Free Printable Math 8 Review

1.

Sophia has a cylindrical container with a height of 10 inches and a radius of 3 inches. Find the volume of the container to the nearest tenth using 3.14 instead of Pi.

a)

282.6 in³

b)

94.2 in³

c)

235.5 in³

d)

78.5 in³

2.

Find the volume to the nearest hundredth using 3.14 instead of π.

a)

12.56 ft³

b)

37.68 ft³

c)

18.84 ft³

d)

6.28 ft³

3.

Find the volume of the solid shown in the figure?

a)

7230

b)

6621

c)

1130

d)

907

4.

Mike created a cone that has a diameter of 8 feet and a height of 3 feet. Find the volume of this cone. Use 3.14 for π.

a)

50.24 ft³

b)

150.72 ft³

c)

not here

d)

192.65 ft³

5.

Emma is looking at two parallel streets crossed by a diagonal road, forming two angles. One angle measures $(2x-10)^\circ$ and the other measures $(4x+16)^\circ$ . Which is the correct equation to solve for x?

a)

$2x-10=4x+16$

b)

$\left(2x-10\right)+\left(4x+16\right)=180$

c)

$\left(2x-10\right)+\left(4x+16\right)=90$

6.

Arjun is looking at two intersecting lines. One of the vertical angles measures (x+16)° and the other measures (4x-5)°, as shown in the diagram. Which of the following equations can be used to find the value of x?

a)

$\left(x+16\right)+\left(4x-5\right)=90$

b)

$x+16=4x-5$

c)

$\left(x+16\right)+\left(4x-5\right)=180$

7.

Nora is tracking her bank account balance and notices it is -6.75 dollars. Classify this number by checking all that apply!

(Hint: every number shown is a REAL number!)

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

8.

Classify the numbers by checking all that apply!

$\sqrt{175}$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

9.

Classify the number by checking all that apply!

$5\pi$
(Anything with $\pi$ is irrational)

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

10.

Classify the number by checking all that apply!

$\frac{30}{3}$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

11.

Classify the number by checking all that apply!

$-\sqrt{9}$

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

12.

If three sides of a right triangle are 9, 40, and 41, which side is the hypotenuse?

a)

9

b)

40

c)

41

13.

Zoe is building a ramp for her skateboard. The ramp forms a right triangle with a height of 9 feet and a base of 15 feet. What is the length, in feet, of the ramp (the missing side)?

a)

10

b)

12

c)

14

d)

16

14.

A rectangular pool at Andy's gym measures 25 m by 50 m. How far would Andy swim if he swims across the pool diagonally?

a)

5 m

b)

8.7 m

c)

43.3 m

d)

55.9 m

15.

A baseball "diamond" is actually a square with sides of 90 feet. If a runner tries to steal second base, how far must the catcher at home plate throw to get the runner out? (Distance across the diagonal)

a)

180 feet

b)

90 feet

c)

13.4 feet

d)

127.3 feet

16.

Mia is designing a triangular sign for a school project. She makes sure that two of the angles at the base are each 35º, as shown in the diagram. What is the value of the angle x at the top of the triangle?

a)

35º

b)

70º

c)

110º

d)

145º

17.

Find the value of x.

a)

39º

b)

49º

c)

78º

d)

102º

18.

Do these side lengths form a right triangle?
20, 13, 29

a)

Yes

b)

No

19.

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

a)

15x + 2.5 = 10x + 3

b)

15 + 2.5x = 10 + 3x

c)

15 - 2.5x = 10

d)

15 - 10 = 2.5x + 3x

20.

Select the situation that could be modeled by: 120 + 25x = 45x.

a)

John bought a car radio for $120 and speakers for $25 each. Joe bought a radio for $45. They each paid the same. How much did they spend?

b)

George charges a flat fee of $120 to mow a lawn plus $25 an hour. Greg charges $45 a hour to mow a lawn. After how many hours do they make the same amount?

c)

Lisa pays $120 for each purse she buys plus an additional $25 to have them personalized. Lauren pays $45 for each purse she buys. How many purses must they buy for the amount they spent to be the same?

