Free Printable Question Bank for Grade 8 Mathematics

1.

Simplify the expression below. $\frac{\left(5x^2\right)\left(8y^3\right)}{\left(40x^3y^2\right)}$

a)

$\frac{(30x^2y^3)}{(40x^3y^2}$

b)

$\frac{(6x^5y^5)}{7}$

c)

$\frac{y}{x}$

d)

$\frac{6y}{8x}$

2.

Which expression is equivalent to $\left(\frac{2}{3}\right)^{-3}\ ^{ }\left(\frac{1}{3}\right)^{-2}$

a)

$\frac{3}{2}\times\frac{3}{2}\times\frac{3}{2}\times3\times3$

b)

$\frac{2}{3}\times\frac{2}{3}\times\frac{2}{3}\times\frac{2}{3}\times3\times3$

c)

$\frac{2}{3}\times3\times\frac{1}{3}\times\left(-2\right)$

d)

$\frac{2}{3}\times\frac{2}{3}\times\frac{2}{3}\times\frac{2}{3}\times(-\frac{1}{3})\times(-\frac{1}{3})$

3.

Which expression is equal to 40,000?

a)

$\frac{(2^7∙5^2)}{(2^4∙5^4)}$

b)

$\frac{(2^9∙5^8)}{(2^3∙5^4)}$

c)

$\frac{(2^{10}∙5^7)}{(2^8∙5^5)}$

d)

$\frac{(2^7∙3^6)}{(2^2∙3^4)}$

4.

The predicted ticket sales for the opening weekend of two football games are

$1.8\times10^7$ tickets for game Y and $4.5\times10^6$ tickets for game Z. According to this prediction, how many more tickets will be sold for game Y than for game Z? The predicted ticket sales for the opening weekend of two football games are

tickets for game Y and tickets for game Z. According to this prediction, how many more tickets will be sold for game Y than for game Z?

a)

2.5 times as many

b)

4 times as many

c)

0.4 times as many

d)

0.25 times as many

5.

Which expression shows the product of $1500,000$ and $1.2\times10^3$ ?

a)

$1.8\ \times10^{18}$

b)

$1.8\ \times10^{10}$

c)

$1.8\ \times10^9$

d)

$1.8\ \times10^{21}$

6.

Which expression represents the quotient below?

$\frac{4.6\times10^5}{23,000}$

a)

$2\times10^0$

b)

$2\times10^{-1}$

c)

$2\times10^1$

d)

$2\times10^{-30}$

7.

A country in Asia has a population of $4.5\times10^7$ people. A neighboring country has a population of $2.6\times10^8$ people. What is the total population of the two countries?

a)

$3.05\times10^8\ people$

b)

$7.1\times10^8\ people$

c)

$7.1\times10^{13}\ people$

d)

$3.05\times10^{13}\ people$

8.

The largest marine animal is the blue whale, with an average mass of about $1.7\ \times10^4$ kg. The largest land animal ever is thought to be a dinosaur that had a mass of about $8\times10^3$ kg. What is the approximate difference in mass between these two animals?

a)

$6.3\ \times10^1kg$

b)

$9\ \times10^1kg$

c)

$6.3\ \times10^3kg$

d)

$9\ \times10^3kg$

9.

Which expression is equivalent to $\frac{10^5\times10^4\times10^0}{10^{10}}$

a)

$10^{-1}$

b)

$10^{-2}$

c)

$10^{-3}$

d)

$10^{-4}$

10.

Which statements are true? Select TWO that apply.

a)

$\ 6^9\cdot6^{-4}\cdot6^{-5}=\ 6$

b)

$-7^5\cdot-7^3\cdot-7^{-5}=7^3$

c)

$\ \left(3^2\cdot3^{-4}\right)^2=\frac{1}{81}$

d)

$\ 5^{-3}\cdot\left(5^{-2}\right)^2\ =\left(\frac{1}{5}\right)^3$

e)

$4^{-10}\cdot4^7\ =\frac{1}{64}$

11.

The mass of the Sun is approximately $2\times10^{10}$ kilograms. The mass of Venus is approximately $5\times10^6$ kilograms. About how many times greater is the mass of the Sun than the mass of Venus?

a)

25,000

b)

40,000

c)

250,000

d)

4,000

12.

