Free Printable Question Bank for Grade 8 Mathematics

1.

What is the slope of the equation y = 4 + 2x?

a)

4

b)

2

c)

1/2

d)

-2

2.

Simplify $g^3\circ\left(g^3\right)^4$

a)

$g^{10}$

b)

$g^{13}$

c)

$g^{15}$

d)

$g^{36}$

3.

Simplify $\frac{k^4}{k^3k^2}$

a)

$\frac{1}{k}$

b)

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

c)

k

d)

$k^2$

4.

Simplify $\left(h^5\right)^0$

a)

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

b)

0

c)

$h^5$

d)

1

5.

Which of the following is NOT a method for solving a system of equations?

a)

Graphing

b)

Distributive

c)

Substitution

d)

Elimination

6.

What is the slope of the equation y = x?

a)

0

b)

x

c)

y

d)

1

7.

What is the y- intercept of the equation y = x?

a)

0

b)

x

c)

y

d)

1

8.

What is the y-intercept of the equation y = 3x - 5?

a)

5

b)

3

c)

-5

d)

-3

9.

How many solutions does the equation 9x = 9x have?

a)

no solutions

b)

infinitely many solutions

c)

one solutions

d)

two solutions

10.

What is $3.2\ \times10^2$ in standard form?

a)

320

b)

3200

c)

.032

d)

.0032

11.

Solve $10^3$

a)

300

b)

3000

c)

1000

d)

100

12.

Solve for x.

5x = 5

a)

1/5

b)

25

c)

1

d)

5

13.

When given a set of parallel lines cut by a transversal, what property says the angles add up to 180 degrees?

a)

corresponding

b)

alternate interior

c)

supplementary

d)

complementary

14.

When a vertical line is graphed on a coordinate plane, what type of slope does it have?

a)

no slope

b)

zero slope

c)

positive slope

d)

negative slope

15.

Which transformation turns a figure?

a)

translation

b)

dilation

c)

rotation

d)

reflection

16.

When given a set of parallel lines cut by a transversal, which properties have equal angles?

a)

alternate interior

b)

alternate exterior

c)

same side interior

d)

corresponding

e)

vertical

17.

If a right triangle has the side lengths of 4m and 3m, what is the length of the hypotenuse?

a)

7

b)

5

c)

12

d)

6

18.

If a right triangle has a 33 degree angle across from the short leg, what angle measure is across from the long leg?

a)

90

b)

33

c)

147

d)

57

19.

How many solutions does a set of parallel lines have?

a)

one solution

b)

no solution

c)

infinitely many solutions

d)

two solutions

20.

What is 0.0008 in scientific notation?

a)

$8\times10^{-4}$

b)

$8\ \times10^4$

c)

$8\times10^3$

d)

$8\times10^{-3}$

21.

What is the $\sqrt[]{16}$ ?

a)

8

b)

2

c)

4

d)

5

22.

What is $\sqrt[]{100}$ ?

a)

10

b)

100

c)

$5\sqrt[]{4}$

d)

1

23.

How many solutions does a set of intersecting lines have?

a)

one solution

b)

no solution

c)

infinitely many solutions

d)

two solutions

24.

What is $5.6\times10^{-4}$ in standard form?

a)

0.000056

b)

56,000

c)

560,000

d)

0.00056

25.

Solve for x:

-5x = 0

a)

-5

b)

5

c)

0

d)

$-\frac{5}{0}$

26.

What is $\sqrt[]{300}$

a)

30

b)

$10\ \sqrt[]{3}$

c)

$3\ \sqrt[]{10}$

d)

$5\ \sqrt[]{12}$

27.

If a triangle has the angle measures of 60 degrees and 80 degrees, what is the third angle?

a)

180

b)

60

c)

140

d)

40

28.

What type of slope does a horizontal line have?

a)

positive slope

b)

negative slope

c)

no slope

d)

zero slope

29.

What is the y- intercept of the equation y = 2 - x?

a)

2

b)

1

c)

-1

d)

-2

30.

What is the slope of the equation y = 2 - x?

a)

2

b)

1

c)

-1

d)

-2

31.

