Math

surface area of a cube

6s^2

a historical society has 8 tours daily 5 days a week, with 32 people on each tour. estimate the number of people who can be on the tour in 50 weeks. a. 25,000 b. 50,000 c. 75,000 d. 100,000

c. 75,000

change a percent to a fraction

remove the percent sign and write the value as the numerator with a denominator of 100 simplify the fraction

multiplication

replaces the repeated addition of the same number with a single, more concise operation

percent or percentage

represents a fraction of some quantity

multiplying or dividing both sides of the inequality by a negative number ____ the sign of the inequality

reverses

what does each digit represent

rightmost digit- ones place tens place hundreds place thousands place so on

remainder symbol

R

jane has 4 pennies, 3 dimes and 7 dollars. how many cents does she have a. 347 b. 437 c. 734 d. 743

c. 734

change 0.38 to a fraction. simplify completely a. 3/10 b. 9/25 c. 19/50 d. 2/5

c. 19/50

identify 9:27 PM in military time a. 0927 b. 1927 c. 2127 d. 2427

c. 2127

evaluate the expression 8 x (3+6) / 3-2 +5 a. 13 b. 17 c. 27 d. 77

c. 27

multiply 4 x 5/6 a. 5/24 b. 2 3/4 c. 3 1/3 d. 4 5/6

c. 3 1/3

multiply 6/7 x 7/10 a. 1/17 b. 1/3 c. 3/5 d. 13/17

c. 3/5

solve the equation for the unknown: 4x + 3 = 8 a. -2 b. -5/4 c. 5/4 d. 2

c. 5/4

multiply 2/3 x 5/6 a. 1/9 b. 5/18 c. 5/9 d. 7/18

c. 5/9

multiply 3xy2(2x2y) a. 6x2y2 b. 6x3y2 c. 6x3y3 d. 6x2y3

c. 6x3y3

division property of inequality (when dividing by a negative number)

divide both sides of the inequality by the same number

division property of inequality (when dividing by a positive number)

divide both sides of the inequality by the same number

to convert a quantity's rate of change to a percent

divide it by the quantity at the initial time and multiply by 100%.

change a fraction to a decimal

divide the denominator by the numerator. add zeros after the decimal point if needed complete the process when there is no remainder or the decimal is repeating

how many pounds equals 1 kilogram

2.2

how many centimeters are in 1 inch

2.54

2/3 to a percent

2/3 .6(repeating) .6(repeating) x 100 66.6(repeating)%

a trapezoid has a height of 3 centimeters and bases of 8 centimeters and 10 centimeters. find the area in square centimeters a. 18 b. 27 c. 52 d. 55

b. 27

in 2016 a town had 17.4 inches of snowfall. in 2017 it had 45.2 inches of snowfall. what is the difference in inches? a. 27.2 b. 27.8 c. 28.2 d. 28.8

b. 27.8

how many kilometers equals 1 mile

1.61

convert 1/5 to a decimal

1/5 0.2

write 2 1/8 as a percent

1/8= .125 .125 x 100 12.5 add the whole number 212.5%

most common base

10

how many inches are in 1 foot

12

negative exponent rule

a(-m) = 1/a(m)

product rule (same base)

a(m) x a(n) = a (m+n)

product rule (different base)

a(m) x b(m) = (a x b)m

dividing a fraction by a fraction

leave the first fraction alone find the reciprocal of the second fraction multiply first fraction by reciprocal of second fraction rewrite fraction as a mixed number and reduce completely

(-x) + (-y) =

-(x + y)

convert 2 gallons to milliliters a. 527 b. 758 c. 5,270 d. 7,580

7,580

steps in solving two-step linear equations

use addition and subtraction properties of an equation to move the variable to one side of the equation and all number terms to the other side of the equation use multiplication and division properties of an equation to remove the value in front of the variable

number

way to quantify a set of entities that share some characteristic

how many feet are in 1 mile

5,280

convert 8/9 to a decimal

8/9 0.8(repeating)

monomial

polynomial of one term

square of a binomial

(a+b)2 = a2 +2ab + b2

-x-y =

-(x + y)

x-y =

-(y-x)

change the decimal 2.4 to a fraction

.4/1 4/10 2 2/5

change the fraction 7/8 to a percent

7/8 0.875 0.875 x 100 87.5%

ax + b = c mean?