The total attendance for all of a soccer league in 2020 was about $7.5\times10^8$ fans, while the attendance for the Tornadoes in 2020 was about $1.5\times10^7$ fans. About how many times more was the attendance for the entire soccer league than the attendance for just the Tornadoes?

a)

2 times

b)

5 times

c)

10 times

d)

50 times

13.

The average mass of a lion is approximately $4\times10^2$ kilograms.

The average mass of a blue whale is approximately $2\times10^5$ kilograms.

About how many times more mass does a blue whale have than a lion?

a)

$2\times10^7$

b)

$5\times10^2$

c)

$2\times10^3$

d)

$5\times10^3$

14.

An expression is shown. $\frac{\left(8\times10^4\right)-\left(4\times10^4\right)}{2\times10^9}$

Which expression is equivalent?

a)

$2\times10^{-5}$

b)

$2\times10^9$

c)

$2\times10^{-8}$

d)

$2\times10^{-13}$

15.

An expression is shown . $\left(7.0\times10^9\right)+\left(1.2\times10^5\right)\times\left(5.0\times10^4\right)$

Which expression is equivalent ?

a)

$1.3\times10^8$

b)

$1.3\times10^9$

c)

$4.1\times10^{16}$

d)

$4.1\times10^{17}$

16.

Which statement explains how to simplify $(12^3)^4?$ ?

a)

Divide the first exponent by the second & keep the base the same.

b)

Add the exponents & keep the base the same.

c)

Subtract the second exponent from the first & keep the base the same.

d)

Multiply the exponents & keep the base the same.

17.

Which answer choice is an equivalent expression of $4^4\times4^5?$

a)

$4^{20}$

b)

$4^{-1}$

c)

$4^9$

d)

$4^1$

18.

Which answer choice is an equivalent expression of $\frac{9^7}{9^9}$

a)

$9^{16}$

b)

$9^2$

c)

$\frac{1}{9^2}$

d)

$\frac{1}{9^{-2}}$

19.

Which answer choice is an equivalent expression of $(-3^5)^0$

a)

1

b)

$(-3^{ })^5$

c)

$(3^{ })^0$

d)

$-1$

20.

Which answer choice is an equivalent expression of $(6^{-2})^7$ ?

a)

$\frac{1}{6^{14}}$

b)

$6^{14}$

c)

$6^5$

d)

$6^{-5}$

21.

Which answer choice is an equivalent expression of $\frac{5^{10}}{5^6}$

a)

$5^{16}$

b)

$5^{-4}$

c)

$\frac{1}{5^4}$

d)

$5^4$

22.

Which answer choice is an equivalent expression of $14^3\times14^8?$

a)

$14^{11}$

b)

$14^5$

c)

$14^{-5}$

d)

$14^{24}$

23.

Which answer choice is an equivalent expression of $7a^{-5}b^3$

a)

$7ab^{15}$

b)

$\frac{b^3}{7a^5}$

c)

$\frac{7b^3}{a^5}$

d)

$7a^5b^{-3}$

24.

Simplify the expression, keeping the answer in exponential notation.

$\left(4x^5\right)\left(2x^8\right)$

a)

$8x^5\cdot x^8$

b)

$6x^{13}$

c)

$8x^{13}$

d)

$8x^{40}$

25.

Using the rules of exponents, simplify the following expression. Your answer should be in exponential form $\frac{7^3\cdot5^6}{7^{ }\cdot5^2}$

a)

$7^3\cdot5^2$

b)

$7^4\cdot5^3$

c)

$7^2\cdot5^4$

d)

$7^3\cdot5^4$

26.

Simplify: $\left(4x^4y^{-4}\right)^3$

a)

$\frac{64x^{12}}{y^{12}}$

b)

$64x^7y^{-1}$

c)

$\frac{4x^{12}}{y^{12}}$

d)

$64x^{12}y^{12}$

27.

Zero Exponent Law states that _____ becomes a 1.

a)

the exponent

b)

the base

c)

nothing

d)

the whole term

28.

x² * x² * x² * x²

a)

2 * 2 * 2 * 2

b)

x¹⁶

c)

x⁸

d)

2(x * x * x * x)

29.

(x⁶)³

a)

x⁹

b)

x²

c)

x⁶

d)

x¹⁸

30.