Simplify $\frac{m^{-10}}{m^{-5}}$ . Your answer should only contain positive exponents.

a)

$m^{-5}$

b)

$\frac{1}{m^{-5}}$

c)

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

d)

$m^5$

32.

a)

Discrete

b)

Continuous

c)

neither

33.

a)

Discrete

b)

Continuous

c)

neither

34.

a)

Discrete

b)

Continuous

c)

neither

35.

a)

discrete

b)

continuous

c)

neither

36.

a)

Discrete

b)

Continuous

c)

neither

37.

a)

Discrete

b)

Continuous

c)

neither

38.

a)

Discrete

b)

Continuous

c)

neither

39.

a)

Discrete

b)

Continuous

c)

neither

40.

a)

Discrete

b)

Continuous

c)

neither

41.

a)

Discrete

b)

Continuous

c)

neither

42.

a)

Discrete

b)

Continuous

c)

neihter

43.

a)

Discrete

b)

Continuous

c)

neither

44.

a)

Discrete

b)

Continuous

c)

neither

45.

a)

Continuous

b)

Discrete

c)

Neither

46.

How did you study for your test?

4 lines

47.

Which numbers below are equivalent to 4.2? Select all that apply.

a)

0.042%

b)

420%

c)

$\frac{21}{5}$

d)

$\frac{21}{50}$

48.

$How\ would\ you\ write\ 12\frac{1}{2}\%\ as\ a\ decimal?\$

a)

12.5

b)

1.25

c)

0.125

d)

125

49.

$How\ would\ you\ write\ 3\frac{1}{2}\ as\ a\ percent?$

a)

0.035%

b)

0.35%

c)

3.5%

d)

35%

e)

350%

50.

What is 19% of 140?

a)

736.8

b)

26.6

c)

28

d)

74

51.

73.7 is 55% of what number?

a)

134

b)

40.5

c)

74.6

d)

0.134

52.

Would you rather...

a)

Have hands instead of feet

b)

Feet instead of hands

53.

46 is what percent of 65? (Round your answer to the nearest tenth of a percent.)

a)

141.3%

b)

70.7%

c)

70.8%

d)

141%

54.

On a quiz, you answered 38 questions correctly out of 43. What percent did you answer correctly? (Round your answer to the nearest percent.)

a)

13%

b)

113%

c)

90%

d)

88%

55.

9.75 is what percent of 65?

4 lines

56.

What is the percent of change from $22 to $18?

(a)

57.

The population of your school changed from 847 students last year to 974 this year. What is the percent of change?

(a)

58.

Would you rather...

a)

Live in an amusement park

b)

Live in a zoo

59.

How much will you pay for a $40 game if you have a coupon for 22% off?

(a)

60.

Sales tax in NJ is 6.625%, how much tax will you pay for a $55 purchase?

(a)

61.

Your bill at a restaurant is $45. If you pay 7% tax and leave an 18% tip, how much money do you spend?

(a)

62.

What is the better deal on a $50 video game?

Deal #1 is a 20% discount followed by a second discount of 15%.

Deal #2 is one 35% discount.

Explain how you determined your answer.

4 lines

63.

On the first day of school, a teacher survey the students in five classes to see where they traveled during their summer break. Each student chose only one location. The table shows the number of students from each class who chose each location. Determine the percentages of students in each class who went to an amusement park. What is the order from least to greatest of the percentages for each class? (List the letters with one space in between each)

(a)

64.

Would you rather...

a)

Be unknown and rich

b)

Be famous and poor

65.

The surround sound system you want to buy is $799. Next week it will be on sale for 38% off. Is this advertisement correct to the nearest tenth of a percent? Explain.

4 lines

66.

How much will you end up spending if you buy the system next week for 38% off and pay 7% sales tax?

(a)

67.

Each bulleted statement describes how the amount of income tax is determined for yearly incomes in different ranges.

Ken's yearly taxable income is $34,500. What is the dollar amount taken out for taxes based on Ken's income?

(a)

68.

Each bulleted statement describes how the amount of income tax is determined for yearly incomes in different ranges.