21.

Solve. 3/4n - 18 = 1/4n - 4

a)

28

b)

7

c)

14

d)

5

22.

Two objects that are the same shape but not the same size are _______.

a)

Congruent

b)

Vertical

c)

Similar

d)

Complementary

23.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
5x + 6 = 2 + 3x

a)

one

b)

no solutions

c)

infinite solutions

24.

A fraction is which type of number?

a)

Rational

b)

Irrational

25.

In the translation, x-3, the image....

a)

moves up

b)

moves down

c)

moves right

d)

moves left

26.

Given the term 7n, what is "7"?

a)

constant

b)

coeffeicient

c)

variable

d)

corresponding

27.

What is the set of all real numbers that can be written as fraction/ratio with a nonzero denominator (can be positive or negative)?

a)

rational numbers

b)

irrational numbers

c)

integers

d)

whole numbers

28.

a decimal the has a finite ending

a)

terminating decimal

b)

repeating decimal

29.

a decimal that repeats a set of numbers infinitely

a)

repeating decimal

b)

terminating decimal

30.

A constant is a...

a)

term with no variables

b)

number in front of a variable

31.

The rule for reflection over the y-axis is
(x, y) -->

a)

(y, x)

b)

(x, -y)

c)

(-x, y)

d)

(-y, x)

32.

The rule for rotation of 180 degrees is
(x, y) -->

a)

(-y, x)

b)

(-x, -y)

c)

(y, -x)

d)

(-y, -x)

33.

Chose the correct transformation:
(x, y) --> (x, -y)

a)

Reflection across x-axis

b)

Reflection across y-axis

c)

90 degree clockwise rotation

d)

90 degree counter clockwise rotation

34.

Chose the correct transformation:
(x, y) --> (-y, x)

a)

Reflection across x-axis

b)

Reflection across y-axis

c)

90 degree clockwise rotation or 270 degree counter clockwise rotation

d)

90 degree counter clockwise rotation or 270 degree clockwise rotation

35.

Chose the correct transformation:
(x, y) --> (x , y + 2)

a)

Translation 2 units up

b)

Translation 2 units left

c)

Translation 2 units down

d)

Translation 2 units right

36.

Describe the transformation shown in the graph.

a)

Rotate 90 degrees CCW

b)

Translate 3 left and 4 down

c)

Translate 1 left and 2 down

d)

Reflect over y-axis

37.

What sequence of transformations will map trapezoid A to its image A'?

a)

Reflection, then translation

b)

Rotation, then translation

c)

Reflection, then rotation

d)

Rotation, then dilation

38.

What sequence of transformations could map ∆ABC onto its image ∆A''B''C''?

a)

a reflection followed by a rotation

b)

a reflection followed by a translation

c)

a translation followed by a rotation

d)

a translation followed by a reflection

39.

Which of the following describes the sequence of transformations shown?

a)

Reflect across the x-axis and then rotate 90 degrees clockwise around the origin

b)

Rotate 90 degrees clockwise around the origin and then translate down.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90 degrees counterclockwise about the origin.

40.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

41.

a)

Function

b)

Not a Function

42.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

43.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

44.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

45.

Which of these is NOT the same

a)

Range

b)

Input

c)

Dependent Value

d)

Y-Value

46.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

47.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

48.

Does the table represent a function?

a)

Yes, there is a repeated x-value.

b)

No, there aren't any repeated y-values.

c)

Yes, there are repeated y-values.

d)

No, there is a repeated x-value.

49.

a)

8

b)

-24

c)

24

d)

-22

50.

a)

27

b)

21

c)

24

d)

72

51.

a)

30

b)

62

c)

14

d)

32

52.

a)

84

b)

92

c)

116

d)

64

53.