(4x³)²

a)

8x⁵

b)

8x⁶

c)

16x⁵

d)

16x⁶

31.

Which number is the BASE?
2³= 8

a)

2

b)

3

c)

8

32.

Which number is the EXPONENT?
4^{2 =}16

a)

4

b)

2

c)

16

33.

Which is GREATER?
2⁷ or 7²

a)

2⁷

b)

7²

c)

Neither, they are equal

34.

How do you correctly say 4³

a)

4 squared

b)

3 quadrupled

c)

4 cubed

d)

4 to the power of 2

35.

What special word do you use for the exponent of 2?

a)

squared

b)

cubed

c)

triangled

d)

boxed

36.

Find the value (standard form) of the power.
3³

a)

9

b)

6

c)

27

d)

12

37.

How do you write 2 x 2 x 2 x 2 with an exponent?

a)

4²

b)

2⁴

c)

2²

38.

Find the equivalent expression.
15×15×15×15

a)

15⁴

b)

4¹⁵

c)

15x4

d)

15+15+15+15

39.

Which is equivalent to 3⁴

a)

3 x 4

b)

4 x 3

c)

3 x 3 x 3 x 3

d)

4 x 4 x 4

40.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 ?

a)

7⁵

b)

7⁶

c)

6⁷

d)

7⁷

41.

Keyna and Alaysia both babysit. Keyna earns $75 for 10 hours of babysitting and $30 for 4 hours of babysitting. Andeana charges a set fee of $5 plus an amount per hour. Her fee in dollars, F, for h hours of babysitting is given by the equation

F =3h+5.

Which statement is true?

a)

Andeana charges $10.00/hour, which is higher than Keyna’s hourly rate.

b)

Keyna charges $7.50/hour, which is higher than Andeana’s hourly rate.

c)

Andeana charges $7.00/hour, which is higher than Keyna’s hourly rate.

d)

Keyna charges $7.00/hour, which is equal to Andeana’s hourly rate.

42.

Which of the following relations between input numbers and output numbers are functions?

a)

b)

c)

d)

43.

Which of the following relations between input numbers and output numbers are NOT functions?

a)

b)

c)

d)

44.

Which of the following sets of coordinates represents a function?

a)

{(−3,23), (0,12), (10,−5),(0,4)}

b)

{(2.5,17),(9.4,−5),(2,0.7),(10,1.3)}

c)

{(0,8), (−8.5,7), (3.1,9),(−8.5,10)}

d)

{(25,102), (26,34), (25,87), (26,38)}

45.

In Mr. Sosa's math class, students are studying functions. The tables show the relationship between the input and output values for each function. Which of these tables does not represent a function? Choose all that are correct.

a)

b)

c)

d)

e)

46.

Which of the ordered pairs is part of the graph below?

a)

(0,3)

b)

(1,3)

c)

(2,6)

d)

(6,11)

47.

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service.

Which service is cheaper for 8 movies in one month?

a)

A. Beth's service ($38 vs. $40) is cheaper

b)

A. Nate’s service ($42 vs. $44) is cheaper

c)

A. Nate’s service ($38 vs. $40) is cheaper

d)

A. Beth's service ($42 vs. $44) is cheaper

48.

Which graph represents a function that has an output value of 2 for the input value of 1?

Choose all that are correct.

a)

b)

c)

d)

e)

49.

A car dealer is comparing how quickly two kinds of car motor oil engines heat up. He records the change in the temperature (degrees Fahrenheit) of each car motor oil engine over time (minutes) in the same car traveling under the same conditions at the same speed.

The graph shows his results for the first car motor oil.

The table shows his results for the second motor oil engine

What conclusion can the car dealer make about the two

kinds of motor oil engine?

a)

The rate of temperature increase for the second motor oil is 3 °F greater than that of the first car motor oil engine.

b)

The rate of temperature increase for the second motor oil is 0.5 °F greater than that of the first car motor oil engine.

c)

The rate of temperature increase for the first motor oil is 3 °F greater than that of the second car motor oil engine.

d)

The rate of temperature increase for the first motor oil is 0.5 °F greater than that of the second car motor oil engine.

50.