Terri’s taxable income is $25 each hour before taxes are taken out. Terri worked a total of 40 hours each week for 50 weeks. What is the dollar amount taken out for taxes based on Terri’s taxable income?

(a)

69.

a)

Every question is answered.

b)

I have numbered my work.

c)

I showed my thinking/work for EVERY question.

d)

I will attach a clear photo/scan of my work right now!

e)

We're watching "Home!"

70.

When combining like terms we need to only combine terms with the same ...

a)

variable pattern

b)

coefficient

c)

constant

d)

integer

71.

Combine like terms:

4x + 5y + 3x + 10y

a)

8x + 10y

b)

x + y

c)

9xy + 13xy

d)

7x + 15y

72.

What would come next in the sequence?

4, 7, 10, 13, ____

a)

12

b)

16

c)

14

d)

17

73.

What is the rule for the following sequence?

10, 8, 6, 4, ___

a)

Add -2

b)

Add 2

c)

Add 3

d)

Add -4

74.

Add.

(3x + 7) + (2x - 9)

a)

5x - 16

b)

5x + 2

c)

5x - 2

d)

5x + 16

75.

Add.

(-3x + 5) + (-7x + 12)

a)

-10x + 17

b)

-4x + 17

c)

10x + 17

d)

4x - 17

76.

Subtract.

(10x - 5) - (3x + 6)

a)

7x - 1

b)

13x + 11

c)

7x - 11

d)

13x - 1

77.

Bonus Question:

Who is the main character in the movie Ratatouille?

a)

Ratatouille

b)

Remy

c)

Colette

d)

Anton Ego

78.

Subtract:

(-5x + 8) - (3x + 5)

a)

-8x + 3

b)

-8x - 3

c)

-8x + 13

d)

8x - 3

79.

What is the GCF of:

45 and 15

a)

5

b)

3

c)

15

d)

45

80.

What is the GCF of:

12x and 30xy

a)

3x

b)

6

c)

6x

d)

9

81.

What is the GCF:

36gx and 17

a)

17

b)

6x

c)

5x

d)

cannot be factored

82.

Add:

(-6x - 15) + (3x - 12)

a)

-9x + 3

b)

-3x - 27

c)

-10x - 3

d)

3x + 27

83.

Off topic:

What is the capitol of Pennsylvania?

a)

Philadelphia

b)

Pittsburgh

c)

Hershey

d)

Harrisburg

84.

Factor the expression:

(5x + 10)

a)

cannot be factored

b)

5(x + 2)

c)

10(2x + 1)

d)

5(2x + 1)

85.

Factor the expression:

12x - 15

a)

2(6x - 7)

b)

12(x - 3

c)

6(2x - 3)

d)

3(4x - 5)

86.

Use the distributive property to rewrite:

4(x + 2)

a)

4x + 2

b)

4x + 8

c)

4x - 2

d)

4(x + 2)

87.

What year did the first corvette come out?

a)

1953

b)

2003

c)

1973

d)

1873

88.

Simplify the expression:

3x - (4x + 1) - 10

Remember to distribute the negative!

a)

-7x + 11

b)

-x - 11

c)

x - 9

d)

7x - 9

89.

Add:

(3x - 13) + (4x + 11) + (-6x + 3)

a)

13x - 27

b)

13x + 27

c)

x - 1

d)

x + 1

90.

Use the distributive property to simply the expressions below:
3(x + 10)

a)

3x + 10

b)

3 + x + 10

c)

x + 30

d)

3x + 30

91.

Use the distributive property to simply the expressions below:
-2(x + 5)

a)

-2x + (-10)

b)

-2x + 5

c)

2x + 10

d)

2x + 5

92.

Use the distributive property to simply the expressions below:
5(2x - 7)

a)

2x - 7

b)

10x - 35

c)

2x - 35

d)

10x + 35

93.

Use the distributive property to simply the expressions below:
3x(3 + 10)

a)

9x + 30x

b)

39x

c)

9x + 10x

d)

3x + 30

94.

Use the distributive property to simply the expressions below:
4x + 2(x + 1)

a)

6x + 2

b)

4x + 2x + 2

c)

6x + 1

d)

8x + 2x + 2

95.