a = non-zero constant b and c are constants

divide 2/3 / 3/5 a. 2/15 b. 2/5 c. 1 1/15 d. 1 1/9

d. 1 1/9

area of a parallelogram

base times height

order of numbers in a division expression is

important

how many quarts equals 1 liter

1.06

improper fraction can be changed to a

mixed number

what is the solution to a system of equations by graphing

point of intersection

if they have different signs, their product or quotient is

negative

solve the system of equations by graphing 3x + y = -1 2x - y = -4

(-1, 2)

square of a binomial (-)

(a-b)2 = a2 -2ab +b2

integers

....-3, -2, -1, 0, 1, 2, 3.... whole numbers plus all negative whole numbers

change the decimal 0.37 into a fraction

.37/1 37/100 cannot be reduced so 37/100 is final answer

natural numbers

1, 2, 3, 4, 5.... counting numbers

how many grams equals 1 ounce

28.3

volume for rectangular prism

V=lwh

square of a number

number raised to the power of 2

the area of a circle is 60 square centimeters. find the circumference of the circle in centimeters. round to the nearest tenth. use 3.14 for pi a. 4.4 b. 13.8 c. 19.1 d. 27.6

d. 27.6

convert 12 inches to centimeters a. 4.72 b. 14.54 c. 28.36 d. 30.48

d. 30.48

percent means per

hundred

examples of units

inches and centimeters

to convert a quantity's rate of change to a ratio

just skip the multiplication step

area of a rectangle

length times width

what are the ways of solving equations by elimination

locating that variables with opposite coefficients and adding the equations multiplying one equation to obtain opposite coefficients for the variables

to decide which fraction is largest

look at the numerator must all have a common denominator

find the mean and the median for the data set 10, 20, 40, 20, 30, 50, 40, 60, 30, 10, 40, 20, 50, 70 and 80

mean: 28, median is 40

when multiplying by a whole number, change the whole number to a fraction with a denominator of 1, rewrite the final answer as a

mixed number

find the mode and range for the data set 10, 20, 40, 20, 30, 50, 40, 60, 30, 10, 40, 20, 50, 70 and 80

mode: 20 and 40 range: 70

number line

model that illustrates the relationships among numbers

top number of a fraction is called the

numerator

improper fraction

numerator is bigger than the denominator

proper fraction

numerator is smaller than the denominator

how many solutions are there in a linear equation

one

AS (addition and subtraction)

perform all addition and subtraction operations, going through the expression from left to right

the circumference of a circle is 45 inches. find the area of the circle in square inches. round to the nearest tenth. use 3.14 for pi a. 51.8 b. 65.1 c. 162.8 d. 204.5

c. 162.8

write 72% as a fraction a. 27/50 b. 7/10 c. 18/25 d. 3/4

c. 18/25

perform the operation (3x2y + 4xy -5xy2) -(x2y - 3xy -2xy2) a. 2x(2)y -7xy +3xy2 b. 2x(2)y + 7xy + 3xy2 c. 2x(2)y + 7xy -3xy2 d. 2x(2)y -7xy -3xy2

c. 2x(2)y + 7xy - 3xy2

multiply 1/2 x 3/4 a. 1/4 b. 1/2 c. 3/8 d. 2/3

c. 3/8

perform the operation (4y3 + 5y2 - 6y) + (7y2 + 2y -5) a. 4y3 + 12y2 + 4y -5 b. 4y3 + 10y2 -4y -5 c. 4y3 + 12y2 -4y -5 d. 4y3 + 10y2 + 4y -5

