converted to percents by adding all the counts to get the total and then dividing the individual count for each category by that total to obtain percentages

T

T/F Pie Chart: If you're not given the whole and you don't know both the percentage and the actual number that at least one slice represents, you won' be able to find the whole.

T

T/F The solution of an inequality is almost always a range of possible values, rather than a single value

T

T/F When given a math word problem, don't try to combine several sentences into one equation. Each sentence usually translates into a separate equation

T

T/F pie charts show how things are distributed

T

T/F y = mx + b

T

What formula would you use to determine the time it took for 2 people to do a task (combined work)

T = (AB)/(A+B)

Factoring

Take a common factor out of the original equations and "pull it out."

Base

The "bottom" face of a solid as oriented in any given diagram

Prominent

Projecting outward

Quartiles: The median of the lower half of a set of data represents the first quartile, which is written as ____. The median of the upper half is the third quartile, which is written as______. The median of the entire set is ______ or _______.

Q1; Q3; Q2 or M

Pugnacious

Quick to argue

relative frequency distribution: The value of a randomly chosen value from a known distribution of data is called what?

Random variable X

What is the ratio formula?

Ratio = of/to

Range

The difference between the highest and lowest numbers

What are some examples of four sided figures or quadrilaterals?

Rectangles, squares, and parallelograms

RUB/RUD

Red

Pestilential

Refer to things that cause disease or are caused by disease.

Stratospheric

Relating to the layer of the earth's atmosphere extending to about 50 km above the earth's surface; extremely high

Bipartisan

Representing two parties

Deferential

Respectful; to yield to judgement

DEXT

Right hand, right side, deft

Fluctuate

Rise and fall irregularly in number or amount

RACI/RADI

Root

NOM

Rule, order

UMBR

SHadow

The y-value on a histogram shows what?

The frequency

Digit

The numbers 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Coordinates

The numbers that designate distance from an axis in coordinate geometry (ex. (-2,5) x-coordinate = -2 and y-coordinate = 5)

Lien

The right to hold a property due to an outstanding debt

Cryptology

The science of interpreting secret writings, codes, ciphers, and the like

Taxonomy

The science, laws, or principles of classification

Face

The surface of a solid that lies in a particular plane (ex on page 329)

SAL

Salt

(H)OM

Same

(H)om

Same

SEM

Seed, to sow

AUTO-

Self

EGO

Self

If x is a positive integer, which group of values has the greater Standard Deviation? {x, 2x, 3x, 4x} Set A {x, 3x, 5x, 7x} Set B

Set B has a greater standard deviation

Stark

Severe or bare in appearance or outline

Austere

Severe or stern in appearance; undercorated

MORPH

Shape

Acute

Sharp at the end; ending in a point

AC/ACR

Sharp, bitter, sour

NAU/NAV

Ship, sailor

BREV/BRID

Short, small

Ephemeral

Short-lived, Something that only lasts a short time

Brevity

Shortness

SOMN

Sleep

Dormant

Sleeping; inactive

MICRO

Small

Guile

Smart but sometimes dishonest behavior that you use to deceive someone (The president will need to use all her political guile to stay in power.)

FUM

Smoke

Gregarious

Sociable; enjoying spending time with others

MOLL

Soft

Chauvinist

Someone prejudiced in favor of a group in which he or she belongs

The uninitiated

Someone(s) without special knowledge or experience

Increment

Something added or gained; an addition or increase

Utilitarian

Something designed to be useful or practical rather than attractive

Anachronism

Something out of place in time

Outpouring

Something that streams out rapidly

Fluctuation

Something that varies rising and falling

Acelerant

Something used to speed up a process

Mollify

Soothe; soften; calm

Doleful

Sorrowful, mourning

PHON

Sound

Phon

Sound

Orthodox

Sound correct in opinion or doctine

Acerbic

Sour or astringent in taste; harsh in temper

Math vocab: Legs

The two equal sides of an isosceles triangle or the two shorter sides of a right triangle

Cosmos

The universe; an orderly system; order

Default

To fail

CAD/CID

To fall, to happen by chance

PALP

To feel

SENS/SENT

To feel, to be aware

PLE/PLEN

To fill, full

FUG

To flee, to fly

FLU/FLUX

To flow

PLEX/PLIC/PLY

To fold, twist, tangle, or bend

SEC/SEQU/SUE/SUI

To follow

Exonerate

To free from or declare free from blame

Emancipate

To free from restraint

PET/PIT

To go, to seek, to strive

CED/CEED/CESS

To go, to yield, to stop

CRE/CRES/CRET

To grow

PEND/PENS

To hang, to weight, to pay

Recur

To happen again

Precipitate

To hasten the occurrence of; to bring about prematurely

Abhor

To hate, detest

TAIN/TEN/TENT/TIN

To hold

Diagnose

To identify disease or fault from symptoms

exacerbate

To increase bitterness or violence; aggravate

aggrandize

To increase in power, influence, and reputation

JUD

To judge

Arbitrate

To judge a dispute between two opposing parties

GNI/GNO

To know

SCI

To know

DUC/DUCT

To lead

Induce

To lead or move by influence

CLI

To lean toward

SAL/SIL/SAULT/SULT

To leap, to jump

CUB/CUMB

To lie down

LEV

To lift, to rise, light (weight)

Disdain

To look upon or treat with contempt

SPEC/SPIC

To look, to see

PHIL

To love

Embellish

To make beautiful; to ornament

defile

To make foul, dirty, or unclean

Decipher

To make out the meaning; to interpret

Belittle

To make small; to make something appear smaller

Subjugate

To make subservient; to make under a yoke

JOIN/JUG/JUNCT

To meet, to join

Deride

To mock

MOB/MOM/MOT/MOV

To move

Agitate

To move or force into violent irregular action

Abstain

To not do something; refrain

Proffer

To offer

PEN/PUN

To pay, to compensate

Conciliate

To placate, win over

LUD/LUS

To play

Advocate

To plead in favor of

PLAC

To please

FUS

To pour

Diffuse

To pour out and spread, as in a fluid

Eulogize

To praise highly

Preclude

To prevent the presence, existence, or occurrence of

Endow

To provide with a permanent fund

Castigate

To punish in order to correct

Castigate

To punish or criticize

PON/POS/POUND

To put, to place

LEC/LEG/LEX

To read, to speak

Attenuate

To reduce in force or degree; to weaken

MON/MONIT

To remind, to warn

Reiterate

To repeat

Rejoinder

To reply, retort

SOURC/SURG/SURRECT

To rise

Remonstrate

To say or plead in protest, objection, or reproof

Dissipate

To scatter wastefully

Intersperse

To scattering here and there

VID/VIS

To see

QUE/QUIS

To seek

LECT/LEG

To select, to choose

MIS/MIT

To send

Remand

To send back

Remit

To send money

Inflame

To set on fire

Endorse

To sign on the back; to vouch for

FAB/FAM

To speak

STA/STI

To stand, to be in place

GRAD/GRESS

To step

HER/HES

To stick

TEND/TENS/TENT/TENU

To stretch, to thin

DOL

To suffer, to pain, to grieve

Abduct

To take away by force

PREHEND/PRISE

To take, to get, to seize

DAC/DOC

To teach

JECT

To throw, to throw down

LI/LIG

To tie, to bind

STRICT/STRING/STRAN

To tighten, to bind

VERS/VERT

To turn

ERR

To wander

LAV/LAU/LU

To wash

SCRIBE/SCRIPT

To write

Gram/Graph

To write or draw

GRAM/GRAPH

To write, to draw

LANG/LING

Tongue

What is the formula for overlapping sets?

Total = Group A + Group B - Both + Neither

OB

Toward, to, against, over

Eminent

Towering above others; projecting

Itinerary

Travel plans

Bursar

Treasurer

Interloper

Trespasser, intruder, invader

Credit

Trustworthiness

BI/BIN

Two

Immutable

Unchangeable, invariable

HYPO

Underneath, beneath, less than

What is this an example of: Rewriting x(y +z) to xy + xz

Unfactoring

Events A and B are independent. P(A) is 0.60 and P(A or B) is 0.94. What is the probability that event B occurs ?

Use the following formula: P(A or B) = P(A) + P(B) - P(A and B). Since the events are independent, P(A and B) = P(A) * P(B). Plug in the values given in the problem: 0.60 + P(B) - (0.60 * P(B)) = 0.94 then simplify: 0.60 + P(B) - 0.60P(B) = 0.94 -> 0.60 + 0.40P(B) = 0.94 -> 0.40P(B) = 0.34 -> P(B) = 0.85

How many integers are there from 73 through 419, inclusive?

Use the formula: B - A + 1 419 - 73 + 1 = 347 (page 667)

Abject

Utterly hopeless, humiliating, or wretched

What is the equation for the volume of a rectangular solid

V = l * w * h (length * width * height)

What is the equation for the volume of a right circular cylinder

V = πr²h (h = height)

Multitudinous

Very many; containing very many; having very many forms

Demographics

Vital and social statistics of populations

What is the formula for the volume of a cylinder

Volume = (area of the base) * height = π(r^2)h

What is the formula for the volume of a rectangular solid

Volume = Length * Width * Height

Errant

Wandering or traveling, especially in search of adventure

BELL

War

Belligerent

Warlike, given to waging war

Prodigal

Wastefully or recklessly extravagant

AQUA/AQUE

Water

When is an integer divisible by 2

When its units digit is divisible by 2

When is an integer divisible by 5

When its units digit is either 0 or 5

When can you add or subtract a square root

When the square roots contain the same number (Ex. the square root of two + the square root of 3 does NOT equal the square root of 5, but the square root of two + the square root of two does equal 2*the square root of 2)

When is an integer divisible by 3

When the sum of its digits is divisible by 3 (for example 123 is divisible by 3 because 1 + 2+ 3 = 6 and 6 is divisible by 3)

How do you know if you've found all of the factors

When there are no integers between the last pair of factors that also divide evenly to your starting number

Normal distribution (Commonly referred to as a bell curve): The greater the spread of data around the average the wider or more narrow the curve?

Wider

In short, when two (or more) parallel lines are cut by a transversal, all acute angles formed are _____, obtuse angles formed are _______, and any acute angle formed is _________ to any obtuse angle formed.

equal; equal; supplementary

Cloister

a courtyard bordered with covered walks, esp. in a religious institution

Subterfuge

a deception used to avoid a confrontation

frequency distribution

a description of how often certain data values occur in a set and is typically shown in a table or histogram

Monogram

a design combining multiple letters into one

In the quadratic formula, f(x) = ax^2 + bx +c, What does a determine

a determines which direction the parabola opens (if a is positive, the parabola opens upwards. If a is negative, the parabola opens downward.)

meridian

a direct line from the North Pole to the South Pole; the highest point reached by the sun; noon

Rogue

a dishonest or unprincipled man

Malady

a disorder or disease of the body

Controversy

a disputation; a quarrel

Diocese

a district under the pastoral care of a bishop in the Christian Church.

dichotomy

a division into two parts, kinds, etc.

