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?
∩