Which of the following sets of coordinates represents a function?

a)

{(−3,23), (0,12), (10, −5), (0,4)}

b)

{(−2.5,2), (9.3,−5),(2,0.5),(−10,1.3)}

c)

{(0,8), (−8.5,7),(3.1,9),(−8.5,10)}

d)

{(25,102), (26,34), (25,87), (26,38)}

51.

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for 8 movies in one month?

a)

Beth's service ($38 vs. $40) is cheaper

b)

Nate’s service ($42 vs. $44) is cheaper

c)

Nate’s service ($38 vs. $40) is cheaper

d)

Beth's service ($42 vs. $44) is cheaper

52.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

53.

Find the rate of change

a)

3

b)

-3

c)

20

d)

Not a constant slope/Non-Linear

54.

What is the initial value in this equation?
y=8x+6

a)

8

b)

6

55.

What is the rate of change in the equation?
y=8x+6

a)

8

b)

6

56.

Tim bought a new phone. He paid $125 on the day of purchase, then $50 per month until it was paid off. What is the initial value in this situation?

a)

50

b)

125

57.

Tim bought a new phone. He paid $125 on the day of purchase, then $50 per month until it was paid off. What is the rate of change in this situation?

a)

50

b)

125

58.

Which function has the GREATEST rate of change?

a)

b)

c)

d)

59.

Which function has the GREATEST initial value?

a)

b)

c)

d)

60.

What is a possible scenario for the given table?

a)

You have $8 and get $5 more each day!

b)

You have $16 and get $2 more each day!

c)

You have $2 and get $6 more each day!

d)

You have $6 and get $2 more each day!

61.

What has the GREATER rate of change. y = 5x +15 OR the graph

a)

y = 5x + 15

b)

62.

What has the GREATER rate of change.

a)

y = 7x + 10

b)

Someone who starts with $6 and gets $8 each day.

c)

y = 5x + 20

d)

Someone who starts with $8 and gets $6 each day.

63.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

64.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

65.

Is the graph pictured a linear or nonlinear function?

a)

Linear

b)

Nonlinear

66.

Is the equation linear or nonlinear?

a)

Linear

b)

Nonlinear

67.

Is the equation linear or nonlinear?

a)

Linear

b)

Nonlinear

68.

Is the table linear or nonlinear?

a)

Linear

b)

Nonlinear

69.

Is the function linear or nonlinear?
y = x² + 7

a)

Linear

b)

Nonlinear

70.

Is the function linear or nonlinear?
y = ⅓ x

a)

Linear

b)

Nonlinear

71.

a)

F

b)

G

c)

H

d)

J

72.

a)

F

b)

H

c)

G

d)

I

73.

The Pythagorean Theorem is (a) (b) (c) (d) (e)

Choose from the below words

$a^2$

$+$

$b^2$

$=$

$c^2$

$x^2$

$-$

$\times$

$\div$

74.

What letter represents the hypotenuse?

a)

a

b)

b

c)

a and b

d)

c

75.

Hypotenuse

a)

Vertical side in a right triangle

b)

Longest side in a right triangle

c)

Horizontal side in a right triangle

d)

a²+ b²= c²

76.

Which choice represents the legs?

a)

a and b

b)

a

c)

b

d)

c

77.

What is the final step in solving this work for c?
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
25 = c²

a)

Divide both sides by 2

b)

Take the square root of both sides

78.

The Pythagorean Theorem is

a² - b² = c²

a)

false

b)

true

79.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

80.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

81.

Side a on a right triangle is ALWAYS the longest side

a)

true

b)

false

82.

If you are solving to find a missing leg, should you add or subtract?

a)

Add

b)

Subtract

83.

If you are solving to find a missing hypotenuse, should you add or subtract?

a)

Add

b)

Subtract

84.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

85.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

86.

Find the distance between these two points.

a)

13

b)

7.9

c)

9.2

d)

3.6

87.

Draw a right triangle and label the sides using: Leg, Leg, Hypotenuse

88.

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

89.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

90.

a)

Function

b)

Not a Function

91.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

92.

Is this table a function or not a function?

a)

Function

b)

Not a Function

93.

Is this table a function or not a function?

a)

Function

b)

Not a Function

94.