Holograph

a document written entirely by the person whose name it's in

Nocturne

a dreamlike piece of music; a painting set at night

faux pas

a false step; a social gaffe

Enmity

a feeling or condition of hostility; hatred; ill will; animosity; antagonism

inamorata

a female lover

Plane

a flat surface that extends indefinitely in all directions

refugee

a fleeing person who seeks refuge

Dirge

a funeral hymn or mournful speech

monarchy

a government in which the supreme power is lodged in a sovereign

Deluge

a great flood of water

Refuge

a haven for those fleeing

Chronometer

a highly accurate clock or watch

Cent

a hundredth of a dollar

Verdict

a judgement or decision

Deficiency

a lack or shortage

Idiom

a language, dialect, or style of speaking peculiar to a people.

Conflagration

a large, destructive fire

Harangue

a lengthy and aggressive speech

Flambeau

a lighted torch

Circut

a line around an area; a racecourse; the path traveled by electrical current

Chord

a line segment that joins two points on a circle.

Oratory

a long, formal speech

Pedant

a person who is excessively concerned with minor details and rules or with displaying academic learning.

Monger

a person who is involved with something in a petty or contemptible way (usually used in combination). Ex) a gossipmonger

homosexual

a person who is sexually attracted to people of their own sex

Pilgrim

a person who journeys to a sacred place for religious reasons

its

a personal pronoun that shows possession

Ossuary

a place where bones are kept; a charnel house

Monograph

a scholarly study of a single subject

Integer

a positive or negative whole number

penitentiary

a prison for people convicted of serious crimes

Antibody

a protein naturally existing in blood serum that reacts to overcome an antigen

Orator

a public speaker, especially one who is eloquent or skilled

Enigma

a puzzle; a mystery

Gyration

a rapid movement in a circle or spiral; a whirling motion

Effigy

a sculpture or model of a person

In similar triangles, corresponding angles are _____ and corresponding angles are ______

equal; proportional

Equidistant

equally distant

Quotidian

everyday; ordinary

Panegyric

formal or elaborate praise at an assembly

Progress

forward movement

Two intersecting lines form _______ angles

four

Antiseptic

free from germs; particularly clean or neat

Certitude

freedom from doubt

A ________ ____________ is a description of how often certain data values occur in a set and is typically shown in a table or histogram

frequency distribution

Affable

friendly, courteous

amity

friendship; peaceful harmony

Intimidate

frighten or overawe someone to make them do what one wants

Redeem

gain or regain possession of something in exchange for payment

liberality

generosity

Largess

generosity in bestowing money or gifts upon others.

Magnanimous

generous in forgiving an insult or injury

Annuity

a series of payments made at equal intervals.

Pythagorean triple

a set of three integers that work in the pythagorean theorem

Excursion

a short journey or trip

Anecdote

a short narrative about an interesting event

Monolith

a single block of stone, often shaped into a monument

Faction

a small dissenting group within a larger one esp. in politics

Elegy

a sorrowful poem or speech

Hologram

a sort of three-dimensional image

Incarnate

given a bodily, esp. a human form

Oligarchy

a state or society ruled by a select group

Anarchy

a state or society without government or law

Dismal

gloomy (from "bad days")

Proposition

a statement or assertion that expresses a judgment or opinion

Acrolith

a statue with a stone head and limbs (but a wooden body)

Icon

a symbolic picture; a statue; something seen as representative of a culture or movement

Macrobiotics

a system intended to prolong life

Judiciary

a system of courts; members of a court system

Centigrade

a temperature system with one hundred degrees between the freezing and boiling points of water

Interium

a temporary or provisional arrangement; meantime

Cosmology

a theory of the universe as a whole

Apostasy

a total desertion of one's religion, principles, party, cause, etc.

inherited

a trait passed down from one's parents

Incandescent

glowing with heat, shining

THEO

god

Egress

going out; way out

Democracy

government by the people

Woe

great sorrow or distress

equilateral triangle

a triangle with all equal sides. Each angle of this triangle is 60-degrees

isosceles triangle

a triangle with two equal sides.

Livery

a uniform; an emblem indicating an owner or manufacturer

Referendum

a vote on a political question open to the entire electorate

Yuppie

a well-paid young middle-class professional who has a luxurious lifestyle

Panoply

a wide-ranging and impressive array or display

Epithet

a word or phrase, used inventively as a term of abuse

Lexicographer

a writer of dictionary

ab + ac =

a(b + c)

Adherent

able to adhere; believer or advocate of a particular thing

Imminent

about to happen, urgent

BE- (often used to transform words into transitive verbs)

about, to make, to surround, to affect

Terse

abruptly concise; to the point; using few words

Benediction

act of uttering a blessing

Fanatical

acting excessively enthusiastic; filled with extreme, unquestioned devotion

Estimable

admirable

Formidable

inspiring fear or respect through being impressively large and powerful

When one integer is divisible by another, the result is an ________

integer

didactic

intended for instruction

Dilatory

intended to delay

Conciliatory

intended to gain goodwill or favor or to reduce hostility

After hours

after normal working or opening hours, typically those of bars and nightclubs

ANTI-

against, opposite

Congruence

agreement or harmony; compatibility.

Concordance

agreement, concord, harmony

Concord

agreement; peace, amity

nonnegative

all positive numbers and zero

Omnipotent

all-powerful

The _______, or _______, of a triangle is the perpendicular distance from a vertex to the side opposite the vertex

altitude; height

Droll

amusing in an odd way

Claustrophobic

an abnormal fear of enclosed places

Hyperglycemia

an abnormally high concentration of sugar in the blood

Autocrat

an absolute ruler

Acute angle

an angle that measures less than 90 degrees

Ethos

an appeal to ethics used to convince an audience of the authority/credibility of the persuader

Lead-up

an event, point, or sequence that leads up to something else

Maven

an expert or connoisseur

Panegyric

an expression of praise

Accretion

an increase by natural growth

Gibe

an insulting or mocking remark; a taunt.

Anomaly

an irregularity

Herald

an official messenger bringing news/be a sign that something is about to happen

Lithotomy

an operation to remove stones from the body

Ebullience

intense enthusiasm

Fervid

intensely enthusiastic or passionate, especially to an excessive degree.

The ______ of 2 sets is a set that consists of all the elements that are contained in both sets (this is the overlap between sets)

intersection

Inherent

involved in the constitution or essential character of something

Fractious

irritable, peevish

Sequester

isolate or hide away (someone or something)

Is the standard deviation of 6, 0, and 6 greater or smaller than 4, 4, and 4

it is greater because the numbers are more widely dispersed

What is the longest chord of a circle

its diameter

Desultory

jumping from one thing to another; disconnected

Inchoate

just beginning; not yet completed or fully developed;

Euthanasia

killing a person painlessly, usually one who has an incurable, painful disease

Esoteric

known or understood only by a few

VI

lIfe

Inexperience

lack of experience

discord

lack of harmony between persons or things

Monotony

lack of variation

Lackluster

lacking brilliance or radiance

Listless

lacking energy or enthusiasm (If a fever has made you feel listless, you might also feel like you are melting into the sofa.)

insipid

lacking interest or flavor

Insipid

lacking interest, dull, boring

Breviloquent

laconic; concise in one's speech

ULT

last, beyond

Ephemeral

lasting a very short time

Perennial

lasting for an indefinite amount of time

transient

lasting only for a short time; impermanent.

What is the formula for the lateral surface area of a cylinder

lateral surface area of a cylinder = (circumference of base)(Height) = 2πrh

profuse

lavish, extravagant, copious

JUR

law, to swear

Duration

length of time something lasts

Parallelogram: Opposite sides are equal in _______; opposite angles are equal in _____

length; measure

______ graphs use points connected by lines

line graphs

Sublime

lofty or grand

coherent

logically consistent; having waves in phase and of one wavelength

Tirade

long, harsh speech or verbal attack

∠A of triangle ABC is a right angle. Is side BC longer or shorter than side AB?

longer

Bellicose

looking for a fight

Lax

loose; indisiplined

Lose shirt

lose a lot of money, lose all of one's assets

Vociferous

loud and noisy

clamor

loud uproar

AM

love

If the values of a group of numbers are relatively close to the mean, then the standard deviation is high or low?

low

Recumbent

lying down; reclining; leaning

Ornate

made in an intricate shape or decorated with complex patterns

assuaging

make (an unpleasant feeling) less intense; to calm

Placate

make (someone) less angry or hostile. To soothe or appease

incapacitated

make incapable or unfit; disable.

Mitigate

make less severe, serious, or painful. lessen the gravity of (an offense or mistake).

Configuration

manner of arrangement, shape

Lance corporal

military rank, below corporal, typically the lowest non-commissioned officer

Micron

millionth of a meter

Graphite

mineral used for writing, as the "lead" in pencils

Malfeasance

misconduct or wrongdoing, especially by a public official

Diffident

modest or shy because of a lack of self-confidence.

Perk

money, goods, or other benefit to which one is entitled as an employee or as a shareholder

The smaller the standard deviation, the ___________ the values are around the mean

more closely grouped

The greater the standard deviation, the ___________ the values are

more widely dispersed

Quiescent

motionless

Gyrate

move or cause to move in a circle or spiral, especially quickly

Ambient

moving around freely; circulating

Excrescence

an outgrowth

abnormality

anomaly; irregularity

Paean

any song of praise, joy, or triumph

Androgen

any substance that promotes masculine characteristics

Credentials

anything that provides the basis for belief

What is the formula for the area of a trapezoid

area = (average of parallel sides)(height)

What is the formula for the area of a square

area = (side)^2

What is the formula for the area of a parallelogram

area = base*height

Contentious

argumentative

CIRU/CIRCUM

around

intermittently

at intervals; from time to time

Haphazard

at random

Final

at the end; coming last

Entice

attract or tempt by offering pleasure or advantage

heterosexual

attracted to the opposite sex

Anthropomorphism

attribution of human characteristics to inanimate objects, animals, or natural phenomena

Disinclination

aversion, distaste

Cognizant of

aware of, having knowledge of

DI/DIF/DIS

away from, apart, reversal, not

DE

away, off, down, completely, reversal

quadratic equation

ax² + bx + c = 0

Pythagorean Theorem

a²+b²=c²

RETRO

backward

Cantankerous

bad-tempered, argumentative, and uncooperative.

Foreshadow

be a warning or indication of (a future event).

Flog

beat (someone) with a whip or stick as punishment or torture.

Obsolescent

becoming obsolete

ANT/ANTE

before

Incipient

beginning to exist or appear; in an initial stage:

Androgynous

being both male and female

Iconic

being representative of a culture or movement

Dogma

belief held to be true

Intrinsic

belonging to a thing by its very nature

intrinsic

belonging to a thing by its very nature

Antediluvian

belonging to the period before the biblical flood; very old or old-fashioned

Genuflect

bend the knee as in worship

INTER

between, among

A line or line segment ______ an angle if it splits the angle into two smaller, equal angles

bisects

AMBI/AMPHI

both, on both sides, around

Laconic

brief and to the point. Using very few words

Stout

bulky in figure; heavily built; corpulent; thickset; fat (She is getting too stout for her dresses.)

onerous

burdensome, difficult

Caustic

burning or corrosive

Ardent

burning; fierce; passionate

Segmented bar graphs: Values for any value except for the first are calculated how

by subtracting the value at the bottom portion of the bar for that category from the value at the top of that portion of the bar

VOC/VOK

call, word

Malleable

capable of being shaped

ABLE/IBLE

capable of, worthy of

Foresight

care or provision for the future

Enervated

cause (someone) to feel drained of energy or vitality; weaken. (A three-hour lecture on the history of socks might thrill someone, it would enervate most people.)