c. 4y3 + 12y2 -4y -5

place the following numbers in order from greatest to least: 5, -12, 0 a. 0, 5, -12 b. -12, 5, 0 c. 5, 0, -12 d. -12, 0, 5

c. 5, 0, -12

convert 7.5 liters to milliliters a. 75 b. 750 c. 7,500 d. 75,000

c. 7,500

find the area in square inches of a circle with a radius of 15 inches. use 3.14 for pi a. 94.2 b. 176.63 c. 706.5 d. 828.96

c. 706.5

most common use for estimation is completing calculations without a

calculator or other tool

add polynomials

combine like terms and write the solution from the term with the highest exponent to the term with the lowest exponent

solve the system of equations x= y +6 4x + 5y = 60 a. (10,12) b. (6, 12) c. (6, 4) d. (10, 4)

d. (10, 4)

apply the polynomial identity to rewrite 8x3 -1 a. (2x +1)(4x2 + 2x -1) b. (2x-1) (4x2-2x-1) c. (2x +1)(4x2-2x+1) d. (2x-1)(4x2+2x+1)

d. (2x-1)(4x2+2x+1)

perform the operation (2y2 -5y +1) + (-3y2 +6y +2) a. y2 + y +3 b. -y2 -y +3 c. y2 -y +3 d. -y2 +y +3

d. -y2 +y +3

which expression is different from the others? a. 2:5 b. 2/5 c. 40% d. 0.04

d. 0.04

change 9/10 to a decimal. simplify completely a. 0.75 b. 0.8 c. 0.85 d. 0.9

d. 0.9

multiply 1 1/2 x 1 1/6 a. 1 1/12 b. 1 1/4 c. 1 3/8 d. 1 3/4

d. 1 3/4

a certain type of screw comes in packs of 35. if a contractor orders 52 packs, how many screws does he receive? a. 2 b. 57 c. 245 d. 1,820

d. 1,820

divide 2/3 by 4 a. 1/12 b. 1/10 c. 1/8 d. 1/6

d. 1/6

evaluate the expression 8 x 15 a. 85 b. 105 c. 115 d. 120

d. 120

a right rectangular prism has dimensions of 4 inches by 5 inches by 6 inches. what is the surface area in square inches? a. 60 b. 74 c. 120 d. 148

d. 148

a cube has a side length of 5 centimeters. what is the surface area in square centimeters? a. 20 b. 25 c. 125 d. 150

d. 150

identify 3:00 PM in military time a. 0300 b. 0600 c. 1200 d. 1500

d. 1500

simplify (2x^2)(4) a. 2x(8) b. 4x(4) c. 8x(6) d. 16x(8)

d. 16x(8)

the temperature on Monday was -9 degrees and on Tuesday it was 8 degrees. what is the difference in temperatures in F a. -17 b. -1 c. 1 d. 17

d. 17

which fraction is the least? a. 5/6 b. 3/4 c. 17/24 d. 2/3

d. 2/3

which mathematical statement is true? a. 6 > 9 b. -3 > 2 c. 18 < -35 d. 20 > -21

d. 20 > -21

convert 12.5 pounds to ounces a. 142 b. 150 c. 192 d. 200

d. 200

which percent is closest to the ratio 7:3? a. 23% b. 43% c. 73% d. 233%

d. 233%

solved by substituting the expression mx in for y in the equation of a circle

solve the equation for x values for x are substituted into the linear equation to find the value for y

subtraction property of equality

subtract the same number from both sides of the equation

subtraction property of inequality

subtract the same number from both sides of the inequality

numeral

symbol that represents the number

to round a whole number, round the value to the nearest

ten or hundred

fraction represents a part of a

whole number

mixed number

whole number and a proper fraction

dividing a fraction and a whole or mixed number

write any whole number as a fraction with a denominator of 1. write any mixed numbers as improper fractions leave the first fraction (improper fraction) alone find the reciprocal of the second fraction multiply first fraction by reciprocal of second fraction rewrite fraction as mixed number and reduce completely

solve the system of equations by graphing y= 3x -2 y = x-4

(-1, -5)

area of a triangle

.5 times base times height

area of a trapezoid

.5 times the height (bases added together)

area of a regular polygon

.5(apothem times perimeter)

division symbol

/ or ./.

