Free Printable Math 8 1st semester exam review

1.

Solve: 5x + 15 = 10x - 40

a)

x = 10

b)

x = -10

c)

x = 11

d)

x = -11

2.

4(x + 2) = 16

What is the solution to the equation?

a)

x = -2

b)

x = 0

c)

x = 1

d)

x = 2

3.

3x + 2(4x - 4) = 3

What is the solution to the equation?

a)

x = 4

b)

x = 3

c)

x = 2

d)

x = 1

4.

Solve:

9x - 4x - 5 = 10

a)

x = 3

b)

x = -3

c)

x = 1

d)

x = -1

5.

Solve:

$1\ +\ 3p\ +\ 6\ =\ 3p\ +\ 15$

a)

p = -2

b)

p = -16

c)

infinitely many solutions

d)

no solution

6.

What is the first step you should take to solve this problem?

1 + 4n - 6n = 1 - 8n

a)

subtract 8n from both sides

b)

multiply both sides by 6n

c)

combine the like terms 4n + -6n

d)

subtract 1 from both sides

7.

Jacob solved the following equation using the steps shown.

Step 1 5x + 9 = 2x - 3

Step 2 3x + 9 = -3

Step 3 3x = -12

Step 4 x = -4

What operation did he perform to get from Step 1 to Step 2?

a)

Subtracted 2x from both sides of the equation

b)

Subtracted 9 from both sides of the equation

c)

Multiplied both sides of the equation by 3

d)

Added -3 to both sides of the equation

8.

Solve the equation

4x - 5x + 9 = 5x - 9

a)

x = -3

b)

x = 9

c)

x = 3

d)

x = -9

9.

Solve:

3(x - 8) = 3x - 24

a)

no solution

b)

x = 3

c)

infinitely many solutions

d)

x = -3

10.

Solve:
2x + 1 = 2x - 1

a)

no solution

b)

x = 0

c)

infinitely many solutions

d)

x = -2

11.

Solve the equation by first clearing fractions:
$\frac{1}{4}x+8=\frac{3}{8}$

a)

$x=\frac{61}{2}$

b)

$x=-\frac{61}{2}$

c)

$x=\frac{67}{2}$

d)

$x=-\frac{67}{2}$

12.

Solve the equation by first clearing fractions:
$\frac{1}{8}x+\frac{1}{4}=\frac{5}{8}$

a)

x = -4

b)

x = 4

c)

x = 3

d)

x = -3

13.

Solve by clearing decimals first.
1.25m + 1.5 = 7.5

a)

m = -4.8

b)

m = 4

c)

m = 4.8

d)

m = -4

14.

Solve by clearing decimals.
2.5y + 6 = 23.5

a)

y = 6

b)

y = 7

c)

y = -7

d)

y = -6

15.

Solve:

a)

b = 1

b)

b = 2

c)

b = -1

d)

b = -2

16.

Solve:

a)

c = -2

b)

c = -1

c)

c = 1

d)

c = 2

17.

Solve for x:

11.7 x - 15 = 8.4

a)

x = 15.3

b)

x = 23.4

c)

x = 2

d)

x = 0

18.

Solve:

a)

d = 0.7

b)

d = -0.7

c)

d = -2

d)

d = 2

19.

Solve:

a)

p = 0.89

b)

p = -0.89

c)

p = 10.57

d)

p = -10.57

20.

Solve:

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

a)

$x=-\frac{1}{4}$

b)

$x=\frac{1}{4}$

c)

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

d)

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

21.

Solve:

12.2 = 6.1x + 18.3

a)

x = -1

b)

x = 1

c)

x = 5

d)

x = -5

22.

Solve:
3(x - 2) < 2(x + 9)

a)

x < 24

b)

x > 12

c)

x < 12

d)

x > 24

23.

Solve:
6x + 3 > 4x - 7

a)

x > 5

b)

x > -5

c)

x < -5

d)

x > -2

24.

Solve:
7(x + 3) < 5x + 13

a)

x > -4

b)

x < 17

c)

x < -4

d)

x > -17

25.

Solve:
14x + 12 < 9x - 3

a)

x < -3

b)

x < 5

c)

x < -5

d)

x > 3

26.

Solve:
11x + 16 < 43 + 2x

a)

x < 5

b)

x < 3

c)

x > 5

d)

x > 3

27.

8g − 5g − 4 ≤ -3 + 3g

a)

g ≤ 0

b)

g ≤ 1

c)

infinitely many solutions

d)

no solution

28.

Write an inequality to represent the situation:

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on the taxi ride.

a)

1.75 + 0.65m < 10

b)

1.75 + 0.65m > 10

c)

1.75m + 0.65 < 10

d)

1.75m + 0.65 > 10

29.