Engender

cause or give rise to (a feeling, situation, or condition)

deleterious

causing harm or damage

Circumspect

cautious; watching all sides

Lionized

celebrated

amicable

characterized by exhibiting good will

Magistrate

civil officer or lay judge who administers the law

Lucid

clear and easily understood

Crimp

compress (something) into small folds or ridges.

Duress

compulsion by threat, coercion

Succinct

concise; to the point

Corroborate

confirm or give support to (a statement, theory, or finding).

What is this an example of: -3, -2, -1, 0, 1, 2, 3...

consecutive

Grind on

continue for a long time in a wearying or tedious way

Fusillade

continuous discharge of firearms or outburst of criticism

Conductive

contributive, helpful

Propriety

correct behavior; obedience to rules and customs

Scissors

cutting instrument for paper

What is the formula for the diameter of a circle?

d = 2r

Diurnal

daily

DI

day

Bawdy

dealing with sexual matters in a comical way; humorously indecent

Decadent

decaying; deteriorating

Duplicitous

deceitful

Specious

deceptively attractive; seemingly plausible but fallacious

Hapless

describe someone unlucky and deserving of pity (like the hapless car buyer who gives in to the fast-talking salesperson.)

culpable

deserving blame or censure

Erratic

deviating from the usual or proper course of conduct

Guileless

devoid of guile; innocent and without deception.

Dogmatic

dictatorial in one's opinions

Inscrutable

difficult to understand or interpret

Adversity

difficulties or misfortune

Discord

disagreement between people.

Infidel

disbeliever in the supposed true religion

Perfunctory

done in a routine way; indifferent

Tacit

done without using words

dubious

doubtful

Dubiety

doubtfulness

Humble

down-to-earth

Siphon

draw off or convey liquid by means of a long and small tube

Prosaic

dull; matter-of-fact or unimaginative

Uninspired

dull; uninteresting

Truculent

eager or quick to argue or fight; aggressively defiant.

HUM

earth

Irascible

easily angered

Docile

easily managed or handled; tractable

Carnivorous

eating flesh

Efficacy

effectiveness

A set with no elements is called a ________

empty set

FIN

end

Parallelogram: The opposite angles are ______

equal

You cannot reduce numbers across a ______ sign, _______ sign, or ______ sign

equal sign, plus sign, or minus sign

Adequate

equal to the requirement or occasion

Parallelogram: Opposite sides are _____ in length; opposite angles are _____in measure

equal; equal

Locomotion

moving from place to place; the ability to do so

Segmented bar graphs, also called stacked bar graphs, display _______ quantities on each bar. These quantities represent different subgroups that ___ to the amount at the top of each bar.

multiple; sum

What is the formula for the perimeter of a rectangle

Perimeter = 2(l*w)

What is the combination formula

n! / k!(n-k)! (n is the number of items in the group as a whole and k is the number of items in each subgroup formed)

National side

national team, sports team that is the representative of the whole nation rather than a school or club

Indigenous

native; innate, natural

PROP/PROX

near

Adjacent

near, close, or contiguous; adjoining

Are fractions integers

no

are 0 and 1 prime numbers

no

are decimals integers

no

Dignity

nobility or elevation of character; worthiness

Obstreperous

noisy; unruly, disorderly

a set with members is called what

nonempty

A square root is always _______

nonnegative

UN

not

Opaque

not able to be seen through; not transparent.

Nonpartisan

not affiliated with a political party

Imperturbable

not capable of being disturbed

Insecure

not confident or assured; uncertain and anxious

Implicit

not expressly stated; implied

Inchoate

not fully formed; disorganized

Spurious

not genuine, false, fake

Innocuous

not harmful or injurious

Immoral

not moral; evil

NIHIL

nothing, none

Corpulent

obese , having a lot of flesh

fraudulent

obtained, done by, or involving deception, especially criminal deception.

Sporadic

occurring irregularly

Raising an odd number to any integer exponent greater than or equal to 0 gives a ________ number

odd

Apocryphal

of doubtful authorship or authenticity

trivial

of little value or importance.

unanimous

of one mind; in complete accord

Amatory

of or pertaining to lovers or love making

Centrist

of or pertaining to moderate political or social ideas

Gubernatorial

of or relating to a state governor or the office of state governor

Heterogeneous

of other origin; not originating in the body

apocryphal

of questionable authority or authenticity

ANIM-

of the life, mind, soul, breath

Homogeneous

of the same kind; alike

Ambulatory

of, pertaining to, or capable of walking

AB

off, away from, apart, down

eccentric

off-center

Obscene

offensive or disgusting by accepted standards of morality and decency

Antipodal

on the opposite side of the globe

Dexter

on the right

Fugitive

on the run, someone who flees

UNI/UN

one

Hypochondriac

one affected by extreme depression of mind or spirits, often centered on imaginary physical ailments

homonym

one of two or more words spelled and pronounced alike but different in meaning

Iconoclast

one who attacks established beliefs; one who tears down images

agnostic

one who believes that the existence of God is not provable

Philanderer

one who carries on flirtations

Predecessor

one who comes before another in an office, position, etc

Nonconformist

one who does not conform to a church or other societal institution

Libertine

one who follows one's own path, without regard for morals or other restrictions

Misanthrope

one who hates humans or humanity

Perambulator

one who makes a tour of inspection on foot

Iconoclast

one who opposes established beliefs, customs, and institutions

IDIO

one's own

Ambiguous

open to more than one interpretation; unclear

Antithetical

opposite

Mundane

ordinary

AL/ALI/ALTER

other, another

Gregarious

outgoing; sociable

HYPER

over, excessive

Obsequious

overly submissive

Obsequious

overly submissive and eager to please

Stationery

paper used for letter writing

What is the percent formula?

part = percent x whole

Zeal

passion; excitement

Fervor

passion; zeal

Idiosyncrasy

peculiarity of temperament; eccentricity

Incisive

penetrating, cutting

Nobility

people of the highest social rank in a society, considered as a group

The cognoscenti

people with a lot of knowledge about a particular subject; experts

What is the percent decrease formula

percent decrease = (amount of decrease/ original whole)(100%)

The price goes up from $80 to $100. What is the percent increase

percent increase = (20/80)(100%) = (0.25)(100%) = 25% (page 666)

What is the percent increase formula

percent increase = (amount of increase/ original whole)(100%)

The distance around a polygon is called its _____

perimeter

What is the formula of the perimeter of a rectangle

perimeter = 2(length + width)

Disabuse

persuade (someone) that an idea or belief is mistaken. (to set right; to free from error)

Acoustic

pertaining to hearing; sound made through mechanical, not electronic, means

Bilateral

pertaining to or affecting two or both sides

Hypodermic

pertaining to under the skin

Euphemism

pleasant-sounding term for something unpleasant

VIRU

poison

Polity

political organization

Indigent

poor, needy, lacking in what is needed

Deference

respect; courtesy

Plush

richly luxurious and expensive

Ludicrous

ridiculous, laughable, absurd

What is the equation for slope

rise over run = y/x

VOLU/VOLV

roll, turn

Coarse

rough, not smooth; lacking refinement

Circuitous

roundabout, indirect

Monarchy

rule by a single person

Full-on

running at or providing maximum power or capacity.

COUR/CUR

running, a course

Sacrosanct

sacred; holy

Dejected

sad, depressed

Eclectic

selecting from or made up from a variety of sources

eclectic

selecting ideas, etc. from various sources

Egoism/egotism

selfishness; self-absorption

Dismissed

send away.

Lavish

sumptuously rich, elaborate, or luxurious

Two angles are __________ to each other if their measures sum to 180-degrees

suplementary

What is the formula for the surface area of a cylinder

surface area = 2π(r^2) + 2πrh

What is the formula of the surface area of a cube

surface area of a cube = sum of areas of faces = 6e^2 (e = edge)

What is the formula of the surface area of a rectangular solid

surface area of a rectangular solid = sum of areas of faces = 2lw + 2lw +2lw

Dulcified

sweetened; softened

Iconology

symbolism

Nomenclature

systematic naming

If it takes joe 4 hours to paint a room and pete twice as long to paint the same room, how long would it take the two of them, if each of them works at his respective individual rate?

t = 8/3 (#66 Page 677)

Injest

take food or drink by swallowing or absorbing it

Coo

talk fondly, amorously, or appreciatively

Garrulous

talkative

Loquacious

talkative

SAG/SAP/SAV

taste, thinking, discerning

indoctrinate

teach (a person or group) to accept a set of beliefs uncritically

Transitory

temporary; lasting a brief time

soporific

tending to induce drowsiness or sleep.

Junction

the act of joining; combining; a place where multiple paths join

Infusion

the act of permeating or steeping; liquid extract so obtained

Confiscatory

the act of something being taken away from someone by a government

Frankness

the act of speaking plainly and truthfully regardless of others' opinions; speaking the truth

Diminution

the act or process of diminishing; reduction

Cronyism

the appointment of friends and associates to positions of authority, without proper regard to their qualifications.

Elocution

the art of careful public speaking. (The actor's elocution is faultless. the study and practice of oral delivery, including the control of both voice and gesture.)

Epicenter

the central point of something, typically a difficult or unpleasant situation.

Nave

the central portion of a church (which resembles the shape of a ship)

Nullity

the condition of being nothing

Apogee

the highest or most distant point

What is the name of the longest side of a right triangle

the hypotenuse

Momentum

the impetus gained by a moving object; tendency to influence

Literalism

the interpretation of words in their usual or most basic sense

Hard-core

the most active or committed members of a group or movement

Prose

the ordinary language people use in speaking or writing

Circumference

the outer boundary of a circular area

Gentrification

the process of making a person or activity more refined or polite.