whole numbers

0, 1, 2, 3, 4.... natural numbers plus 0

change the decimal 0.3(repeating) to a fraction

0.3(repeating)/1 n= 0.3 10=3.3 10n-n= 3.3-0.3 9n=3 n=3/9= 1/3 1/3

example of comparing decimals: 0.4, 0.41, 0.39. 0.37 which is biggest

0.41

exponent of a linear equation is always

1

when multiplying by a whole number, change the whole number to a fraction with a denominator of

1

how many kilograms are in 1 metric ton

1,000

how many ounces are in 1 pound

16

change 16.6(repeating)% to a fraction

16.6/100 .16(repeating)/1 1/6

how many pints are in 1 quart

2

two-step linear equations- how many steps are there

2

example of improper fraction to a mixed number: 5/2

2 1/2

how many pounds are in 1 ton

2,000

change 22.8% to a fraction

22.8/100 228/1000 57/250

the quotient of 5/2 is (include remainder)

2R1

right rectangular prism surface area

2lw + 2lh +2hw

how many feet are in 1 yard

3

how many feet equals 1 meter

3.28

how many liters equals 1 gallon

3.79

convert 2 3/4 to a decimal

3/4 .75 add whole number 2.75

change the fraction 3/5 to a decimal

3/5 0.6 0.6 x 100 60%

how many quarts are in 1 gallon

4

change 45% to a fraction

45/100 9/20

example of mixed number to improper fraction: 2 1/2

5/2

in the expression 72/8 = 9 which number is the dividend, divisor and quotient

72 dividend 8 divisor 9 quotient

volume for a cube

V=s^3

power of a power rule

a(m)(n) = a(mn)

quotient rule (same base)

a(m)/a(n) = a(m-n)

quotient rule (different base)

a(m)/b(m) = (a/b)m

zero exponent rule

a(n) = 1

solve the system of equations y= -4x -4 y =-5x-4 a. (0, -4) b. (-4, 0) c. (0, 4) d. (4,0)

a. (0, -4)

solve the equation for the unknown: w/2= -6 a. -12 b. -8 c. -4 d. -3

a. -12

solve the equation for the unknown: x/-2 -3 = 5 a. -16 b. -8 c. 8 d. 16

a. -16

multiply -2xy(3xy -4x2y2) a. -6x2y2 +8x3y3 b. -6x2y2 -8x3y3 c. -6xy +8x3y3 d. -6xy -8x3y3

a. -6x2y2 +8x3y3

solve the equation for the unknown: 2/3x +2 = -1/2x + 2(x+1) a. 0 b. 1 c. 2 d. 3

a. 0

which decimal is the least? a. 0.0413 b. 0.0713 c. 0.0513 d. 0.0613

a. 0.0413

simplify (x^-2)/(y^2)3 a. 1/x6y6 b. x6/y6 c. y6/x6 d. x6y6

a. 1/x6y6

mike bought items that cost 4.78, 3.49, 6.79, 9.78 and 14.05. he had a coupon worth 5.00. if he paid with a 50.00 bill, then how much change does he receive a. 16.11 b. 18.11 c. 21.11 d. 23.11

a. 16.11

divide 1 5/12 by 1 1/2 a. 17/18 b. 1 5/24 c. 1 5/6 d. 2 1/8

a. 17/18

evaluate the expression 468/26 a. 18 b. 18R2 c. 494 d. 12,168

a. 18

convert 14 feet to yards a. 4 2/3 yards b. 5 yards c. 40 2/3 yards d. 42 yards

a. 4 2/3 yards

which fraction is the greatest? a. 5/6 b. 1/2 c. 2/3 d. 1/6

a. 5/6

a picture frame is in the shape of a right triangle with legs 12 centimeters and 13 centimeters and hypotenuse of 17 centimeters. what is the area in square centimeters? a. 78 b. 108 c. 117 d. 156