Write an inequality to represent the situation:

Twice the sum of a number and three is at least nine.

a)

2x + 3 > 9

b)

2x + 3 < 9

c)

2(x + 3) > 9

d)

2(x + 3) < 9

30.

Solve:
4(2a + 3) < 3(a - 1)

a)

a < -3

b)

a > -3

c)

a < 3

d)

a > 3

31.

Which compound inequality is graphed?

a)

x > 2 and x ≤ -3

b)

x > 2 and x < -3

c)

x > 2 or x ≤ -3

d)

x > 2 or x < -3

32.

Write an inequality for Graph 3.

a)

x ≤ -2 and x > 5

b)

x ≤ -2 or x > 5

c)

x ≥ -2 or x < 5

d)

x ≥ -2 and x < 5

33.

Write an inequality for Graph 4.

a)

-2 < x < 5

b)

x < -2 or x > 5

c)

x ≥ -2 or x < 5

d)

-2 ≤ x ≤ 5

34.

Which compound inequality is graphed?

a)

2 < x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

35.

Which is the graph for the inequality x < 6?

a)

A

b)

B

c)

C

d)

D

36.

Solve:

24 > -3r > -9

a)

-8 < r < 3

b)

-8 < r < 3

c)

r < - 8 or r > 3

d)

r < -8 or r > 3

37.

Solve:

x + 8 < 3 or - 8x < -40

a)

x > -5 and x < 5

b)

x < -5 or x > 5

c)

x < -5 or x > 5

d)

x > -5 and x < 5

38.

Write an inequality for Graph 2.

a)

-2 ≤ x < 5

b)

x ≤ -2 or x > 5

c)

-2 < x < 5

d)

x < -2 or x > 5

39.

Solve:

0 < x + 7 < 9

a)

x > -7 and x < 2

b)

x < -7 or x > 2

c)

x > 7 and x < -2

d)

x < 7 or x > -2

40.

Solve:

3x - 4 < -13 or 7x + 1 > 22

a)

infinitely many solutions

b)

x < 3 and x > -3

c)

no solution

d)

x < -3 or x > 3

41.

Which compound inequality is graphed?

a)

x < 2 and x > −3

b)

x > 2 or x < −3

c)

x > 2 or x < −3

d)

x < 2 and x > −3

42.

Translate the following sentence into an equation:

The quotient of a number and seven is nine.

a)

$7-n\ =\ 9$

b)

$\frac{n}{7}\ =\ 9$

c)

$n-7\ =\ 9$

d)

$\frac{7}{n}\ =\ 9$

43.

Translate the following sentence into an equation:

Four more than the product of eight and a number is forty-four.

a)

$8n-4=44$

b)

$4\left(n-8\right)=44$

c)

$8n\ +\ 4\ =\ 44$

d)

$4\left(n+8\right)=44$

44.

Translate the following sentence into an equation:

Twenty-five less than a number is ten.

a)

$n-25=10$

b)

$25-n=10$

c)

$\frac{n}{25}=10$

d)

$\frac{25}{n}=10$

45.

Translate the following sentence into an inequality:
Fourteen is less than the sum of seven and a number.

a)

$14<n+7$

b)

$14>7+n$

c)

$14\le n+7$

d)

$14\ge n+7$

46.

Translate the following sentence into an inequality:
The product of negative twelve and a number is at least four.

a)

$-12n\le4$

b)

$n-12\ge4$

c)

$-12n\ \ge\ 4$

d)

$n-12\le4$

47.

Which is the solution to the following inequality?

$4n-11>5$

a)

n > 4

b)

n < 4

c)

n > -4

d)

n < -4

48.

Write the equation of the line with slope 4 through the point (-2, 5).

a)

y = 4x - 13

b)

y = 4x + 13

c)

y = 4x - 3

d)

y = 4x + 3

49.

Write the equation of the line with slope $\frac{3}{5}$ through the point (20, 6).

a)

$y=\frac{3}{5}x-6$

b)

$y=\frac{3}{5}x-18$

c)

$y=\frac{3}{5}x+18$

d)

$y=\frac{3}{5}x+6$

50.

What is the y-intercept of the graph of y = -5x + 6?

a)

(0, 5)

b)

(0, -5)

c)

(0, 6)

d)

(0, -6)

51.

Write the equation in slope-intercept form for the line described below:
m = -1 and contains the point (-2, 4)

a)

y = x + 6

b)

y = x - 2

c)

y = -x + 6

d)

y = -x + 2

52.

Find the slope

a)

$m=-\frac{2}{3}$

b)

$m=\frac{3}{2}$

c)

$m=-\frac{3}{2}$

d)

$m=\frac{2}{3}$

53.