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)

95.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

96.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

97.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

98.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

99.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

100.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

101.

f(x)=2x+1
If f(x)=4, what is the value of x?

a)

3/2

b)

2

c)

1/2

d)

4

102.

Give the domain and range. Tell if it is a function.

a)

D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function

b)

D: {-4, -2, 0, 2}
R: {-2, 1}
Function

c)

D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function

d)

D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function

103.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

104.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

105.

Which of these is NOT the same

a)

Range

b)

Input

c)

Dependent Value

d)

Y-Value

106.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

107.

What is the range of the following relation:
(9, -2) (4, 3) ( 8, 10) ( -4, 8)

a)

-4, 4, 8, 9

b)

-2, 3, 8, 10

c)

(9, -2) ( 4, 3)

d)

(8, 10) (-4, 8)

108.

x - 8 = -5

a)

13

b)

-13

c)

3

d)

-3

109.

7. -4y = 48

a)

x = -52

b)

x = -12

c)

x = -44

d)

x = -13

110.

x + 12 = 20

a)

x = 32

b)

x = -32

c)

x = 8

d)

x = -8

111.

how would you solve this equation: 9x=153?

a)

multiply

b)

divide

c)

add

d)

subtract

112.

Which equation has x = 5 as the solution?

a)

x + 15 = 10

b)

2x = 5

c)

2x = 10

113.

What is the first step to solve this equation:
11 - 3x = 44

a)

Add 3 to both sides

b)

Subtract 11 from both sides

c)

Add 11 to both sides

d)

Divide 3 on both sides.

114.

3c + 5 = 23

a)

c = 3

b)

c = 6

c)

c = 7

d)

c = 18

115.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

116.

What is the solution of 6d = 24

a)

d = 4

b)

d = 5

c)

d = 18

d)

d = 144

117.

Solve for x:

a)

x = 20

b)

x = 7

c)

x = 10

d)

x = 3

118.

15 = 2a + 7

a)

2

b)

4

c)

12

d)

14

119.

6 - 3a = 21

a)

a= 9

b)

a= -9

c)

a= -5

d)

a= 5

120.

Solve 2x - 3 = 1

a)

3

b)

2

c)

1

d)

-2

121.

6. -3x + 5 = -13

a)

x = -5

b)

x = 2

c)

x = -6

d)

x = 6

122.

Solve -4x + 1 = 21

a)

x=120

b)

x=5

c)

x=30

d)

x=-5

123.

Solve 8 = 4v + 12

a)

-1

b)

1

c)

0

d)

-10

124.

$2x+11=23$

a)

x = 6

b)

x = 12

c)

x = 17

d)

x = 2

125.

$4x-16=48$

a)

x = 12

b)

x = 18

c)

x = 16

d)

x = 1

126.

$\frac{x+23}{4}=8$

a)

x = 19

b)

x = 55

c)

x = 4

d)

x = 9

127.

$\frac{x}{3}-7=19$

a)

x = 96

b)

x = 78

c)

x = 36

d)

x = 5

128.

$-3x-18=-63$

a)

x = 27

b)

x = -81

c)

x = 9

d)

x = 15

129.

$\frac{x-17}{5}=5$

a)

x = 25

b)

x = 42

c)

x = 8

d)

x =1

130.

$-x+10=-18$

a)

x = 9

b)

x = -8

c)

x = 28

d)

x = -12

131.

$\frac{1}{4}x+12=-9$

a)

x = -84

b)

x = 36

c)

x = -21

d)

x = 12

132.

$\frac{x}{7}-12=8$

a)

x = 28

b)

x = 140

c)

x = 14

d)

x = -3

133.

$\frac{1}{5}x-19=-8$

a)

x = -55

b)

x = -11

c)

x = 5

d)

x = 55

134.

Does this mapping diagram represent a function?

a)

No, because an input value goes to multiple output values

b)

Yes, because each input goes to one and only one output

135.

a)

Yes

b)

No

136.

Which set of ordered pairs 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)}

137.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

138.

a)

Function

b)

Not a Function

139.

Is this mapping a function or not a function?

a)

Function; the x's don't repeat

b)

Not a Function; the x's repeat

140.

Which of these sets is not a function?

a)

{ (2,3) , (3,5) , (4,9) }

b)

{ (2,3) , (2,5) , (4, 9) }

c)

{ (2,3) , (3,3) , (4,9) }

141.

