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