a. 78

difference of two squares

a2-b2 = (a-b)(a+b)

sum of cubes

a3 + b3 = (a+b)(a2 - 2ab + b2)

difference of two cubes

a3 - b3 = (a-b)(a2 + 2ab + b2)

addition property of equality

add the same number of both sides of the equation

addition property of inequality

add the same number to both sides of the inequality

real numbers

all numbers integers plus all fraction/decimal numbers in between

irrational numbers

all real numbers that are not rational rational and irrational numbers together constitute the entire set of real numbers

rational numbers

all real numbers that be expressed as p/q where p and q are integers and q is nonzero natural numbers, whole numbers, and integers are all rational numbers

polynomial

an expression that contains exponents, variables, constants and operations

division asks how many groups of some number are in

another number

solve the system of equation y = -3x x2 + y2 = 10 a. (1,3) and (-1, -3) b. (1, -3) and (-1, 3) c. (-3, 10) and (3, -10) d. (3,10) and (-3,-10)

b. (1, -3) and (-1,3)

solve the system of equations -5x + 5y = 0 2x - 3y = -3 a. (2,2) b. (3,3) c. (6,6) d. (9,9)

b. (3,3)

a golfer's last 12 rounds were -2, +4, -3, -1, +5, +3, -4, -5, -2, -6, -1 and 0. what is the average of these rounds a. -12 b. -1 c. 1 d. 12

b. -1

solve the equation for the unknown a-10 = -20 a. -30 b. -10 c. 2 d. 200

b. -10

solve x2 =121 a. -10,10 b. -11, 11 c. -12,12 d. -13,13

b. -11,11

multiply -4x2y2(5xy3) a. -20x2y5 b. -20x3y5 c. -20x2y6 d. -20x3y6

b. -20x3y5

if the population of an endangered frog species fell from 2,250 individuals to 2,115 individuals in a year, what is the population's annual rate of increase? a. -135% b. -6% c. 6% d. 135%

b. -6% 2,115-2,250/1 year - 0 year = -135 per year -135 per year/2,250= -.06% per year -.06% per year x 100% = -6% per year

a fruit salad is a mixture of 1 3/4 pounds of apples, 2 1/4 pounds of grapes, and 1 1/4 pounds of bananas. after the fruit is mixed, 1 1/2 pounds are set aside, and the rest is divided into three containers. what is the weight in pounds of one container? a. 1 1/5 b. 1 1/4 c. 1 1/3 d. 1 1/2

b. 1 1/4

write 131% as a decimal a. 0.131 b. 1.31 c. 13.1 d. 131

b. 1.31

the length of a room is 7 2/3 feet. when the length of the room is doubled, what is the new length in feet a. 14 2/3 b. 15 1/3 c. 15 2/3 d. 16 1/3

b. 15 1/3

find the circumference in inches of a circle with a diameter of 6 inches. use 3.14 for pi a. 9.42 b. 18.84 c. 25.12 d. 37.68

b. 18.84

convert 27 inches to feet a. 2 b. 2.25 c. 3 d. 3.25

b. 2.25

a circle has a circumference of 70 centimeters. find the diameter to the nearest tenth of a centimeter. use 3.14 for pi a. 11.1 b. 22.3 c. 33.5 d. 44.7

b. 22.3

find the circumference in centimeters of a circle with a diameter of 8 centimeters. use 3.14 for pi a. 12.56 b. 25.12 c. 50.24 d. 100.48

b. 25.12

evaluate the expression 154+98 a. 250 b. 252 c. 352 d. 15,498

b. 252

the population of china is about 1 x 10(9) and the population of the United States is almost 3 x 10(8). how many times larger is the population of China than the population of the United States? a. 9 b. 3 c. 4 d. 5

b. 3

solve the equation for the unknown: 2(4x+1)-5 = 3-(4x-3) a. 1/4 b. 3/4 c. 4/3 d. 4