What does a base with a negative exponent indicate

the reciprocal of that base to the positive value of the exponent

sum

the result of addition

quotient

the result of division

Product

the result of multiplication

Difference

the result of subtraction

What is the hypotenuse always opposite?

the right angle

Anthropology

the science that deals with the origins of humankind

Chronology

the sequential order in which past events occurred

Hypotenuse

the side of a right triangle opposite the right angle, which is also the longest side

Carnage

the slaughter of a great number of people

Humility

the state of being humble

Lithology

the study of rocks and stones

Perimeter

the sum of the lengths of the sides

numberator

the top number in a fraction

Macrocosm

the universe; a large system that is reflected in at least one of its subsets

jurisprudence

theory or philosophy of law

What do the numbers 3, 5, 7, 11, and 13 have in common?

they are prime numbers

Fecund

things that are highly fertile and that easily produce offspring or fruit. (Rabbits are often considered to be fecund animals)

mea culpa

through my fault; my fault

What is the time formula (in relation to speed)?

time = distance / speed

Concur

to accord in opinion; agree

Adjudicate

to act as a judge

Impetuous

to act without thinking

NOUNC/NUNC

to announce

Proclaim

to announce or declare in an official way

Vex

to annoy

Foment

to arouse or incite

Annex

to attach, append, or add, especially to something larger or more important. to incorporate (territory)

Defame

to attack the good name or reputation of

Accrue

to be added as a matter of periodic gain

Adjoin

to be close or in contact with

Fail

to be insufficient; to be unsuccessful; to die out

TEST

to bear witness

Ossify

to become bone; to harden; to become callous

Innovate

to begin or introduce something new

Deflect

to bend or turn aside from a purpose

Infringe

to break or violate (a law)

Ingratiate

to bring oneself into favor

Mollify

to calm or make less severe

Repeal

to cancel

inculpate

to charge with fault

Reclaim

to claim or demand the return of right or possession

Exculpate

to clear from blame; prove innocent

Enclose

to close in; to surround on all sides

Amalgamate

to combine; to mix together

VEN/VENT

to come or to move toward

Congregate

to come together a group

MAND/MEND

to command, to order, to entrust

Coerce

to compel by force, intimidation, or authority

Propitiate

to conciliate; to appease

Ratify

to confirm or accept by formal consent

Admonish

to council against something; caution

Enumerate

to count, list, or itemize

Exclaim

to cry speak suddenly and vehemently

CAST/CHAST

to cut

CIS

to cut

Disclaim

to deny interest in or connection with

Dissuade

to deter by advice or persuasion; persuade not to do something

Extricate

to disentangle, release

abolish

to do away with, make void

FAC/FIC/FIG/FAIT/FEIT/FY

to do, to make

PEL

to drive, to push

Desiccate

to dry thoroughly; dry up. To preserve (food) by removing moisture; dehydrate.

Pacify

to ease the anger or agitation of

Confide

to entrust with a secret

FAL

to err, to deceive

Malinger

to evade responsibility by pretending to be ill

Lament

to express sorrow; to grieve

Palpate

to feel; to examine by touch

PUG

to fight

Interdict

to forbid; prohibit

Prognosis

to forecast, espically of disease

DON/DOT/DOW

to give

Succumb

to give away to superior force; yield

Laud

to give praise; to glorify

renounces

to give up

Err

to go astray in thought or belief; be mistaken

AMBL/AMBUL

to go, to walk

Fawn

to grovel

Extradite

to hand over (person accused of crime) to state where crime was committed

Exculpate

to have blame removed

Exonerated

to have one's innocence proven

Endure

to hold out against; sustain without yielding

degrade

to humiliate, dishonor, reduce to lower rank

Confine

to keep or restrict within certain limits; imprison

COGN/CONN

to know

Hackneyed

to lack freshness or originality

RID/RIS

to laugh

Prevaricate

to lie or deviate from the truth

Ameliorate

to make better; to improve

Increase

to make greater in any respect

adulterate

to make impure; to contaminate, to corrupt

Disclose

to make known, reveal, or uncover

Assuage

to make something unpleasant less severe/ satisfy (an appetite or desire)

Acertain

to make sure of; to determine

Rarefy

to make thinner or sparser

Dilate

to make wider or larger; cause to expand

Exacerbate

to make worse

Delude

to mislead; to fool; to decieve

Conduct

Personal behavior, way of acting

anterior

Placed before

Belie

to misrepresent; to contradict

Bemoan

to moan for; to lament

Regress

to move backward, revert to an earlier state

descend

to move from a higher to a lower place

Contradict

to oppose; to speak against

Condone

to overlook, pardon, or disregard

Inundate

to overwhelm; to cover with water

PUNC/PUNG/POIGN

to point, to prick, to pierce

Forestall

to prevent by advance action

Obviate

to prevent; to make unnecessary

PROB

to prove, to test

Fortify

to provide with fortifications; strengthen

Admire

to regard with wonder, pleasure, or approval

Spurn

to reject scornfully

Repudiate

to reject the validity of

Obfuscate

to render indistinct or dim; darken

Abjure

to renounce an oath

Abdicate

to renounce or relinquish a throne

Venerate

to respect deeply

Countermand

to retract an order

efface

to rub or wipe out; surpass, eclipse

Satiate

to satisfy fully or overindulge

SALIV

to save

DIC/DICT/DIT

to say, to tell, to use words

Disseminate

to scatter or spread widely

exorcise

to seek to expel an evil spirit by ceremony

Segregate

to separate from the crown

CERN/CERT/CRET/CRIM/CRIT

to separate, to distinguish, to judge, to decide

FULG

to shine

Abridge

to shorten

CLAIM/CLAM

to shout, to cry out

Exclude

to shut out; to leave out

CLA/CLO/CLU

to shut, to close

CANT/CENT/CHANT

to sing

incubate

to sit upon for the purpose of hatching

SED/SESS/SID

to sit, to settle

Mitigate

to soften; to lessen

Malign

to speak harmful untruths about, to slander

Suffuse

to spread throughout or over from within

Adhere

to stick fast; cleave; cling

occlude

to stop up; to prevent the passage of

Digress

to stray from the main subject

Bolster

to support or reinforce

Capitulate

to surrender unconditionally or on stipulated terms

Vacillate

to sway physically; to be indecisive

Extract

to take out, obtain against a person's will

CAP/CIP/CEPT

to take; to get

deign

to think fit or in accordance with one's dignity

delineate

to trace the outline of; sketch or trace in outline;

lionize

to treat as an object of great interest or importance; treat like a celebrity (She was lionized everywhere after her novel won the Pulitzer Prize.)

Fumigate

to treat someone which smoke or vapors

TOR/TORQ/TORT

to twist

US/UT

to use

Equivocate

to use expressions of double meaning in order to mislead

VOL

to wish

Recant

to withdraw or disavow a statement or opinion

Accede

to yield to a demand; to enter office

AD (Often the d is dropped and the first letter to which a is prefixed is doubled)

to, toward, near

Ineffable

too great for description in words; that which must not be uttered

Excruciate

torment someone physically or mentally

TIM

Fear

Solve the example on page 378

$13.75

Factor the expression 9x^2 - 1

(3x+1) (3x -1)

What is the unfactored form of x²-y²

(x+y)(x-y)

If 5 pounds of raisins that cost $1 per pound are mixed with 2 pounds of almonds that cost $2.40 per pound, what is the cost per pound of the resulting mixture?

$1.40 (#68 example 1 page 677)

What is the least common multiple of 6 and 8

(6 = (2)(3); 8 = (2)(2)(2). 2*2*2*3= ) 24

12√15 / 2√5 =

((12/2)(√15/√5) = (6√15/5) =)6√3

(4/3) / (4/9)

((4/3)(9/4) = 36/12 =) 3

(6√3) 2√5 =

((6)(2)(√3)(√5)=) 12√15

What is the formula used if there is a percent deincrease?

((decrease)(100%)) / original

What is the formula used if there is a percent increase?

((increase)(100%)) / original

√72

((√36)(√2) =) 6√2

Point m has coordinates (-2, -10), and point n has coordinates (-8, -6). What are the coordinates of the midpoint of the line segment that has endpoints m and n?

(-5, -8) (page 338)

The line 4X + 6Y equals 24 passes through which of the following points? (0,4) (2,3) (3,2) (5,4) (9,-1)

(0,4), (3,2), and (9,-1)

What formula would you use to determine the time it took for 3 people to do a task (combined work)

(1/T) = 1/A + 1/B + 1/C

Solve the example problem on page 325

(10,2)

a^2 + 2ab + b^2

(a + b)^2

Factor the expression: ac - 2bc - 2bd + ad

(a - 2b)(c +d) (The first 2 terms contain the variable c, so convert these to (c)(a - 2b) by factoring out c. The last 2 terms contain the variable d, so convert these to (d)(a - 2b). The expression can be restated as (c)(a - 2b) + (d)(a - 2b). now, a-b is a common term, so factor it out to get (a - 2b)(c +d) )

a^2 - b^2

(a - b)(a + b)

a^2 - 2ab + b^2

(a - b)^2

Audacious

(adj.) bold, adventurous, recklessly daring

Erudite

(adj.) scholarly, learned, bookish

Laudable

(an action, idea, or goal) deserving praise and commendation.

Logos

(appeal to logic) is a way of persuading an audience with reason, using facts and figures.

What is the formula for a compound interest problem

(final balance) = (principal)*(1 + (interest rate / c))^(time)(c) Where c = the number of times the interest is compounded annually

What is the formula for the sum of the interior angles in a polygon with n sides

(n - 2) * 180

What is the formula for the degree measure of one angle in a regular polygon with n sides (regular meaning all angles in the polygon are equal in measure)

(n-2)*180 / n

Tenet

(n.) an opinion, belief, or principle held to be true

What is the formula to find the length of an arc?

(n/360) * 2πr (n being the degree of the arc. example number 93 on page 685)

What is the formula to find the area of a sector?

(n/360) * πr^2 (n being the degree of the arc. example number 94 on page 685)

Palpable

(of a feeling or atmosphere) so intense as to seem almost tangible.

Percipient

(of a person) having a good understanding of things; perceptive.

Vacillate

(v.) to swing indecisively from one idea or course of action to another

Mellifluous

(voices or words that are) sweet or musical; pleasant to hear.

What is the slope of the line that contains the points (1,2) and (4,-5)

-(7/3) Slope = (-5-2) / (4-1) = -7/3

What is the minimum value of x in the function f(x) = x^2 - 1?

-1 (#87 page 683)

What is the value of (√3 + 3√27)(2√3 - √27)?

-30 (Hint: FOIL)

If x^2 + 10x + 25 = 0, What is the value of x? 25 10 5 -5 -10

-5 (pg 249)

|x| = 5, x could equal what

-5 or 5

If $10000 is invested at 8% annual interest, compounded semiannually, what is the balance after 1 year?

10,816 (#59 page 675)

Math Translation: Percent

/100

0^4

0

If it is impossible fro something to happen, what is its probability?

0

29 * 10^-3

0.029

what is the probability of tossing a fair coin four consecutive times and having the coin land heads up exactly once?

0.25 Since a coin is tossed four times and each toss has two possible outcomes, the total number of outcomes, using the multiplication principle, is 2 * 2 * 2 * 2 = 2^4 = 16 number of desired outcomes can be easily counted: HTTT, THTT , TTHT, or TTTH. So there are 4 desired outcomes, and the probability of rolling exactly one head is 4/16 = 1/4 = 0.25

If A list consists of the numbers 1, 3, 3, 3, 3, 3, 3, and 5 and list B consists numbers 2, 3, 3, 3, 3, 3, 3 , and 4, how much greater is the standard deviation of list A than that of list B?

0.5 Each list consists of 8 numbers, 6 of which are 3 and 2 that have other values. In each list those other numbers average 3 (1 and 5 in the first list, 2 and 4 in the second) so the mean of each list is 3. For list A, the differences are 2, 0, 0, 0, 0, 0, 0, and 2; those of list B are 1, 0, 0, 0, 0, 0, 0, and 1. The sum of the squared differences are 8 / 8 = 1 and 2/8 = .25. The SD of the 2 lists are the nonnegative square roots of those averages. For list A, the square root of 1 is 1; for list B, the square root of 0.25 is 0.50. Therefore the difference between the two SDs is 1 - 0.5 = 0.50) (page 282)

Events A and B are independent but not mutually exclusive. The probability that event A occurs is 0.5 and the probability that at least one of the events, A or B, occurs is 0.8. What is the probability that event B occurs ?