Use the distributive property to simply the expressions below:
2(4 + 9w)

a)

8 + 9w

b)

8 + 18w

c)

4 + 18w

d)

2 + 4 + 9w

96.

Use the distributive property to simply the expressions below:
-2(6n + 3)

a)

-12n + 3

b)

-12n + (-6)

c)

-12n - 2

d)

-12n + (-3)

97.

Use the distributive property to simply the expressions below:
4(r + 4) - r

a)

4r + 16 - r

b)

4r + 4

c)

4r + 16r

d)

3r + 16

98.

Use the distributive property to simply the expressions below:
-2(5 + 3q)

a)

10 + 6q

b)

-10 + (-6q)

c)

-10 + 3q

d)

-2 + 5q + 3q

99.

Use the distributive property to simply the expressions below:
4t(3 + 2)

a)

12t + 8t

b)

12t - 8t

c)

20t

d)

12t + 2

100.

Three times a number increased by nine

a)

3h-9

b)

3(h-9)

c)

3(h+9)

d)

3h+9

101.

74 increased by 3 times y

a)

74 - 3y

b)

74/3y

c)

74 + 3y

d)

3y - 74

102.

2 times b to the third power

a)

2b²

b)

b2³

c)

2b³

d)

2 + b³

103.

4m³

a)

a number cubed plus 4

b)

4 divided by 3 times a number

c)

4 times a number times 3

d)

4 times a number cubed

104.

c²+21d

a)

c squared plus 21 times d

b)

2 times c and 21 times d

c)

The sum of 21 and d times the sum of c and 2

d)

21 squared times d and a number c

105.

Evaluate the expression: 2⁶

a)

6 x 6=36

b)

2 x 2 x 2 x 2 x 2 x 2=64

c)

2 + 2 + 2 + 2 + 2 + 2=12

d)

2 x 6=12

106.

Evaluate the expression: 4³

a)

3 x 3 x 3 x 3=81

b)

4 x 3=12

c)

4 + 3 + 4=11

d)

4 x 4 x 4= 64

107.

Solve:

6 + 4 - 2 ^.3

a)

9

b)

4

c)

24

d)

12

108.

48 / 2³ ^.3 + 5

a)

32

b)

41

c)

23

d)

9

109.

(8-3) ^.3(3+2)

a)

64

b)

56

c)

3

d)

75

110.

When g=4, h=6, j=8, k=12

hk-gj

a)

40

b)

9

c)

63

d)

21

111.

When g=4, h=6, j=8, k=12

2k + gh² - j

a)

160

b)

120

c)

93

d)

148

112.

Give the solution set for 4a + 5 =17, when the replacement set is [0,3,5,8,10]

a)

[6]

b)

[5]

c)

[5,8]

d)

[3]

113.

Give the solution set for 16(x+2)=70.4 , when the replacement set is [2.2, 2.4, 2.6, 2.8]

a)

[2.2, 2.4]

b)

[2.4]

c)

[2.2]

d)

[2.6]

114.

Give the solution set for a-2<6, when the replacement set is [6,7,8,9,10,11]

a)

[6,7]

b)

[6,7,8,9,10,11]

c)

[6,7,8]

d)

[10,11]

115.

Solve for t:

14.8 - 3.75 = t

a)

11

b)

9

c)

11.05

d)

4.6

116.

Solve for a:

a=32.4 - 18.95

a)

12.96

b)

13.45

c)

3.45

d)

33.45

117.

This is an example of which property:

5+0=5

a)

Multiplicative Identity

b)

Additive Inverses

c)

Additive Identity

d)

Multiplicative Property of Zero

118.

This is an example of which Property:

8 ^.1 = 8

a)

Multiplicative Identity

b)

Multiplicative Inverses

c)

Substitution

d)

Multiplicative Property of Zero

119.

This is an example of which Property:

9 ^.0 = 0

a)

Multiplicative Identity

b)

Additive Identity

c)

Multiplicative Property of Zero

d)

Multiplicative Inverses

120.