b. 3/4

divide 1/2 / 5/6 a. 5/12 b. 3/5 c. 5/6 d. 1 2/3

b. 3/5

write 0.345 as a percent a. 3.45% b. 34.5% c. 345% d. 3450%

b. 34.5%

a regular decagon has a side length of 12 inches and an apothem of 6 inches. find the area in square inches a. 120 b. 360 c. 720 d. 960

b. 360 .5(6)(12)(10) = 360

solve x3 =125 a. 1 b. 5 c. 10 d. 25

b. 5

a circle has an area of 95 square centimeters. find the radius to the nearest tenth of a centimeter. use 3.14 for pi a. 2.7 b. 5.5 c. 8.2 d. 10.9

b. 5.5

if 15 out of every 250 contest entries are winners, what percentage of entries are winners? a. 0.06% b. 6% c. 15% d. 17%

b. 6%

Kevin has 120 minutes to complete an exam. If he already used 43, how many minutes does he have left? a. 43 b. 77 c. 87 d. 163

b. 77

evaluate the expression 275-198 a. -77 b. 77 c. 198 d. 473

b. 77

solve the equation for the unknown w: P = 21 +2w a. 2P -21= w b. P-21/2 = w c. 2P + 21= w d. P + 21/2 = w

b. P -21/2 = w

which statement about positive and negative numbers is true? a. the product of two negative numbers is negative b. the product of two negative numbers if positive c. the product of two negative is zero d. none of the above

b. the product of two negative numbers is positive

a college class had one group use a traditional textbook and another group use an online textbook. the attendance for the class was compared. determine the independent variable a. class attendance b. type of textbook c. grade for the class d. online version of the textbook

b. type of textbook

solve the inequality for the unknown 3(4x-1) > 5(2x+3) a. x > 2 b. x > 9 c. x > 10 d. x > 18

b. x >9

the dimensions for a soccer field are 45 meters by 90 meters. one corner of a soccer field on the coordinate plan is (-45, -30). what could a second coordinate be? a. (-45,30) b. (-45, 45) c. (-45, 60) d. (-45, 75)

c. (-45, 60)

solve the system of equations 3x + 5y = 28 -4x - 5y = -34 a. (12,6) b. (6, 12) c. (6, 2) d. (2, 6)

c. (6, 2)

solve the system of equations 3x + 2y = 41 -4x + y = -18 a. (5, 13) b. (6,6) c. (7,10) d. (10,7)

c. (7, 10)

apply the polynomial identity to rewrite x2 + 6x + 9 a. X2 + 9 b. (x2 + 3)2 c. (x+3)2 d. (3x)2

c. (x+3)2

solve x2 = 225 a. -5, 5 b. -10, 10 c. -15, 15 d. -20, 20

c. -15, 15

which decimal is the greatest? a. 0.07 b. 0.007 c. 0.7 d. 0.0007

c. 0.7

change 5/6 to a decimal. simplify completely. a. 0.73 b. 0.76(repeating) c. 0.83(repeating) d. 0.86

c. 0.83(repeating)

divide 1/3 / 1/4 a. 1 1/5 b. 1 1/4 c. 1 1/3 d. 1 1/2

c. 1 1/3

which fraction is the greatest? a. 3/10 b. 2/5 c. 1/2 d. 1/4

c. 1/2

which fraction is the least? a. 3/5 b. 3/4 c. 1/5 d. 1/4

c. 1/5

given the coordinates for a square (-6, 6), (6, 6), (6, -6), (-6, -6) find the length of each side of the square a. 0 units b. 6 units c. 12 units d. 18 units

c. 12 units

a right rectangular prism has dimensions of 4 inches by 5 inches by 6 inches. what is the volume in cubic inches? a. 60 b. 62 c. 120 d. 124

c. 120

a cube has a side length of 5 centimeters. what is the volume in cubic centimeters? a. 20 b. 25 c. 125 d. 180