0.6 Use the formula: Pa or b = Pa + Pb - Pa and b. Since the events are independent, Pa and b = Pa * Pb therefore the equation is Pa or b = Pa + Pb -(Pa * Pb) (Page 298)

What is the probability of tossing a fair coin four consecutive times and having the coin land heads up 0, 2, 3 , or 4 times?

0.75 We know that the probability of the coin landing heads up exactly once is 0.25 (Since a coin is tossed four times and each toss has two possible outcomes, the total number of outcomes, using the multiplication principle, is 2 * 2 * 2 * 2 = 2^4 = 16 number of desired outcomes can be easily counted: HTTT, THTT , TTHT, or TTTH. So there are 4 desired outcomes, and the probability of rolling exactly one head is 4/16 = 1/4 = 0.25). To find the probability of the coin landing heads up not exactly once, subtract that probability from 1: 1 - 0.25 = 0.75

0!

1

15^0

1

3^0

1

If something is certain to happen, what is its probability?

1

When integer a is divided by 5, the remainder is 2. when integer b is divided by 5, the remainder is 3. what is the remainder when a*b is divided by 5?

1

How many times does the parabola represented by the function f(x) = x^2 - 3x + 28 intersect the parabola represented by the function g(x) = 2x^2 + 7x + 53 ?

1 (page 339)

n^-2

1 / (n^2)

5^-3

1 / 5^3 = 1 / 125

√x^-2

1 / x (number 80 page 682)

A circle and a square have the same area. What is the ratio of the radius of the circle to the length of a side of the square

1 / √π (page 340)

Which number(s)represent the tens place: 315.246

1 and 2

In a 45-45-90 triangle, the side lengths are multiples of what

1, 1, and √2, respectively

In a 30-60-90 triangle, the side lengths are multiples of what

1, √3, and 2, respectively

(5/8)(2/15)

1/12 (page 664)

The area of circle O is 1/4th that of circle P. The circumference of circle O is what fraction of the circumference of a circle P?

1/2 (page 341)

What is the probability that one roll of a fair six-sided die will result in an even number?

1/2 A roll of 2, 4, or 6 would meet the criteria in the question. These are mutually exclusive outcomes, so add their probabilities: 1/6 + 1/6 + 1/6 = 3/6 = 1/2

What is the area of a triangle

1/2 x base x height

Set a consists of the values 1, 2, and 3. set b consists of the values 5, 6, and 7. One number is selected at random from each set. The two selected numbers are then added together. The probability that the sum is even is how much greater than the probability that the sum is a prime number? 1/9 2/9 1/3 2/5 3/5

1/3 (page 371)

A bag contains 10 marbles, four of which are blue and six of which are red. If two marbles are removed without replacement, what is the probability that both marbles removed are red?

1/3 The probability that the first marble removed will be red is 6/10 = 3/5. The probability that the second marble removed will be red will not be the same, however. There will be fewer marbles overall, so the denominator will be one less. There will also be one fewer red marble. ( Note that since we are asking about the odds of picking two red marbles, we are only interested in choosing a second marble if the first was red. Don't concern yourself with situations in which a blue marble is chosen first.) If the first marbel removed is red, the probability that the second marble removed will also be red is 5/9. So the probability that both marbles removed will be red is (3/5)(5/9). The 5s cancel out leaving: 3/9 = 1/3

What is the probability of rolling a 6 on two consecutive rolls of a fair six sided die?

1/36 There are 6 equally likely outcomes for one roll of a fair die. One of these outcomes is 6, so the probability of rolling a 6 is 1/6. The question asks for the probability of rolling a 6 on the first roll and the probability of rolling a 6 on the second roll. These events are independent, so multiply the two probabilities: 1/6 * 1/6 = 1/36

What is the probability of the result of 4 independent coin flips being exactly 1 head and 3 tails?

1/4 (page 297)

A six-sided die used for a board game has the letter R on 3 sides, S on 2 sides, and T on the remaining side.. What is the probability of rolling an R , an S, and a T on 3 rolls of the die, in any order ?

1/6 (Page 298)

n^-1

1/n

0, 10, 20, 30, 40, 50, and 60 are all multiples of what

10

What is the range of {-3, 0, 2, x, 6, y, 3} if x^2 + 8x = -16 and y^2 - y = 6

10 In order to determine the range of the group of numbers, the values of x and y are needed. Rearrange the equation for x to: x^2 + 8x + 16 = 0 This factors to (x + 4)^2 = 0, so the only value for x is -4. At this point, the smallest known value in the group is -4 the smallest known value in the group is -4, and the greatest is 6. Set up the equation for in standard quadratic format: y^2 - y - 6 = 0 This factors out to (y - 3)(y + 2), so y can be either 3 or -2. Since both of these values are inside the range of values already known, they have no effect on the overall average of the group which is 6 - (- 4) = 10 . (page 284)

The mean of a group of 6 numbers is 15. If the values of one-third of the numbers are increased by 12 each, what is the new mean?

19 Rearrange the formula for an average to get sum of all total values = number of values * average. This is 6*15 = 90. Since there are 6 numbers in the group, one-third of that is 2. If those two numbers are increased by 12 each then the sum is increased by 24. Divide the new sum of 90 + 24 = 114 by 6 to obtain the new average (mean) of 19.

Solve problem 15 on page 336

196 (page 341)

Page 280 Problem 7

1:4

What is the only even prime number

2

4^(1/2)

2 (number 80 page 682)

How many positive odd factors does 768 have? 0 1 2 3 4

2 (page 371)

If a > 1, the ratio of 2a + 6 to a^2 + 2a - 3 is what? 2a a + 3 2 / (a-1) 2a / (3(3-a)) (a-1)/2

2 / (a-1) (If a is greater than 1, why not replace 2 with a and eliminate any answer that doesn't give you 10:5 aka 10/5 aka 2) (pg 250)

What are the possible values of x if 6x^2 - 10 = 11x?

2 and 1/2, and -2/3 (first rearrange the equation into quadratic form: 6x^2 - 11x - 10 = 0. Find all factors of -10: (-10,1), (10,-1), (-5,2), (5,-2). Find all factors of 6: (-6, 1), (6, 1), (-3, 2), (3,-2). Then, find the pairs that will result in an algebraic sum of -11. Note that 3 * -5 = -15 and 2 * 2 = 4, -15 + 4 = -11. So (2x - 5)(3x + 2) are the correct factors. When each factor is set to 0, the result is that x = 2 and 1/2, and -2/3)

A certain platoon is made up of 3 Squads, each of which has 4 soldiers. When the platoon lines up to enter the mess hall, the squads are allowed to be in any order but the soldiers must line up within their squads according to certain rules. The soldiers in the first squad can line up any way they want as they stay with their squad. The squad leader of the second squad insists that the soldiers in that squad be in one particular order. The third squad leader wants the soldiers in that squad to line up in order from either tallest to shortest or shortest to tallest. How many different ways can the platoon line up?

288 (Page 298)

0.029 * 10^3

29

2^3 * 2^4

2^7

2^8 / 2^2

2^8-2 = 2^6

Factor the expression 2a + 6ac

2a(1 + 3c)

(3x^2 + 5x + 7) - (x^2 + 12)

2x^2 + 5x -5

If x^2-16 / x^2+6x+8 = y and x > -2, which of the following is an expression for x in terms of y? 1+y / 2-y 2y+4 / 1-y 4y-4 / y+1 2y-4 / 2+y y+4 / y+1

2y+4 / 1-y (Try plugging in 4 for x. This will eliminate A, C, and D. B and E are still options because both will yield results of 4 when making the substitution. Now try making x = 0. )

Solve the example problem on page 321

2π

10√21 / 5√3

2√7 (number 82 page 682)

A prince raises by 10% one year and by 20% the next? What's the combined percent increase?

32% increase

The four finalists in a spelling contest win commemorative plaques. If there are 7 entrants the spelling contest, how many possible groups of finalists are there?

35 ( 7! / 4!(7-4)! -> 7! / 4!3! -> 7*6*5*4! / 4!(3!) -> Cancel out the 4!: 7*6*5 / 3*2*1 -> cancel out the 6 and the 3 and the 2 -> 7*5 / 1 = 35)

How many ways are there to fill a candelabra with 4 candle holders from a box of 6 distinctly colored candles?

360 Here, order matters since the candles are distinctly colored and being placed into slots on the candelabras . There are 6 possible for the first slot, 5 for the second, 4 for the third and 3 for the fourth. To find the number of possibilities , multiply each of the possibilities for the four slots together(6 * 5 * 4 * 3) to get 360.

The sum of the measures of the angles around a point is what?

360-degrees

The total degree measure of a circle is what

360-degrees

The three exterior angles of any triangle add up to what

360°

What is the sum of the four interior angles of a quadrilateral

360°

Each side of an equilateral triangle is 12. What is the area of the triangle

36√3 (page 339)

Rafael has three more bus tokens than Taz. Chan has twice as many as Rafael. If Chan had one more token, he would now have three times as many as Taz. How many tokens does the group have?

37 (R = T + 3; C = 2R; C = 3t - 1. Substitute 2R for C in the third equation. Double the first equation to get 2R = 2T + 6. This gives two equations for 2R, so set them equal to each other and solve. Page 261)

Translate the word problem into a math problem: How much larger than 30 is 38

38 - 30 = 8

The 7th and 8th-grade students in a particular school were given the same mathematics test. A total of 110 7th graders and 100 graders completed this test. The overall average score for the two grades was 37.4. If the 7th graders averaged 36.4, what was the average score of the 8th grade students?

38.5 Use the balance method for averages. Since the overall average was 37.4, the 7th graders average 36.4 was 1.0 below the school average. Those students cumulatively 1.0 * 110 = 110 points below the overall average, so the 8th graders had to be cumulatively 110 points above average. Since there were 100 of them, they had to average 110/100 = 1.1 above 37.4 which is 38.5 (page 284)

(3^4)^5

3^20

(3x + 5)(x - 1)

3x^2 + 2x -5

What is the length of the hypotenuse of an isosceles right triangle with legs of length 4?

4√2 In an isosceles right triangle, the ratio of a leg to the hypotenuse is x:x:x√2. Since the length of a leg is 4, the length of the hypotenuse must be 4√2

How many sides does a pentagon have?

5

Which number(s)represent the units:315.246

5

|-5| =

5

What is the distance from (2,3) to (-1,-1)

5 (page 674)

If a straight line has points A, B, C, and D on it. AC = 9, BD = 11, and AD = 15. What is the length of BC?

5 Since AC = 9 and AD = 15, CD = AD - AC = 15 - 9 = 6. Now, Since BD = 11 and CD = 6, BC = BD - CD = 11-6 = 5

If ! and # are digits and (!!)(##) = 60#, what is the value of #?

5 (Each symbol must be a digit between 0-9. the product of the multiplication problem equals a value of 60?, which something between 600-609. both digits are the same so you will need to multiply 2 of these number 00,11,22,33,44,55,66,77,88, or 99. Try multiplying pairs until you reach something between 600 - 609. Only 11*55 work)

If the coordinates of point A are (3,4) and the coordinated of point B are (6,8) , what is the distance between points A and B

5 (page 234)

(1/3) / (4/5) =

5/12

If a fair coin is tossed 4 times, what's the probability that at least 3 of the 4 tosses will come up heads?