Is function represented by the table linear or nonlinear?

a)

linear

b)

nonlinear

54.

Write an equation in slope-intercept form:

$slope\ =\ -\frac{2}{3}$ $y-intercept\ =\ \left(0,\ -9\right)$

a)

$y\ =\ -\frac{2}{3}x\ +\ 9$

b)

$y\ =\ -\frac{2}{3}x\ -\ 9$

c)

$y\ =\ -9x\ +\ \frac{2}{3}$

d)

$y\ =\ -9x\ -\ \frac{2}{3}$

55.

Write the equation for the graph shown.

a)

$y\ =\ \frac{2}{1}x\ +\ 9$

b)

$y\ =\ -\frac{1}{2}x\ -\ 9$

c)

$y\ =\ -\frac{2}{1}x\ +\ 9$

d)

$y\ =\ \frac{1}{2}x\ +\ 9$

56.

Write an equation for the graph shown.

a)

$y\ =\ -\frac{3}{1}x\ +\ 2$

b)

$y\ =\ \frac{1}{3}x\ +\ 2$

c)

$y\ =\ \frac{3}{1}x\ +\ 2$

d)

$y\ =\ 2x\ +\ \frac{3}{1}$

57.

Write the equation for the graph shown.

a)

$y\ =\ -\frac{2}{4}x\ +\ 8$

b)

$y\ =\ \frac{2}{4}x\ +\ 8$

c)

$y\ =\ 8x\ +\ \frac{2}{4}$

d)

$y\ =\ -\frac{4}{2}x\ +\ 8$

58.

Gil has $200 saved for snacks. He will spend $5 on snack per week until he runs out.

a)

$y\ =\ 200-5x\$

b)

$y\ =\ 5x\ +\ 200$

c)

$y\ =\ -200x\ +\ 5$

59.

Write an equation for the table shown.

a)

$y\ =\ \frac{1}{2}x\ +\ 4$

b)

$y\ =\ \frac{1}{2}x\ -\ 2$

c)

$y\ =\ \frac{2}{1}x\ -\ 2$

d)

$y\ =\ \frac{1}{2}x\ -\ 3$

60.

Which is the graph of y=-x+2?

a)

A

b)

B

c)

C

d)

D

61.

Find the slope between the two given points: (-2,1) and (5,7)

a)

7/6

b)

2

c)

6/7

d)

-2

62.

Based on the scatterplot, which of the following conclusions about the relationship between her height and weight is true?

a)

There is a negative relationship between height and weight

b)

There is a positive relationship between height and weight

c)

There is a constant relationship between height and weight

d)

There is no relationship between height and weight

63.

What type of correlation does this scatter plot show?

a)

positive

b)

negative

c)

no correlation

d)

nonlinear association

64.

Describe the correlation in the graph shown.

a)

Strong Negative

b)

Strong Positive

c)

Weak Negative

d)

Weak Positive

65.

Which sentence describes the relationship shown on this scatter plot?

a)

As the temperature decreases, the visitors increase.

b)

As the temperature increases, the number of visitors increases.

c)

As the visitors increase, the temperature decreases.

d)

No correlation

66.

What type of association does this scatter plot represent?

a)

positive linear association

b)

negative association

c)

no association

d)

nonlinear association

67.

What is the type of association?

a)

Negative

b)

no association

c)

positive

68.

Which scatter plot shows a linear relationship between x and y?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

69.

As the age of the car increases, its value decreases. Which scatterplot represents this relationship?

a)

A

b)

B

c)

C

d)

D

70.

Which of the following lines represents the line of best fit for the scatter plot?

a)

A

b)

B

c)

C

d)

D

71.

Which graph has a positive association?

a)

A

b)

B

c)

C

d)

D

72.

THE PRODUCT RULE FOR EXPONENTS YOU....

a)

subtract

b)

add

c)

multiply

d)

divide

73.