c. 125

simplify 5(6) x 5 (-3) a. 5 b. 15 c. 125 d. 625

c. 125

there are 168 hours in a week. Carson does the following: sleeps 7.5 hours each day of the week goes to school 6.75 hours five days a week reads and studies 1.75 hours every day eats 1.5 hours every day practices martial artsand basketball 1.5 hours each three times a week estimate the remaining number of hours: a. 30 b. 35 c. 40 d. 45

c. 40

ron is training for a marathon. if he trains by running 57.5 miles every 5 days, then about how many miles will he run in 43 days? a. 120 b. 300 c. 480 d. 60

c. 480

convert 16 kilograms to pounds a. 7.27 b. 18.2 c. 19.27 d. 35.2

d. 35.2

a red blood cell has a length of 8 x 10(-6) meter, and a skin cell has a length of 3 x 10(-5) meter. how many times larger is the skin cell? a. 1 b. 2 c. 3 d. 4

d. 4

two rectangular rooms need to be carpeted. the dimensions of the first room are 18 feet by 19 feet, and the dimensions of the second room are 12 feet by 10 feet. what is the total are to be carpeted in square feet? a. 118 b. 236 c. 342 d. 462

d. 462

given the coordinates for a rectangle (4,8), (4,-2), (-1, -2), (-1,8) find the length of each side of the rectangle a. 3 units and 6 units b. 3 units and 10 units c. 5 units and 6 units d. 5 units and 10 units

d. 5 units and 10 units

convert 67 milliliters to centimeters a. 0.0067 b. 0.067 c. 0.67 d. 6.7

d. 6.7

evaluate the expression (-7) x (-9) a. -63 b. -16 c. 16 d. 63

d. 63

convert 8 gallons to pints a. 1 b. 4 c. 16 d. 64

d. 64

convert 8 kilometers to feet a. 13,118.01 b. 26,236.02 c. 34,003.20 d. 68,006.40

d. 68,006.40

simplify (3^2)3 a. 18 b. 216 c. 243 d. 729

d. 729

if a recipe calls for 3 parts flour to 2 parts sugar, how much sugar does a baker need if she uses 12 cups of flour? a. 2 cups b. 3 cups c. 6 cups d. 8 cups

d. 8 cups

convert 84 grams to centigrams a. 0.84 b. 8.4 c. 840 d. 8,400

d. 8,400

if the ratio of women to men in a certain industry is 5:4, how many people are in that industry? a. 9 b. 20 c. 900 d. not enough information

d. not enough information

solve the inequality for the unknown: 3(2 + x) < 2 (3x-1) a. x < -8/3 b. x > -8/3 c. x < 8/3 d. x > 8/3

d. x > 8/3

solve the inequality for the unknown: 1/2(2x -3) >/ 1/4(2x+1)-2 a. x > -7 b. x > -3 c. x >/ -3/2 d. x >/ -1/2

d. x >/ -1/2

solve the equation for the unknown x: y-y1= m(x-x1) a. y-y1 + mx b. my-my1 + mx c. y-y1 + x1/m d. y-y1 + mx1/m

d. y-y1 + mx1/x

bottom number of a fraction is called the

denominator

multiplication of fractions does not require changing any

denominators

division property of equality

divide both sides of the equation by the same number

to write an improper fraction as a mixed number

divide the denominator into the numerator result is the whole number remainder is the numerator of the proper fraction denominator stays the same

change a fraction to a percent

divide the numerator and denominator multiply by 100 and add a percent sign

proportion

equation of two ratios

linear equation

equation where two expressions are set equal to each other

exponents

evaluate exponential operations- ignore this if no exponents are present

ratio

expresses the relationship between two numbers and is expressed using a colon or fraction notation

numbers in a multiplication expression are called

factors

solving a system of equations by graphing

graph each equation in the coordinate plane estimate the point of intersection check the point by substituting for x and y in each equation of the original system

parentheses

if the expression has parentheses within parentheses, begin with the innermost one

