Free Printable Math 8 Midterm Review- 2023/2024 LIPSCOMB

1.

Find the Unit Rate.
405 rotations in 5 minutes

a)

81 rotations per minute

b)

73 rotations per minute

c)

18 rotations per minute

d)

810 rotations in 10 minutes

2.

Does the table represent a proportional relationship?

a)

Yes.

b)

No.

3.

Does the table represent a proportional relationship?

a)

Yes.

b)

No.

4.

Does the table show a proportional relationship? (K=Constant Rate of Change)

a)

Yes, K = 7

b)

Yes, K = 0.7

c)

Yes, K = 0.14

d)

Yes, K = 14/100

5.

Does the table show a proportional relationship? (COP= Constant of Proportionality)

a)

Yes, the COP = 0.325

b)

No, the COP is different for each row.

6.

Does the graph show a proportional relationship?

a)

Yes, it's linear and goes through the origin

b)

Yes, it's linear

c)

Yes, it goes through the origin

d)

Yes, the line is pretty

7.

Does the graph show a proportional relationship?

a)

No, it's a curved line

b)

No, it's a pretty line

c)

Yes, if you connect the line, it is kind of straight.

d)

Yes, the dots are pink

8.

Which equation shows a proportional relationship?

a)

y = 5x + 9

b)

x = 5y - 10

c)

y = 5x

d)

x = 5y + 48

9.

What is the constant of proportionality in the following equation? y = 1/4x

a)

4

b)

1/4

c)

4/5

d)

3/4

10.

Write an equation that represents this graph?

a)

y = 15x

b)

y = 18x

c)

y = 54x

d)

y = 72x

11.

Find the missing value

a)

50

b)

15

c)

60

d)

4

12.

Which graph shows a proportional relationship?

a)

A

b)

B

c)

C

d)

D

13.

Coffee costs $2 per pound. Which graph models this relationship?

a)

A

b)

B

c)

C

d)

D

14.

What is the constant of proportionality for this table?

a)

k = 0

b)

y = 25x

c)

k = 25

d)

x = 25y

15.

Create an equation for this proportional relationship.

a)

y = 10x

b)

y = 5x

c)

k = 5

d)

y = 0.5x

16.

Which graph shows a negative slope?

a)

b)

17.

Which equation has a negative slope?

a)

y= 3x + 5

b)

y= 3x - 5

c)

y= -3x - 5

18.

Which equation has a positive slope?

a)

y= 3x + 5

b)

y= -3x + 5

c)

y= -3x - 5

19.

Which variable represents y-intercept in the linear equation y=mx+b?

a)

y

b)

x

c)

m

d)

b

20.

What is the y-intercept of this equation?

y = 5x + 8

a)

b = 5

b)

b = -5

c)

b = 8

d)

b = -8

21.

What is the slope of this equation?
y = 3x - 4

a)

3

b)

-4

c)

3x

d)

4

22.

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

a)

A

b)

B

c)

C

d)

D

23.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

24.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

25.

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

a)

b)

c)

d)

26.

Solve for y:
y + 2 = 3x

a)

y = 2x + 3

b)

y= 3x +2

c)

y= 3x -2

d)

y= 6x

27.

What is the equation of the graph?

a)

y = -2

b)

y = 2

c)

x = -2

d)

x = 2

28.

What is the equation of the graph?

a)

y = -2

b)

y = 2

c)

x = -2

d)

x = 2

29.

_{What is the y-intercept of the line?}

a)

y = 1/2

b)

y = 1

c)

y = -1/2

d)

y = -1

30.

Which runner was faster?

a)

Runner A

b)

Runner B

31.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

32.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

33.

$13\ =s-21$

What is s?

a)

s = 34

b)

s = -8

c)

$s=\frac{13}{21}$

d)

s = 0

34.

$4z=36$

What should you do first to figure out what "z" is?

a)

Subtract 4 from both sides.

b)

Divide both sides by 4.

c)

Multiply both sides by 4.

d)

Add -36 to both sides.

35.

$\frac{x-7}{4}=-2$

What steps would solve this equation?

a)

Multiply both sides by 4, then add 7 to both sides.

b)

Divide both sides by -2, then add 7 to both sides.

c)

Add 7 to both sides then multiply both sides by 4.

d)

Divide both sides by 4 then subtract 7 from both sides.

36.

$9=\frac{r}{8}$

What is r?

a)

$r=\frac{9}{8}$

b)

$r=\frac{1}{64}$

c)

r = 72

d)

9r = 8

37.