5/16 (#74 example 2 page 680)

Solve the example under 51 on page 673

50 (page 673)

What is the positive difference between the fifth and fourth terms in the sequence 0, 4, 18, . . . whose nth term is n^2(n-1)?

52 (#86 page 683)

Solve problem 4 on page 334

52 (page 338)

For a rectangular solid with dimensions 2 by 3 by 4, what is the surface area

52 (there are 2 sides with an area of 2 by 3, which totals to an area of 6; 2 sides that are 3 by 4, which totals to an area of 12; and 2 sides that are 2 by 4, which totals to an area of 8. 6 + 6 + 12 + 12 + 8 + 8 = 52

If $12,000 is invested at 6% simple annual interest, how much interest is earned after 9 months?

540 (12000)(0.06)(9/12) = 540 (solve example 58 page 674)

At a certain professional conference with 130 attendees, 94 of the attendees are doctors, and the rest are dentists. If 48 of the attendees are women and 1/4 of the dentists are women, how many of the attendees are are male doctors?

55 are male doctors (#71 example 1 page 677)

Solve problem 7 on page 335

55° (page 339)

How many different ways are there to choose 3 delegates from 8 possible candidates

56 (#73 page 679)

Solve the example in number 98 page 686

5√2

How many sides does a hexagon have?

6

Which number(s)represent the thousandths place: 315.246

6

Five runners run in a race. The runners who come in first, second, and third place will win gold, silver, and bronze medals, respectively. How many possible outcomes for gold, silver, and bronze metal winners are there.

60 (#72 page 679)

How many different appearing arrangements can be created using all the letters AAABBC?

60 (Page 298)

The hypotenuse of a right triangle is 17 , and one of the legs is 8. What is the Area of the triangle

60 (page 338)

After decreasing by 5%, the population is now 57,000. What was the original population?

60,000 the equation is set up as, 0.95 * (original population) = 57000. Solve from this. (solve example 57 page 674)

If r = 3s, s = 5t, t = 2u, and u does NOT equal 0, what is the value of rst / u^3? 30 60 150 300 600

600 (page 369)

Normal distribution (Commonly referred to as a bell curve): About __% of the area of a normal distribution is within one SD of the mean, and about __% of the area is within two SDs of the mean

68%; 95%

Solve for the example problem on page 322

6π

Solve the example problem # 95 on page 686

6π√2

A menu has 3 choices for soup and 4 for salad options; diners are permitted to select a soup OR salad with their dinners. In this situation, What are the total number of choices available?

7 (3+4 = 7)

The average of {-1, 3, 0, -2, 4, 2, x, y} is 3 and x - y = 2. What is the value of y?

8 The average of the group is 3 and there are 8 values, so the sum of the values is 3*8 = 24. The sum of the known values is -1 + 3 + 0 _ -2 + 4 +2 = 6. so x + y = 24 - 6 = 18. There are now 2 equations: x - y = 2 and x + y = 18. Use substitution to solve (page 284)

Solve the example on page 377

8/12

What is the formula for the area of a circle

A = πr²

The durability of a certain model of light bulb closely approximates a normal distribution on with a mean life of 3,400 hours and a standard deviation of 200 hours. Which of the following is closest to the probability that a randomly selected light bulb of this model will last between 3.200 and 3,800 hours ?

81.8% 3200 hours is 200 hours less than the mean of 3,400, meaning it is 1 standard deviation below the mean. 3,800 hours is 400 hours above the mean, so it is 2 standard above the mean. The area under the curve between 3,200 and 3,800 is the the mean and 1 standard deviation below the mean (34.1%), the area above the mean and I standard deviation above the mean (also 34.1%), and the area between 1 standard deviation above the mean and 2 standard deviations above the mean (13.6%). So , there is a 34.1% + 34.10% + 13.6% =81.8% chance that a randomly light bulb of this model will last between 3, 2 and 3,800 hours .

Michael's average score after 4 tests is 80. If he scores 100 on the fifth test, what's his new average?

84 (#63 Page 675)

In a spelling contest, the winner will receive a gold medal, the second-place finisher will receive a silver medal, the third-place finisher will receive a bronze medal, and the fourth-place finisher will receive a blue ribbon. If there are 7 entrants in the contest, how many different arrangements of award winners are there?

840 The gold medal can be won by any of 7 people. The silver medal can be won the remaining 6 people. The bronze medal can be won by any of the remaining 5 people. And the blue ribbon can be won by any of the remaining 4 people. Thus, the number of possible arrangements is (7)(6) * (5) * (4) = 840 .

Answer page 257 problem 14

85

Page 279 Problem 3

85 The total number of students in the table is 40. There were 100% - 80% = 20% who scored at the 80th percentile or above so that was 0.2 * 40 = 8 students. Counting the number of students starting with the highest grade results in the statement that the minimum score needed to obtain an A was 85.

Solve example 2 on page 333

8π

What is the distance from (2,3) to (-7,3)

9 (number 54 on page 673)

A and B are overlapping sets. If |A| has 7 elements, |B| has 5 and |A∩B| has 3 elements, how many elements are in |A U B|?

9 (page 297)

Math Translation: is

=

Math Translation: What percent

?/100

What is the formula for the area of a triangle

A = 1/2bh

what is the formula for the area of a triangle

A = 1/2bh

What is the formula for the area of a parallelogram

A = bh (base*height)

What is the formula for the area of a rectangle

A = l*w

What is the area formula of a rectangle

A = length x width

What is the formula for the area of a square?

A = side² = s²

Polygon

A closed figure whose sides are straight line segments

Permutation

A complete change; transformation

Implication

A conclusion that can be drawn from something, although it is not explicitly stated

Ligature

A connection between 2 letters; a bond

Liaison

A connection; one who serves to connect

Malediction

A curse

Shortfall

A deficit of something required or expected

dial

A device for seeing the hour of the day; a clock face; rotatable discs or knobs used as a control input

Lexicon

A dictionary

Pandemic

A disease prevalent over a whole country or the world

Animosity

A feeling of ill will or enmity

Regular polygon

A polygon with sides of equal length and interior angles of equal measure

Sector

A portion of a circle's area that is bounded by two radii and an arc

Prime

A prime number is a number that is evenly divisible by only by itsself and 1

Lithogrphy

A printing process that originally involved writing on a flat stone

Patheon

A public building containing tombs or memorials of the illustrious dead of a nation

Rectangle

A quadrilateral with four right angles and opposite sides are equal and parallel

Parallelogram

A quadrilateral with two pairs of parallel sides

Parallelograms

A quadrilateral with two pairs of parallel sides

Two different standardized tests have scores that approximate the normal distribution. Test A has a mean score of 500 and a standard deviation of 100. Test B has a mean score of 20 and a standard deviation of 6. Which is less likely, a score of 690 on Test A or a score of 29 on test B?

A score of 690 on Test A is less likely to occur than is a score of 29 Test (Test A has a mean score of 500, so score of 690 is 190 points above the mean; since the standard deviation is 100, a score of 690 is 190/100 = 1.9 standard deviations above has a mean. Test B has a mean score of 20, so a score of 29 is 9 points above the mean; since the standard deviation is 6, a score of 29 is 9/6 = 1.5 standard deviations above the mean Therefore, a score of 690 on Test A is less likely to occur than is a score of 29 Test)

Line segment

A section of a straight line of a finite length, with two endpoints

Arc (in terms of a circle)

A section of the circumference of a circle

Epigram

A short poem; a pointed statement

fraction

A shorthand for division

Microcosm

A small system that reflects a larger whole

Uniformed solid

A solid that could be cut into congruent cross sections (parallel "slices" of equal size and shape) along a given axis.

criterion

A standard of judgement or criticism

Indolence

A state of being lazy or slothful

Megalith

A very big stone

Epidemic

A widespread occurrence of an infectious disease

w > x > 0 > y > z Quantity A: w + y Quantity B: x + z A) Quantity A is greater B) Quantity B is greater C) The two quantities are equal D) The relationship cannot be determined from the information given

A) Quantity A is greater (Page 345)

The diameter of circle O is d, and the area is a. Quantity A: πd^2 / 2 Quantity B: a A) Quantity A is greater B) Quantity B is greater C) The two quantities are equal D) The relationship cannot be determined from the information given

A) Quantity A is greater (Page 346)

For all shows, a local theater sells tickets at one price for adults and a reduced price for children. On Sunday afternoons, all tickets are sold at a discount of 20% Quantity A: The amount of money collected for 120 adults and 100 children on a Saturday Quantity B: The amount of money collected for 150 adults and 120 children on a Sunday afternoon. A) Quantity A is greater B) Quantity B is greater C) The two quantities are equal D) The relationship cannot be determined from the information given

A) Quantity A is greater (page 350)

Quantity A: (x + 2)(x - 2) Quantity B: (-5(x^2 - 25)(x-1)) / ((x+5)(x^2-6x+5)) A) Quantity A is greater B) Quantity B is greater C) The two quantities are equal D) The relationship cannot be determined from the information given

A) Quantity A is greater (page 350)

What is the formula for the area of a circle?

A=πr^2

DELE

To erase

Solve problem 5 on page 349

C) The two quantities are equal (page 349)

Malcontents

a person who is dissatisfied and rebellious

melancholy

Depression; a feeling of pensive sadness, typically with no obvious cause.

Fatuity

foolishness; stupidity

What is the Pythagorean Theorem formula? What kind of triangle do you use it on?

A^2 + B^2 = C^2 Right triangles

Durable

Able to resist decay

Infiltrate

Access to somewhere surreptitiously and gradually, especially to acquire secret information

TRANS

Across, beyond

Ablution

Act of cleansing

How do you determine the perimeter of a rectangle

Add all of the sides together

What are the 4 basic arithmetic operations?

Addition, Subtraction, Multiplication, and Division

CONTA/CONTRO/COUNTER

Against

OMNI

All

PAN/PANT

All, everyone

PEN/PENE

Almost

SOL

Alone & To loosen, to free & Sun

Equivocal

Ambiguous; open to more than one interpretation

Polynomial

An algebraic expression with more than one term

Monomial

An algebraic expression with only one term

Binomial

An algebraic expression with two terms

Central angle

An angle formed by two radii.

Obtuse angle

An angle measuring between 90-degrees and 180-degrees

Semicircle

An arc that is exactly half the circumference of its circle

Cosmonaut

An astronaut; an explorer of outer space

Injunction

An authoritative warning or order.

Maxim

An expression of general truth or principle

Brevet

An honorary promotion with no additional pay

Cautery

An instrument used for branding; branding

Zero

An integer that is neither positive nor negative but is even

Preamble

An introductory statement (Originally: to walk in front)

Monomania

An obsession with a single subject

Paradox

An opinion or statement contrary to accepted opinion

Archaic

Ancient, old-fashioned

APO-

Away

Four-sided figure

Any figure with four sides has 360 degrees

Credo

Any formula of belief

Math Translation: What

Any variable

SE

Apart, Away

Pathos

Appeal to emotion. a way of convincing an audience of an argument by creating an emotional response to an impassioned plea or a convincing story.