can be two ordered pairs that intersect between the line and the circle

if there is one ordered pair, the line is tangent to the circle

digit

individual numeral

how many solutions are there in linear inequalities

infinite

subtraction

inverse (opposite) of addition represents the difference between them

if a number is not a perfect square root or cube root, the solution is an approximation. when this occurs, the solution is an

irrational number

as with addition, the order of numbers in a multiplication expression is (irrelevant/ relevant?) to the produce

irrelevant

solution to the system

is an ordered pair that is a solution in all the equations in the system

exponent

is the number of times the base is multiplied

division is the inverse of

multiplication

multiplication property of equality

multiply both sides of the equation by the same number

multiplication property of inequality (when multiplying by a negative number)

multiply both sides of the inequality by the same number

multiplication property of inequality (when multiplying by a positive number)

multiply both sides of the inequality by the same number

change a decimal to a percent

multiply decimal by 100 move decimal point 2 places to the right

mixed number to an improper fraction

multiply the whole number by the denominator add the result to the numerator

solving a system of equations by elimination

multiply, if necessary, one or both equations by a constant so at least one pair of like terms has opposite coefficients add the equations to eliminate one of the variables solve the resulting equation substitute the value from step 3 into one of the original equations and solve for the other variable

cube of a number

number raised to the power of 3

decimal

number that expresses part of a whole show a portion of a number after a decimal point

difference between number and numeral

number- quantity numeral- symbol

perfect cubes

numbers with whole number of cube roots

perfect squares

numbers with whole number square roots

MD (multiplication and division)

perform all multiplication and division operations, going through the expression from left to right

when comparing decimals, compare the numbers in the same

place value

trinomial

polynomial of three terms

binomial

polynomial of two terms

if the two numbers have the same sign, their product or quotient is

positive

addition

process of combining two or more numbers

result in a multiplication expression is called

product

rate of change

ratio of the quantity's difference over a specific time period to the length of that period

when the dividend is unevenly divisible by the divisor, calculating the quotient with a ____ can be conveniant

remainder

subtract polynomials

rewrite the second polynomial using an additive inverse change the minus sign to a plus sign change the sign of every term inside the parentheses add the polynomials

estimations

rough calculations of a solution to a problem

when comparing fractions the denominators must be the

same

system of linear equations

set of two or more linear equations in the same variables

area of a square

side squared

linear inequality

similar to a linear equation, but it contains an inequality sign

steps to solve a multi-step linear equation

simplify each side of the equation. this includes removing parentheses, removing fractions and adding like terms use addition and subtraction properties of an equation to move the variable to one side of the equation and all number terms to the other side of the equation use multiplication and division properties of an equation to remove the value in front of the variable

steps to solving a complex linear inequality

simplify each side of the inequality. this includes removing parentheses, removing fractions and adding like terms use addition and subtraction properties of an inequality to move the variable to one side of the equation and all number terms to the other side of the equation use multiplication and division properties of an inequality to remove the value in front of the variable. reverse the inequality sign if multiplying or dividing by a negative number

solving a system of equations by substitution

solve one equation for one of the variables substitute the expression from Step 1 into the other equation and solve for the other variable substitute the value from step 2 into one of the original equations and solve

change a decimal to a fraction

write the decimal divided by 1, with the decimal as the numerator and 1 as the denominator multiply the numerator and denominator by 10 for every number after the decimal point (if theres 2 points after the decimal multiply by 100, etc.) reduce the fraction completely

x + (-y) =

x-y

equation of a circle is

x2 + y2 = r2 where r is the radius

rate of change formula

y2-y1/x2-x1

power

an expression that is a repeated multiplication of the same factor

how many fluid ounces are in 1 pint

16

order of operations mneumonic

PEMDAS

linear equation form

ax +b = c

change 1.1(repeating) to a fraction. simplify completely a. 1 1/11 b. 1 1/9 c. 1 1/6 d. 1 1/3

b. 1 1/9

multiplication symbol

x