$9-2x=35$

What is x?

a)

x=22

b)

x=-13

c)

$x=\frac{35}{9}$

d)

x=-4

38.

Solve for w.

-6w + 1 = -11

a)

2

b)

1.2

c)

12

d)

-2

39.

$21=3+4n+5n$

a)

9

b)

$-7$

c)

6

d)

2

40.

$96=6\left(k+8\right)$

a)

$12$

b)

$8$

c)

$-4$

d)

$9$

41.

$97=-3\left(6n-5\right)-8$

a)

$-10$

b)

$16$

c)

$-5$

d)

$-2$

42.

10(h+1) - 4 = 76

a)

h=10

b)

h=4

c)

h=7

d)

h=76

43.

What will the equation look like after you combine like terms?

a)

-5x + 5 = 35

b)

x + 5 = 35

c)

5x + 5 = 35

d)

-x + 5 = 35

44.

Solve:
$3x+15=3\left(x+5\right)$

a)

No Solution

b)

x = 15

c)

All Real Numbers

d)

x = 0

45.

Solve:
$3x-x+4=4\left(2x+1\right)$

a)

No Solution

b)

All Real Numbers

c)

x = 6

d)

x = 0

46.

7x = 3x + 24

a)

6

b)

10

c)

14

d)

4

47.

7w + 5 = 3w - 15

a)

5

b)

-2

c)

2

d)

-5

48.

Find the solution to the equation:
^{25 - 5a = -5( a - 4)}

a)

a = 0

b)

a = 10

c)

No Possible Solution

d)

Many Possible Solutions

49.

Find the solution to the equation:
^{2(3x - 6) = -12 + 6x}

a)

x = 4

b)

x = 10

c)

Infinite Possible Solutions

d)

x = (-6)

50.

Find the solution to the equation:
2(5b - 3) = 6b + 6

a)

b = 12

b)

b = 3

c)

b = (-7)

d)

No Possible Solutions

51.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

52.

How many solutions will this system have?

a)

One

b)

Two

c)

No Solution

d)

Infinitely Many Solutions

53.

2x + y = 10
y = -2x + 13

a)

(-2, 17)

b)

(2, 6)

c)

no solution

d)

all solutions

54.

This system has _____ solutions

a)

0

b)

1

c)

2

d)

Infinitely many

55.

x + y = -3
y = x - 5

a)

(1, -4)

b)

(-1, 4)

c)

all solutions

d)

no solution

56.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

perpendicular lines

d)

coinciding lines

57.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

coinciding lines

c)

Intersecting lines

58.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

59.

Solve for x and y.
y = 2/3x - 2
y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

60.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

61.

What is the solution for the system of linear equations

a)

(-1, 3)

b)

(1, 3)

c)

(3, -1)

d)

(3, 1)

62.

What is the solution for the system:

y=x

y=-x+6

a)

(3, 3)

b)

(5, 3)

c)

(6, 2)

d)

(-2, 4)

63.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

64.

Determine if (4, 1) is a solution for the system of equations.
y = -x + 5
y = 2x - 7

a)

yes

b)

no

65.

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

66.

a)

Function

b)

Not a Function

67.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

68.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

69.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

70.

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.

71.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

72.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

73.

Is this table a function or not a function?

a)

Function

b)

Not a Function

74.

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}

75.

Which ordered pair could you add to the following list of points to create a function? (3, 5) (4, 9) (2, 5)

a)

(3, 7)

b)

(4, 1)

c)

(1, 9)

d)

(2, 6)

76.

Which equation matches the table?

a)

y = x

b)

y = 5x

c)

y = x - 4

d)

y = x + 4

77.

What is the algebraic equation for this table?

a)

y = 480x

b)

x = y/480

c)

x + 480 = y

d)

480 - x = y

78.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

79.

Is this graph a function?

a)

Function

b)

Not a Function

80.

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

81.

Find the rate of change

a)

1

b)

2

c)

11

d)

Not a constant slope/Non-Linear

82.

Find the rate of change

a)

3

b)

-3

c)

20

d)

Not a constant slope/Non-Linear

83.

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

a)

8

b)

6

84.

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

a)

8

b)

6

85.

Which company shows a greater rate of change?

a)

Water's Edge Rafts

b)

Ryan's Rafts

Math 8 Midterm Review- 2023/2024 LIPSCOMB

Total questions: 85

Worksheet time: 6hrs 43mins

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