Free Printable 8th Grade Math Review

1.

In the Pythagorean Theorem, c is always the ____ number.

a)

largest

b)

smallest

c)

middle

d)

first

2.

In the equation y=mx+b, m is the ____.

a)

Slope

b)

Y-intercept

c)

X-intercept

d)

Origin

3.

What is the base in 2⁸ ?

(a)

4.

How do you write 1001 in scientific notation?

(a)

5.

Simplify to an equivalent expression BUT leave in exponent form.
4³⋅4⁵

a)

4⁸

b)

16⁸

c)

4¹⁵

d)

16¹⁵

6.

0.8 is a rational number

a)

True

b)

False

7.

Numbers like -3, -2, -1, 0, 1, 2, 3 are called

a)

whole numbers

b)

integers

c)

rational numbers

d)

natural numbers

8.

Which expression represents a negative number?

a)

5 − (-6)

b)

-12 ÷ 6

c)

(-3)³

d)

(-2)×(-4)

9.

What is the slope of this line?

(a)

10.

Which expression is equivalent to –15x + 6?

a)

–3(5x – 2)

b)

–3(5x + 6)

c)

3(-5x – 2)

d)

3(5x + 6)

11.

-5 - (- 3)

(a)

12.

Combine Like Terms:

−x²+2−1+6x²−4x²

(a)

13.

Simplify the expression:
6 + 2(7x - 3)

(a)

14.

3. Find x, the missing side length in the right triangle. (number answer only)

(a)

15.

Find the slope

(a)

16.

The slopes of parallel lines are...

a)

the same

b)

opposite

c)

always different

17.

Simplify the expression using exponents.

$9^3\cdot9^5$

a)

81⁸

b)

9¹⁵

c)

9⁸

d)

81¹⁵

18.

Using exponents, what is the simplified form of this expression?
$\frac{5^7}{5^2}$

a)

5⁹

b)

1⁵

c)

5¹⁴

d)

5⁵

19.

What is the value of 18⁰?

(a)

20.

Which integer is a perfect square?

a)

169

b)

24

c)

10

d)

212

21.

Slope is ________.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

22.

Slope is ________.

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

23.

What is the solution to this system?
(ordered pair)

(a)

24.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

25.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

26.

Which is the smallest?
1.3 x 10²⁰2.9 x 10²¹9.5 x 10³²8.4 x 10¹⁹

a)

1.3 x 10²⁰

b)

2.9 x 10²¹

c)

9.5 x 10³²

d)

8.4 x 10¹⁹

27.

Give the solution to the system.

a)

(3,1)

b)

(1,3)

c)

(-1,3)

d)

(1, -3)

28.

0.0000713 converted to scientific notation is ______.

a)

7.13 x 10^-5

b)

7.13 x 10⁵

c)

7.13 x 10^-4

d)

7.13 x 10⁴

29.

Solve for x.

4x + 3 = -5

(a)

30.

Solve for x.

$6\left(x+2\right)=-36$

(a)

31.

√36=

(a)

32.

If m=-3 and b= 2, what is the equation for this line?

a)

y= -3x +2

b)

y= -3x -2

c)

y= 3x +2

d)

y= 3x - 2

33.

9- (-7) =

(a)

34.

What is the y-intercept?

a)

1

b)

-1

c)

3

d)

-3

35.

a)

Function

b)

Not a Function

36.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

37.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

38.

Find the missing side.

a)

9

b)

3

c)

41

d)

1

39.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

40.

The image shows what type of transformation

a)

Rotation

b)

Translation

c)

Reflection

41.

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)

42.

A survey explored the relationship between gender and band class. Which is a reasonable conclusion?

a)

There are more band members than non-band members

b)

There are more boys in the class than girls

c)

There are more boys in band than not in band

d)

More than half of the bands members in the class are girls

43.

What is the equation of this line?

a)

x=5

b)

y=5

c)

y=5x

d)

x=-5

44.

If the dotted figure is the image, the original figure was reflected over the ...

a)

x-axis

b)

y-axis

45.

What is this picture an example of?

a)

An angle

b)

A cat vertex

c)

Rotation

d)

Dilation

46.

What is the best method to use?

−4x − 2y = −12

4x + 8y = −24

a)

Graphing

b)

Substitution because a variable is defined

c)

Elimination because the equations are in standard form.

47.

What variable do you eliminate?

4x + 8y = 20

−4x + 2y = −30

a)

X because they have opposite signs

b)

Y because they have opposite signs

48.

a)

Function

b)

Not a Function

49.

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

50.

Find the intial value

a)

0

b)

3

c)

4

d)

5

51.

What is 88% as a decimal?

(a)

52.

What is 7/10 as a decimal?

(a)

53.

What is 5/25 as a percentage?

(a)

54.

What is 0.45 as a simplified fraction?

a)

4/5

b)

45/100

c)

45/10

d)

9/20

55.

What is 75% as a simplified fraction?

a)

3/4

b)

15/20

c)

75/10

d)

7/5

56.

What is 0.9999 as a percentage?

a)

9%

b)

90%

c)

99.99%

d)

99.999999999%

57.

How do you write this in exponent form?

4*4*4*4*4*4*4

(a)

58.

Evaluate $3^3$

(a)

59.

7(-2)

a)

14

b)

9

c)

-14

d)

-9

60.

Solve for x:

x-6=12

(a)

61.

$\frac{4}{6}+\ \frac{1}{6}$

(a)

62.

Combine like terms

x+3+7+2x

(a)

63.