$5^3\cdot5^4$

a)

$5^2$

b)

$5^7$

c)

$5^6$

d)

$5^{10}$

74.

$\frac{5^3}{5^2}$

a)

$5$

b)

$5^5$

c)

$5^2$

d)

$5^8$

75.

$\frac{7^3}{7^{10}}$

a)

$7^7$

b)

$\frac{1}{7^7}$

c)

$7^{13}$

d)

$\frac{1}{7^{13}}$

76.

$5^{-1}$

a)

$\frac{1}{5}$

b)

$\frac{1}{5^{100}}$

c)

$\frac{1}{5^3}$

d)

$\frac{1}{5^2}$

77.

$\left(7^3\right)^4$

a)

$7^{12}$

b)

$7^7$

c)

$7^1$

78.

$\left(877237646642375623646237\right)^0$

a)

1

b)

DON'T KNOW

c)

YOU SHOULD KNOW THE ANSWER

d)

THINK OF THE LONELIEST NUMBER!

79.

10⁵x 10⁷

a)

10²

b)

10³

c)

10¹²

d)

10¹³

80.

Simplify:
(x³)²

a)

x⁵

b)

x

c)

x⁶

d)

3x²

81.

Write with positive exponents:

a)

a^-2

b)

a²

c)

$\frac{1}{a^2}$

d)

2a

82.

Rewrite using a positive exponent.
7^-10

a)

¹/_7¹⁰

b)

7¹⁰

c)

¹/_7^-10

d)

-70

83.

Simplify.

a)

y⁶⁰

b)

¹/_y¹⁶

c)

y^-16

d)

y⁴

84.

a)Real Numbers

b)Irrational

c)Natural

d)Whole number

e)Integers

f)Rational Numbers

1

2

3

4

5

6

1)

2)

3)

4)

5)

6)

85.

The number is a/an...

a)

Rational Number

b)

Irrational Number

c)

Integer

d)

Whole Number

86.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

87.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

88.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

89.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

90.

Based on the equations for each line, determine how many solutions the system would have.

y=5x+3

y=5x-2

a)

Infinite Number of Solutions

b)

No Solution

c)

One Solution

91.

Based on the equations for each line, determine how many solutions the system would have.

y=-3x+2

a)

Infinite Number of Solutions

b)

No Solution

c)

One Solution

92.

How can you tell if a point is a solution to a system?

a)

It makes the first equation true.

b)

The (x,y) coordinates satisfy both equations

c)

It makes logical sense

d)

It makes neither equation negative

93.

y = -5x + 16

3x + 5y = -8

a)

(-1, -1)

b)

(1, 4)

c)

(-1, -2)

d)

(-1, 2)

94.

y = -6x - 2

y = 4x - 12

a)

(1, 8)

b)

(1, -8)

c)

(-1, 8)

d)

(1, 0)

95.

-6x + 4y = 12

y = 6

a)

(6, 6)

b)

(2, 4)

c)

(2, 6)

d)

(2, -6)

96.

Find the x-intercept
4x + 3y = 24

a)

(6,0)

b)

(0,-6)

c)

(-8,0)

d)

(0,-8)

97.

What is the formula for standard form?

a)

y=mx+b

b)

y-y₁=m(x-x₁)

c)

Ax+By=C

d)

rise÷run

98.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

99.

What is the equation of this line?

a)

x=5

b)

y=5

c)

y=5x

d)

x=-5

100.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

101.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

102.

Is this table a function or not a function?

a)

Function

b)

Not a Function

103.

Is the function Linear or Nonlinear?

a)

Linear

b)

Nonlinear

104.

Which of the following is NOT a linear function?

a)

y = 3x

b)

y = x²

c)

y = 5x - 9

d)

y = 3(x + 4)

Math 8 Review

Total questions: 104

Worksheet time: 4hrs 12mins

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