Does this mapping represent a function?

a)

Yes

b)

No

142.

Do these ordered pairs represent a function?

a)

Yes

b)

No

143.

Does this table represent a function?

a)

Yes

b)

No

144.

Does this mapping represent a function?

a)

Yes

b)

No

145.

Does this table represent a function?

a)

Yes

b)

No

146.

Does this mapping represent a function?

a)

Yes

b)

No

147.

Do these ordered pairs represent a function?

a)

Yes

b)

No

148.

Does the table represent a function?

a)

Yes

b)

No

149.

Does this mapping represent a function?

a)

Yes

b)

No

150.

Do these ordered pairs represent a function?

a)

Yes

b)

No

151.

Does this mapping represent a function?

a)

Yes

b)

No

152.

Do these ordered pairs represent a function?

a)

Yes

b)

No

153.

Does this mapping represent a function?

a)

Yes

b)

No

154.

The total cost of purchasing x cups of coffee at each of the two competing coffee shops is represented by the graph and by the equations shown below;

Which statements accurately compare costs for the two coffee shops? Choose ALL that are correct.

a)

For 10 cups of coffee sold, the total cost at Coffee shop A is $2.50 less than the total cost at Coffee shop B.

b)

For 8 cups of coffee sold, the total cost at either coffee shop is 20.

c)

The price of a cup of coffee at each shop is the same.

d)

Coffee shop A has the most expensive coffee.

e)

Coffee shop B has the most expensive coffee.

155.

Alexander and Smith both have part-time jobs where they get paid by the hour. Smith makes more than Alexander.

The number of dollars, d, Alexander makes in h hours can be modeled by the equations d = 7.5h.

Smith created a graph; with the number of hours, he works along the x-axis and the number of dollars he makes along the y-axis. His graph is a line with a slope of 7 and a y-intercept is 0. Which is a true statement?

a)

Smith’s graph is incorrect because the slope should be greater than 7.5.

b)

Smith’s graph is incorrect because the y-intercept should be greater than 7.5

c)

Smith’s graph is correct because the slope should be less than 7.5.

d)

Smith’s graph is correct, because the y-intercept should be less than 7.5.

156.

Marissa’s dance studio charges a monthly fee, plus a fixed amount per class. The line shows the cost, y, for x classes taken. What is an equation for the line in slope-intercept form?

a)

y = 20x + 10

b)

y = 10x + 20

c)

y = 20x - 10

d)

y = 10x – 20

157.

The growth in earnings for a digital music service is shown in the graph below.

Choose ALL the statements that are true.

a)

The digital music service initial earnings were 5 million dollars.

b)

The digital music service initial earnings were 2.5 million dollars.

c)

The digital music service increases its earnings by 5 million dollars per quarters of a year.

d)

The digital music service increases its earnings by 2.5 million dollars per quarters of a year.

e)

The digital music service earnings, y, in millions of dollars, after x quarters of a year is given by y = 5x + 2.5

158.

Solve.

2(19 – c) = 2(6c + 2) + 3c

a)

$2\frac{1}{4}$

b)

2

c)

$2\frac{3}{7}$

d)

-2

159.

How many solutions does 9x -18 = 3(3x -6) have?

a)

Infinitely many solutions

b)

No solution

c)

One solution

d)

Two solutions

160.

Select ALL equations that DO NOT have infinitely many solutions.

a)

5x + 10 = 5x + 20

b)

4 (2x – 5) = 8x – 20

c)

5x + 8 – x = 20 + 4x – 12

d)

15x – (10 + 5x) = 20x – 10

161.

What is the solution of the equation?

$\frac{1}{3}(6z+7.2)=0.5(8z+2)-0.4$

a)

z = 0.8

b)

z = 0.9

c)

z = 2.8

d)

z = 3.6

162.

Jeremiah and Darren both collect baseball cards. Jeremiah starts with 11 cards and collects 3 cards each week.

Darren starts with 5 cards and collects 4 each week. Which statement about the number of weeks it will take Jeremiah and Darren to collect the same number of cards is true?

a)

The boys will collect the same number of cards at two different weeks.

b)

The boys will never collect the same number of cards.

c)

The boys will collect the same number of cards every week.

d)

The boys will collect the same number of cards at one week.