$\frac{7}{12}+\ \frac{4}{12}$

a)

1

b)

12/12

c)

11/12

d)

11/24

64.

5 x (-2)

a)

-10

b)

8

c)

10

d)

-8

65.

Solve for x: 7x+10=52

(a)

66.

5y+2-1+8x

a)

5y+1+8x

b)

5y-1-8x

c)

8x+5y+1

d)

13xy-1

67.

-12 + 8

a)

-18

b)

4

c)

-4

d)

-20

68.

-6(5+1x)

a)

-30+6x

b)

30+6x

c)

-30-6x

d)

-30x+1x

69.

What is the missing side length of a square if the width is 6?

a)

6

b)

5

c)

3

d)

1

70.

7 is what 37% of what number?

(a)

71.

Solve: -4(x-2)=16

(a)

72.

You have 10 2/7 ounces of candle wax to make an army of tiny, beautiful-smelling candles. You are able to make a total of 12 candles from the wax. How much wax is in each candle?

a)

6/7 ounces per candle

b)

1/3 ounces per candle

c)

2/5 ounces per candle

d)

4/7 ounces per candle

73.

$\left(-3\right)^2$

a)

-9

b)

-6

c)

6

d)

9

74.

$\frac{5}{10}-\frac{4}{10}$

a)

2/10

b)

3/10

c)

1/10

d)

6/10

75.

Write 2/3 as a decimal

a)

3.2

b)

2.3

c)

0.666666666

d)

2.4

76.

Angle 3 and Angle 6 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

77.

Angle 1 and Angle 5 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

78.

Angle 6 and Angle 7 are examples of which type of angle pair?

a)

Alternate exterior angles

b)

Alternate interior angles

c)

Vertical angles

d)

Corresponding angles

79.

Which of the following angles would NOT be congruent to the measure of $\angle7$ ?

a)

$\angle2$

b)

$\angle3$

c)

$\angle6$

d)

$\angle8$

80.

Which of the following is NOT an example of supplementary angles?

a)

$\angle7\ and\ \angle8$

b)

$\angle2\ and\ \angle3$

c)

$\angle1\ and\ \angle7$

d)

$\angle6\ and\ \angle4$

81.

If the $m\angle7\ =\ 115\degree,$ find the measure of $\angle2.$

a)

$115\degree$

b)

$65\degree$

c)

$180\degree$

d)

Cannot be determined

82.

If the $m\angle5\ =\ 63\degree,$ find the measure of $\angle3.$

a)

$63\degree$

b)

$117\degree$

c)

$180\degree$

d)

Cannot be determined

83.

If the $m\angle1\ =\ 57\degree,$ find the measure of $\angle6.$

a)

$123\degree$

b)

$57\degree$

c)

$180\degree$

d)

Cannot be determined

84.

What is the value of the missing angle?

REMEMBER the sum of interior angles of a triangle are 180

a)

61

b)

50

c)

60

d)

69

85.

*Hint* <1 equals the sum of the nonadjacent interior angles

a)

41°

b)

65°

c)

102°

d)

115°

86.

What is the slope of a line parallel to y = 4x + 1?

a)

4

b)

-1/4

c)

1/4

d)

-4

87.

Convert 0.25 to a fraction.

a)

1/4

b)

1/2

c)

1/5

d)

1/3

88.

What is the y-intercept of the line y = -2x + 5?

(a)

89.

Convert 0.25 to a fraction.

(a)

90.

What is the value of 5⁰?

a)

1

b)

0

c)

5

d)

-5

91.

Which of the following is a rational number?

a)

e

b)

√2

c)

π

d)

0.75

92.

What is the result of 5² - 3²?

(a)

93.

Convert 0.00045 to scientific notation.

a)

4.5 x 10^-4

b)

4.5 x 10^-3

c)

4.5 x 10³

d)

4.5 x 10^-5

94.

Which of the following is a linear equation?

a)

y = 3x² - 4x + 1

b)

y = x² + 2

c)

y = 2x + 3

d)

y = 5/x

95.

How is trapezoid ABCD translated to trapezoid A'B'C'D'?

a)

Translated 5 units down and 5 units to the right

b)

Translated 5 units down and 1 to the right

c)

Translated 8 units down and 5 units to the right

d)

Translated 5 units down and 4 units to the right

96.

Bob has $150 in his savings account and saves $40 per month.

a)

y=150 + 40

b)

y=40x + 150

c)

y=150x + 40

97.

Comparing integers -1 ____ -11

a)

<

b)

>

c)

+

98.

Find the Area:

(a)

99.

What is the perimeter?
(click to show image)

(a)

100.

What is the perimeter of this figure?
(click to show image)

(a)

101.

What is the surface area of this figure?

a)

200 cm ²

b)

800 cm ²

c)

400 cm ²

d)

100 cm ²

102.

22+2a=37+6+a

(a)

103.

-8 - 5a = 12 - 9a

(a)

104.

3a - 24 = -a

(a)

105.

Which graph represents the equation $y=4x-1$

a)

b)

c)

d)

106.

Which graph represents the table?

a)

b)

c)

d)

107.

Which equation matches the table?

a)

y = x + 5

b)

y = 5x

c)

y = x - 5

d)

x = y - 5

108.

Which graph is correct for y = -x + 3?

a)

A

b)

B

109.

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

a)

A

b)

B

c)

C

d)

D

110.

Which graph represents $y=-\frac{3}{2}x+4$

a)

b)

c)

d)

8th Grade Math Review

Total questions: 110

Worksheet time: 3hrs 21mins

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