Decorum

Appropriateness of behavior or conduct; propriety

What is the formula to determine arc length

Arclength = (n/360)(circumference) (n = central angle)

What is the formula for the area of a rectangle

Area = Length x Width

What is the equation of the area of a square?

Area = the length of any time times itself (A = s²)

What is the formula for the area of a sector?

Area of sector = (n/360)(area of circle) = (n/360)(πr^2)

PERI

Around

Why is 6 divisible by 3

Because the result is 2, an integer

ESCE

Becoming

FORE

Before

Antebellum

Before the war (especially the American Civil War)

PRE

Before, in front

POST

Behind, after

SUB/SUP

Below, under

SIN/SINU

Bend, fold, curve

MAG/MAJ/MAX

Big, great

NAT/NAS/NAI/GNA

Birth

GEN

Birth, creation, race, kind

Flagrant

Blatant, scandalous

SANG

Blood

CORP/CORS

Body

OSS/OSTE

Bone

RAMI

Branch

Fracture

Breakage

SPIR

Breath

ONER

Burden

HAP

By chance

What is the formula for the circumference of a circle?

C = 2πr or C = πd

What is the formula for a combination problem

C = n! / k!(n-k)! n = the number in the larger group k = the number you're choosing

What are the formulas for the circumference of a circle

C = πd and C = 2πr

What is the formula for the circumference of a circle

C = πd or C = 2πr (can be rearranged to be π = Cd)

x = 2y; y is a positive integer. Quantity A: 4^y Quantity B: 1 / 2^-x A) Quantity A is greater B) Quantity B is greater C) The two quantities are equal D) The relationship cannot be determined from the information given

C) The two quantities are equal (page 349)

A car begins at point A traveling 30 MPH. The car decreases its speed by 5 MPH every 10 minutes until the car comes to a complete stop. Quantity A: The total number of miles traveled between point A and the final stopping point Quantity B: The average speed of the car in miles per hour between point A and the final stopping point. A) Quantity A is greater B) Quantity B is greater C) The two quantities are equal D) The relationship cannot be determined from the information given

C) The two quantities are equal (page 350)

Phlegmatic

Calm disposition

Susceptible

Capable or receiving, admitting, undergoing, or being affected by something

The x-value on a histogram shows what?

Category definitions, values, or ranges (depending on what is graphed)

Acrimonious

Caustic, stinging, or bitter in nature

CENTR

Center

FORT

Chance or strength

Capricious

Changing one's mind quickly and often

Brutalist

Characterized by a deliberate plainness, crudity, or violence of imagery, especially in style of architecture or art

ARCH/ARCHI/ARCHY

Chief, principal, ruler

PED

Child, education

The distance around a circle is a ________

Circumference

URB

City

Maladroit

Clumsy

CHROM

Color

Incorporation

Combining into a single body

Two angles are _____ to each other if their measures sum to 90-degrees.

Complementary

PER

Completely

abstract

Conceived apart from concrete realities, specific objects, or actual instances

Interstate

Connecting or jointly involving states

holistic

Considering something as a unified whole

Promiscuous

Consisting of diverse and unrelated parts or individuals; indiscriminate

Cogent

Convincing and well reasoned

RUD

Crude

In triangle XYZ not given, the measure of angle X equals the measure of angle Y. Quantity A: The degree measure of angle Z Quantity B: The degree measure of angle X plus the degree measure of angle Y A) Quantity A is greater B) Quantity B is greater C) The two quantities are equal D) The relationship cannot be determined from the information given

D) The relationship cannot be determined from the information given (page 349)

q, r, and s are positive numbers; qrs > 12. Quantity A: qr / 5 Quantity B: 3 / s A) Quantity A is greater B) Quantity B is greater C) The two quantities are equal D) The relationship cannot be determined from the information given

D) The relationship cannot be determined from the information given (page 349)

An apartment building has apartments numbered 2-85, consecutively. Quantity A: The probability that the apartment number of a randomly selected tenant contains a 4. Quantity B: 3/14 A) Quantity A is greater B) Quantity B is greater C) The two quantities are equal D) The relationship cannot be determined from the information given

D) The relationship cannot be determined from the information given (page 350)

Set A consists of 35 consecutive integers Quantity A: The probability of selecting an even number less than the median from set A Quantity B: The probability of selecting an odd number greater than the median from set A A) Quantity A is greater B) Quantity B is greater C) The two quantities are equal D) The relationship cannot be determined from the information given

D) The relationship cannot be determined from the information given (page 350)

JOUR

Day

MOR/MORT

Death

Chicanery

Deception by means of craft or guile

Definitive

Decisive, unconditional, final

Dexterity

Deftness; adroitness

Nihilism

Denial of all moral beliefs; denial that existence has any meaning

Precarious

Dependent on circumstances beyond one's control; uncertain; unstable; insecure

DUB

Doubt

Moribund

Dying, Decaying

What are the angles of an equilateral triangle

Each angle of this triangle is 60-degrees

abet

Encourage or assist someone to do something wrong

SAT

Enough

PAR

Equal

Probability

Equal to the outcome you're looking for divided y the total outcomes.

EQU

Equal, even

Raising an even number to any positive integer exponent gives an ______ number

Even

Reduce 24/36

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36 GCF = 12; divide numerator and denominator by 12 and you get 2/3

Prime factors

Factors of a number that are also prime

PSEUD/PSEUDO

False

DYS

Faulty, abnormal

Omnipresent

Everywhere at one time

Congenital

Existing or as such from birth

Antecedent

Existing, being, or going before; A precursor.

Condolence

Expression of sympathy with one who is suffering

Antipathy

Extreme dislike

Painstaking

Extremely careful and correct, and involving a lot of effort

What is this an example of: Rewriting xy + xz to x(y +z)

Factoring

PYR

Fire

PRI/PRIM

First

PROT/PROTO

First

F.O.I.L.

First, Outer, Inner, Last

CARN

Flesh

GREG

Flock

Effluence

Flowing out of (light, electricity, etc)

Accordance

Following or obeying a rule, law, wish

FATU

Foolish

Fatuous

Foolish; stupid

PED/POD

Foot

abstinence

forbearance from any indulgence of appetite

ICON

Image, idol

Inevitable

Impossible to be avoided; certain to happen

Indelible

Impossible to erase; lasting

Irrefutable

Impossible to refute or disprove

Jocular

In a joking manner; funner

DI/DIA

In two, through, across

IN/IM (often the m is dropped and the first letter to which i is prefixed is doubled)

In, into or not, without

infallible

Incapable of being wrong or being decieved

Amorous

Inclined to love, esp. sexual love

consecutive

Integers listed in order of increasing value without any of the integers in between missing

Ardor

Intense and passionate feeling

Quartile: The difference between the values of the third and first quartile values, Q3 - Q1, is called the _________ _________. Because outliers fall to the bottom and top quartiles, they do not affect The ______ _______.

Interquartile range

Binocular

Involving two eyes

If you had a triangle with sides represented by, x: x√3: 2x what can you determine

It is a right triangle (30°/60°/90°) with the 2x representing the hypotenuse and the x representing the side opposite the interior 30° angle (page 315)

If you had a triangle with sides represented by, x:x:x√2 what can you determine

It is an isosceles right triangle (45°, 45°, 90°) with the x√2 representing the hypotenuse (page 315)

How do you determine the surface area of a rectangular box

It is equal to the sum of the areas of all its sides

What is an exterior angle of a triangle equal to?

It is equal to the sum of the remote interior angles (page 312)

What does the ! symbol stand for

It means factorial (ex. 5! = 5*4*3*2*1 = 120)

Rissotto

Italian food of rice cooked with other ingredients such as meat and vegetables

Equanimity

Mental or emotional stability, especially under tension

Acumen

Mental sharpness; quickness of wit

Confluence

Merging into one

Jocund

Merry; cheerful

MEDI

Middle

MISC

Mixed

PEC

Money

Exponents: What does MADSPM stand for

Multiply- add, divide-subtract, power-multiply

Is sets have no common elements, they are referred to as what

Mutually exclusive

NOM/NYM/NOUN/NOWN

Name

Is 0 positive or negative

Neither positive nor negative

NOV/NEO/NOU

New

PARA

Next to, beside

NOCT/NOX

Night

NON

Not

Scant

Not enough or barely enough

A/AN

Not, without

NULL

Nothing

Dour

sullen, gloomy

Influx

The act of flowing in; inflow

Intercession

The action of intervening on behalf of another

Remainder

The amount left over when one integer cannot be divided evenly by another

Vertical angle

The angles across from each other that are formed by the intersect of two lines. The degree measures of vertical angles are equal

Gastronomy

The art or science of good eating

What is the third, unequal side of an isosceles triangle called?

The base

denominator

The bottom number in a fraction

Mode

The number that shows up the most

If the lengths of two sides of a triangle are unequal, where does the greater angle lie?

The greater angle lies opposite the longer side and vice versa

Elements (or members)

The items in a set

Greatest common factor

The largest factor that two or more numbers have in common.

Third side rule triangle

The length of the third side of this type of triangle is always less than the sum of the lengths of the other 2 sides, but greater than their difference

In a normal distribution, the further away a value is to the mean of the set, the greater or less likely the probability occurs

The less likely the probability occurs

What 2 parameters are needed to define any normal distribution

The mean and Standard deviation

Normal distribution (Commonly referred to as a bell curve): The more tightly the values are clustered around the mean, the wider or more narrow the curve

The more narrow

Median

The number in the middle

Math Vocab: vertex

The point at which two lines or line segments intersect to form an angle

origin

The point where the x- and y-axes intersect (0,0)

If it is possible for something to happen, but not necessary, what is the probibility

The probability lies between 0 and 1

Reticence

The quality of being reserved

least common multiple

The smallest multiple (other than zero) that two or more numbers have in common.

Slope

The steepness of a line on a graph

Extrapolate

To estimate (unknown facts or values) from known data

Atrophy

The wasting away of body tissue

CHRON

Time

What is the time formula (in relation to quantity)?

Time = quantity/rate

Concede

To acknowledge as true, just, or proper; admit

ROG

To ask

Deframe

To attack the good name or reputation of

Palpitate

To beat quickly, as the heart; to throb

Adjure

To beg or command

CRED

To believe, to trust

FLECT/FLEX

To bend. to turn

FERV

To boil, to bubble

FRA/FRAC/FRAG/FRING

To break

FER

To bring, to carry, to bear

ARD-

To burn

CAUS/CAUT

To burn

FLAGR/FLAM

To burn

Cauterize

To burn or deaden

PORT

To carry

MUT

To change

Transmute

To change from one form into another

Inflect

To change or vary pitch of

Bewilder

To confuse completely (that is, to make one mentally wander)

Dupe

To deceive; a person who is easily deceived

Decelerate

To decrease in speed

Chastise

To disipline, esp. by corporal punishment

ACT/AG

To do, to drive, to force, to lead

TRACT

To drag, to pull, to draw

POT

To drink

Disperse

To drive or send off in various directions

VOR

To eat

Perjury

Willful lying while on oath

Credulity

Willingness to believe or trust too readily

CO/COL/COM/CON

With, together

Incessant

Without stop

LOC/LOG/LOQU

Word, speech, thought

DIGN

Worth

ANNUI/ENNI

Year

Is 0 an integer

Yes

If you multiply or divide an inequality by a negative number, what must you do?