163.

Which point is a solution to the system of equations below?

$x=y+4$

$2x\ +2y=16$

a)

(2, 6)

b)

(-2, 6)

c)

(6, 2)

d)

(-6, -2)

164.

The following system of equations has no solution.

3x + y = 7

y = -3x – 5

When the lines are graphed on the same coordinate plane, they are

a)

perpendicular lines

b)

intersecting lines

c)

non-linear lines

d)

parallel lines

165.

A system of equations is given below.

10x +2y = -8

5x + y = -4

How many points of intersection do the graphs of these two equations have?

a)

0

b)

1

c)

2

d)

infinitely many

166.

Gary and Genevieve both plot lines on a coordinate grid.

Gary plots the function y = -3x + 4, and Genevieve plots the function y = 2x – 5. Which of these represents their lines as well as the solution of the system?

a)

b)

c)

d)

167.

A system of equations is shown below.

-2x – 4y = 24

6x – 8y = 28

What is the value of y for the solution to the system?

a)

-5

b)

-1

c)

1

d)

2

168.

Howard Middle School sold tickets to their next basketball game.

Tickets for adults were sold for $13 each, and tickets for children were $5 each.

A total of 348 tickets were sold and the total ticket sales was $6,345.

Select the equations that form a system of equations that can be used to solve for A, the number of adults’ tickets sold, and C, the number of children’s tickets sold.

a)

5A + 13C = 6,345

b)

5A + 13C = 348

c)

A + C = 348

d)

$\frac{(5+13)}{2}\times(A+C)=6,345$

169.

Is the graph proportional or non proportional?

a)

proportional

b)

non proportional

170.

Is the graph proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

171.

Which best describes the equation?
y = 75x

a)

Proportional

b)

Nonproportional

172.

Does the equation show a proportional relationship?

a)

Yes

b)

No

173.

What makes a graph proportional?

a)

Straight Line

b)

The line goes through (0,0)

c)

Curvy line

d)

Straight line and passes through (0,0)

174.

REVIEW QUESTION
Is this table proportional or non-proportional?

a)

Proportional

b)

Non-Proportional

175.

Does this table represent a proportional relationship?

a)

Yes

b)

No

176.

Which statement best describes the relationship between x (dogs) and y(paws) in the table?

a)

Proportional

b)

Not Proportional

177.

Is this table proportional?

a)

Yes

b)

No

178.

Write an equation for this situation.

a)

y=9.75x

b)

y=19x

c)

y=19.25x

d)

y=9.5x

179.

The cost of popcorn is $2.50 for each bag.

a)

Proportional

b)

Nonproportional

180.

A local Mexican food restaurant caters parties for 20 or more guests. Which equation does the Mexican food restaurant use to calculate the total cost for catering with 20 or more guests?

a)

$c=\frac{25}{7}g$

b)

$c=25g+7$

c)

$c=7g+25$

d)

$c=\frac{7}{27}g+20$

181.

Which of the following best represents a linear proportional relationships?

a)

b)

$y=3x-7$

c)

$y=8x+25$

d)

182.

Which best describes the equation?
y = 75x

a)

Proportional

b)

Nonproportional

183.

Which best describes this equation?
y= 3.75x + 2

a)

Proportional

b)

Non-proportional

184.

Does this graph represent a proportional relationship?

a)

No, because it doesn't pass through the origin.

b)

Yes, because it doesn't pass through the origin.

c)

Yes, because it intersects the y axis.

d)

No, because it intersects the x axis.

185.

Does this graph represent a proportional relationship?

a)

Yes, because the line is pretty.

b)

No, because the line goes through the origin.

c)

Yes because the line goes through the origin.

d)

No, because the graph is non-proportional.

186.

Proportional or Non-Proportional:
The video game rental fee is $15 plus $3 per day.

a)

Proportional

b)

Non-Proportional

187.

Shawn makes $7.50 an hour to babysit for her next door neighbors. Describe the graph of this relationship.

a)

Proportional

b)

Non-proportional

188.

Does the equation show a proportional relationship?

a)

Yes

b)

No

Question Bank for Grade 8 Mathematics

Total questions: 188

Worksheet time: 5hrs 51mins

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