This is an example of which Property:

1/3 ^.3 = 1

a)

Multiplicative Identity

b)

Multiplicative Inverses

c)

Additive Identity

d)

Reflexive

121.

Any quantity is EQUAL to itself. (7=7)

**Used to balance an equation

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Substitution

122.

If 9=6+3, then 6+3=9 too!

a)

Reflexive

b)

Transitive

c)

Symmetric

d)

Substitution

123.

If 8 + 4 = 5 + 7, and 5 + 7 equals 12, then that means 8 + 4=12.

**It's almost like the fact "transfers" the same answer.

a)

Reflexive

b)

Symmetric

c)

Transitive

d)

Substitution

124.

If n=15, then 3n=3^.15. I am replacing the n with 15.

a)

Symmetric

b)

Transitive

c)

Reflexive

d)

Substitution

125.

Rewrite using the Distributive Property then simplify.

6(12-2)

a)

60

b)

20

c)

18

d)

64

126.

Rewrite using the Distributive Property then simplify.

2(4 + t)

a)

8t + 2

b)

8 + 8t

c)

8 + 2t

d)

24 + 2t

127.

Simplify by combining like terms:

5(6m + 4n - 3n)

a)

35m +4n -15n

b)

30m + 20n - 15n

c)

30m + 5n

d)

35mn

128.

4y³+ 3y³ + y⁴

a)

7y⁶+ y⁴

b)

12y³+ y⁴

c)

8y³y⁴

d)

7y³+ y⁴

129.

The way I order numbers will not change the answer

a)

Communative

b)

Associative

130.

The way I group numbers will not change the answer

a)

Commutative

b)

Associative

131.

Simplify:

4(a +b) + 2(a + 2b)

a)

(4 + 2)a + (4+4)b

b)

6a + 6b

c)

a⁴ + b⁶

d)

4a + 2a + 4b + 4b

132.

Simplify:

6x + 2(2x + 7)

a)

10x + 14

b)

14x + 10

c)

2x² + 14

d)

6x + 4x + 14

133.

What is the hypothesis?

"If 4x + 3 > 27, then x>6"

a)

4x + 3 > 27

b)

x > 6

134.

What is the conclusion?

"If 4x + 3 > 27, then x>6"

a)

4x + 3 > 27

b)

x>6

135.

Which of the following could be a counterexample?

"If you are using the internet, then you have a computer"

a)

I have a bike, so I can run a marathon

b)

I have a computer and the internet

c)

I use the computer at the library when I need internet.

136.

Which of the following is a counterexample?

"If you are a professional baseball player, then you are from the United States."

a)

I am 5 foot 2 inches and play baseball.

b)

I have cleats, so I play baseball.

c)

The Yankees are from New York.

d)

Mariano Rivera is from the country of Panama and plays for the New York Yankees.

137.

What is the sum of 14 and x?

a)

x - 14

b)

14x

c)

14 + x

d)

14 - x

138.

What is a number decreased by seventeen?

a)

n + 17

b)

n - 17

c)

17 + n

d)

17 - n

139.

Which expression is

twice h increased by 5?

a)

5h²

b)

h² + 5

c)

5h + 2

d)

2h + 5

140.

What is 5 less than the product of 6 and s?

a)

6s - 5

b)

5 - 6s

c)

5s - 6

d)

6 - 5s

141.

Simplify

6 - 2 ⋅ 5

a)

-4

b)

-20

c)

20

d)

4

142.

Simplify

(3 + 4)² - 32

a)

7

b)

-13

c)

17

d)

-7

143.

Simplify

[(2 x 5 + 3) - 1] x 2

a)

24

b)

12

c)

8

d)

1

144.

Simplify

15 + 7 × 2 – 11 + 35

a)

68

b)

251

c)

53

d)

50

145.

Simplify

10 + 45 ÷ 9 - (14 ÷ 2) =

a)

9

b)

8

c)

53

d)

18

146.

Simplify the following:

-2(8 + 8 ÷ 4)²

a)

-32

b)

-17

c)

-12

d)

-200

Question Bank for Grade 8 Mathematics

Total questions: 146

Worksheet time: 4hrs 10mins

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