You must reverse the direction of the inequality sign

JUV

Young

Line

a 180-degree angle

Inclusion-exclusion principle

a basic counting principle for sets

Neophytes

a beginner or novice

incarnation

a being invested with a bodily form

Diatribe

a bitter and abusive speech or piece of writing

Corps

a body (an organized group) of troops

onus

a burden; a responsibility

Fundamentals

a central or primary rule or principle on which something is based

Aqueduct

a channel for transporting water

Precipice

a cliff with a vertical face

Precept

a commandment or direction given as a rule of conduct

Dialogue

a conversation between two or more persons

Osteopathy

a medical system based on the belief that many illnesses can be traced to issues in the skeletal system

megalomania

a mental condition involving delusions of greatness; an obsession with doing great things

Emissary

a messenger or agent sent to represent the interests of another

chrome

a metallic element ( chromium) used to make vivid colors or something plated with chromium

Scorched-earth

a military policy in which everything in an area are destroyed so that enemy cannot use them

Misdemeanor

a minor wrongdoing

Paragon

a model of excellence or perfection

Fugue

a musical composition in which subsequent parts imitate or pursue the first part; a psychological state in which one flies from one's own identity

Dulcimer

a musical instrument

Monochord

a musical instrument with a single string

Back-alley

a narrow passage behind or between buildings

Neologism

a newly coined word, phrase, or expression

Multiple

a number multiplied by an integer other than 0

Aggregate

a number of things considered as a collective whole

factor

a number that is multiplied by another number to find a product (ex. 1,2,3,4,6, and 12 are factors of 12 and 1, 24, 2, 12, 3 and 8 are factors of 24)

Square root

a number that when multiplied by itself equals a given number

Fragment

a part broken off

Inmate

a person confined to an institution such as a prison or hospital

Culprit

a person guilty of an offense

ignoramus

a person lacking knowledge, uninformed

Miscreant

a person who behaves badly or in a way that breaks the law.

Detractors

a person who criticizes something or someone, often unfairly.

Misanthrope

a person who dislikes others

pedantry

excessive concern with minor details and rules.

Ostentation

excessive showiness

Hyperactive

excessively active

Florid

excessively decorated or embellished

Draconian

excessively harsh and severe (laws or their application)

Impunity

exemption from punishment or freedom from the injurious consequences of an action

Nominal

existing in name only; negligible

Connoisseurs

experts with good taste/judgment

Megaton

explosive power equal to 1,000 tons of TNT

Articulate

express clearly

Deride

express contempt for; ridicule

Laudatory

expressing praise

Loathing

extreme dislike

Torpor

extreme mental and physical sluggishness

What is the formula for the quadratic function

f(x) = ax^2 + bx +c

FI/FID

faith, trust

Fidelity

faithfulness, loyalty

CULP

fault, blame

dystrophy

faulty or inadequate nutrition or development

PHOB

fear

PAS/PAT/PATH

feeling, suffering, disease

PAU/PO/POV/PU

few, little, poor

Fable

fictional tale esp. legendary

Allegory

figurative treatment of one subject under the guise of another

Discharged

fired, released

Segmented bar graphs: Values for the _____ category and the _____ can be read directly on the stacked bar charts.

first category; total (pg 275)

Quartiles: The median of the lower half of a set of data represents the _______ quartile, which is written as Q1. The median of the upper half is the ______ quartile, which is written as Q3. The _______ of the entire set is Q2 or M.

first; third; median

QUIN/QUINT

five

Ardor

flame; passion

Egocentric

focused on oneself

Hemistich

half a line of poetry

Fortuitous

happening by luck

Biennial

happening every two years

Intractable

hard to control or deal with; stubborn

Obdurate

hardened in feeling; resistant to persuasion

inimical

harmful or unfavorable to something (received an inimical response rather than the anticipated support)

innocuous

harmless

Concentric

having a common center, as in circles or spheres

Macrocephalous

having a large head

Oblique

having a slanting or sloping direction

Judicious

having good judgement

Potent

having great power, influence, or effect

Monochromatic

having only one color

amiable

having or showing agreeable personal qualities

Erudite

having or showing knowledge that is gained by studying

Chromatic

having to do with color

CAP/CAPIT/CIPIT

head, headlong

volatile

highly unstable; explosive

Mercenary

hired soldier

Incumbent

holding an indicated position

Candor

honesty, frankness

Inimical

hostile, unfriendly

ignominious

humiliating, degrading; deserving of shame (the prison guards degraded themselves with their inhumane, ignominious treatment of the prisoners)

Levity

humor, frivolity, gaiety

CENT

hundred, hundredth

In the quadratic formula, f(x) = ax^2 + bx +c, a determines which direction the parabola opens. What direction does the parabola open if a is positive? negative?

if a is positive, the parabola opens upwards. If a is negative, the parabola opens downward

Dyspepsia

impaired digestion

Irrefragable

impossible to refute; indisputable.

Eugenics

improvement of qualities of race by control of inherited characteristics

Cosmetic

improving the appearance (making it look beter)

Capricious

impulsive, unpredictable, erratic

On the skids

in a bad state; failing

Benighted

in a state of intellectual or moral ignorance, typically owing to a lack of opportunity

Inimitably

in an impossible to reproduce or duplicate manner

Percent

in every 100

PRO

in front, before, much, for

Bona fide

in good faith; without fraud

EM/EN

in, into

Proclivity

inclination, bias

Dilatory

inclined to delay or procrastinate

Deficient

incomplete; defective

Autonomy

independence or freedom

Events are ______ if one event does not affect the other

independent

If the elements in a set are limitless (ex. " all positive numbers that are evenly divisible by 3") that set is _________

infinite

infinitesimal

infinitely or very small

Enamored

inflamed with love; charmed; captivated

Noxious

injurious or harmful to health or morals

Intravenous

inside the veins

INTRA

inside, within

Magnate

powerful or influential person

Pragmatic

practical

Know-how

practical knowledge or skill; expertise

Pragmatic

practical, as opposed to idealistic

extol

praise highly; glorify (The health benefits of exercise are widely extolled.)

Antedate

precede in time; come before (something) in date

Banal

predictable; cliched; boring

A prolific

present in large numbers or quantities; plentiful

Hypocritical

pretending to have beliefs one does not

Stymie

prevent or hinder the progress of something

What formula is used to calculate probability

probability = number of desired outcomes / number of possible outcomes

Cryptography

procedures of making and using secret writing

Carcinogenic

producing cancer

Prolific

producing young or fruit especially freely; causing abundant growth, generation, or reproduction (Since [David] Mamet is a prolific writer of Hollywood screenplays, there are today more people who know his work than know that they know it.)

When choices or events occur one after the other and the choices or events are independent of one another, the total number of possibilities is the ______ of the number of options for each

product

erudition

profound scholarly knowledge

salubrious

promoting health or well-being (fresh air and exercise are always salubrious)

Opprobrium

public disgrace

lampoon

publicly criticize (someone or something) by using ridicule, irony, or sarcasm (this classic musical is a lampoon of the movie business at the time when sound was introduced)

Hyperbole

purposeful exaggeration for effect

Burs

purse, money

QUIE/QUIT

quiet, rest

refulgent

radiant; shinning

Impetuous

rash, impulsive

Mutiny

rebellion against authority

Convalescent

recovering from illness

Hone

refine or perfect something over a period of time

Repudiate

refuse to accept or be associated with.

Repudiated

refuse to accept or be associated with; deny the truth or validity of.

Anthropocentric

regarding humanity as the central fact of the universe

Conjugal

related to marriage

Nautical

related to sailing, sailors, or ships

Cosmic

relating to the universe

Parole

release of a prisoner temporarily

Egregious

remarkably bad; standing out from the croud

Prodigious

remarkably or impressively great in extent, size, or degree

Reminiscent

reminding or suggestive of

Pungent

sharp and irritating to the senses

Effulgent

shining forth

Galvanize

shock or excite (someone) into taking action

ephemeral

short-lived

Ingenuous

showing innocence or childlike simplicity

Auspicious

showing or suggesting that future success is likely

Taciturn

silent; not talkative

Reticent

silent; reserved

Artless

simple, honest, and innocent (An artless person could never make a living as a con artist.)

Sedentary

sitting; not moving around

DORM

sleep

Noctambulant

sleepwalking

MIN

small or to project, to hang over

Minutiae

small or trivial details

Fume

smoke; scented vapor; to emit smoke or vapors

Infuse

soak in liquid to extract the flavor or healing properties

Seminal

someone or something that is influential

Proponent

someone who is in favor of something or who advocates for a cause

Pedant

someone who shows off learning

Dilettante

someone with an amateurish and superficial interest in a topic

Anachronism

something that is out-of-date or belonging to the wrong time

Acid

something that is sharp, sour, or ill-natured

Emollient

something that soothes or softens

nonpareil

something with no equal

What is the speed formula

speed = distance/time

What are Segmented bar graphs also called

stacked bar graphs

Plead guilty to

state that one is guilty of a crime before a court of law

Sojourning

staying temporarily

Helm

steer a boat or ship

RECT

straight, right

Forthright

straightforward, outspoken, decisive

VAIL/VAL

strength, use, worth

Ambition

strong desire to achieve (from "going around" for votes)

forte

strong point; something a person does well

Stalwart

strong, loyal, and reliable (An example of stalwart is a description for a loyal supporter of a cause)

Obdurate

stubborn, resistant to persuasion

refractory

stubborn, unmanageable, rebellious

Obstinate

stubborn; unyielding

Obstinate

stubbornly adhering to an idea, inflexible

Obstinate

stubbornly refusing to change one's opinion or chosen course of action, despite attempts to persuade one to do so; unyielding

grandiloquence

style of talking that has a lot of fluff but may lack substance. It's too grand to be eloquent, so grandiloquence is usually annoying. (a style or manner of speaking that uses complicated language in order to attract admiration and attention, especially in order to make someone or something seem important)

Commensurate

suitable in measure, proportionate

If xy + (7+3x / 4) - 2y = 1, what is the value of x in terms of y?

x = 8y-3 / 4y+3 (first, get rid of the fraction by multiplying everything by 4: 4(xy) + 4(7+3x / 4) - 4(2y) = 4(1). The equation becomes 4xy + 7 + 3x - 8y = 4. Simplify to 4xy + 3x = 8y - 3. Factor out x and combine terms: x(4y + 3) = 8y - 3. Finally, divide both sides by (4y + 3), so x = 8y-3 / 4y+3)

17 is what percent of 85?

x=20 (set it up like this and then cross multiply: 17/85 = x/100)

x^a * x^b

x^a+b

(x^a) / (x^b)

x^a-b

(x^a)^b

x^ab

What is the unfactored form of (x+y)²

x²+2xy+y²

What is the unfactored form of (x-y)²

x²-2xy+y²

In the formula: z = (xy) / (a +yb) solve for y in terms of x, z, a, and b

y = (az) / (x - bz)

What is the formula for π

π = Circumference/Diameter= C/d (can be rearranged to be C=πd)

What is the hypotenuse of a right triangle with leg lengths of 9 and 10?

√181

x^(1/2)

√x

How is the intersection of 2 sets written?

∩