Which equation best represents the graphed line?

a)

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

b)

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

c)

$y=2x$

d)

$y=-2x$

54.

What is the y-intercept of the graphed line?

a)

(0, 3)

b)

(0, 4)

c)

(0, -3)

d)

(0, -4)

55.

Which equation represents the following graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

56.

Which equation is being represented by this line?

a)

y = -x + 2

b)

y = x + 2

c)

y = x - 2

d)

y = -x - 2

57.

Write the equation for the graph shown.

a)

$y=-2x+2$

b)

$y=2x+2$

c)

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

d)

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

58.

Write the equation of the line.

a)

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

b)

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

c)

$y=3x-2$

d)

$y=-3x-2$

59.

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

a)

A

b)

B

c)

C

d)

D

60.

Write the equation of a line that passes through the point (-5, -4) and has a slope of $\frac{1}{5}$ .

a)

$y=\frac{1}{5}x-3$

b)

$y=\frac{1}{5}x-5$

c)

$y=\frac{1}{5}x+5$

d)

$y=\frac{1}{5}x+3$

61.

Write the equation of a line that passes through the point (1, 4) and has a slope of 9.

a)

y = 9x - 13

b)

y = 9x - 5

c)

y = 9x + 13

d)

y = 9x + 5

62.

Write the equation of a line with a slope of -3 and y-intercept of 8.

a)

y = 3x - 8

b)

y = -3x - 8

c)

y = 3x + 8

d)

y = -3x + 8

63.

Which equation best represents the relationship between x and y in the table shown?

a)

$y=5x+5$

b)

$y=\frac{1}{5}x+5$

c)

$y=-5x+5$

d)

$y=-\frac{1}{5}x+5$

64.

Write an equation in slope-intercept form that goes through the points (-3, -4) and (3, 4).

a)

$y=\frac{3}{4}x+4$

b)

$y=\frac{3}{4}x$

c)

$y=\frac{4}{3}x$

d)

$y=\frac{4}{3}x+4$

65.

Find the equation that represents the line going through (0, 2) and (-4, 0).

a)

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

b)

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

c)

$y=2x+2$

d)

$y=2x-4$

66.

Write the equation for the line represented in the table in slope-intercept form.

a)

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

b)

$y=\frac{1}{2}x+6$

c)

$y=2x-3$

d)

$y=2x+6$

67.

Johnny has to pay $15 for a large pizza and $2 for each topping. What is the meaning of the y-intercept?

a)

Each additional topping costs $2.

b)

The cost of the pizza with no toppings is $15.

c)

Each additional topping costs $15.

d)

The cost of the pizza with no toppings is $2.

68.

The graph represents the money in a savings account over time. What is the meaning of the y-intercept?

a)

The savings account started with $30.

b)

$30 is added to the account each week.

c)

After five weeks, $30 has been saved.

d)

It will take 30 weeks to save enough money to open an account.

69.

The graph represents the height of a burning candle. What is the meaning of the y-intercept?

a)

the time it takes to burn the entire candle

b)

the height before the candle started burning

c)

the change in the height of the candle each hour

d)

the rate at which the candle is losing height

70.

What does the slope mean in the context of the problem?

a)

The total cost will decrease by $1.40 per topping

b)

The total cost will increase by $1.40 per topping

c)

The total cost will increase by $1.90 per topping

d)

The cost total will decrease by $1.90 per topping

71.

What is the meaning of the slope?

a)

The cost to get into the fair is $5.

b)

The cost for each additional ride is $1.75.

c)

The cost to get into the fair is $1.75.

d)

The cost for each additional ride is $5.

72.

The function C(m) = 0.75m + 2.25 represents the total cost, C, you have to pay to take a cab m miles. What is the meaning of the slope?

a)

The cost of the trip will increase by $0.75 per mile.

b)

You will have to pay $2.25 before you travel any miles.

c)

You will have to pay $0.75 before you travel any miles.

d)

The cost of the trip will increase by $2.25 per mile.

73.

Mr. Thompson weighs 287 pounds. He plans on losing 3 pounds per week. Choose the correct equation to model this situation if weight is represented by w and time is represented by t.

a)

W(t) = 3t + 287

b)

W(t) = -3t + 287

c)

W(t) = -3t - 287

d)

W(t) = 3t - 287

74.

If I join the gym for a start up fee of $40 and monthly fee of $10, what is the domain for six months?

Equation: y = 40 + 10x

a)

{1, 2, 3, 4, 5, 6}

b)

{50, 60, 70, 80, 90, 100}

c)

1 < x < 6

d)

50 < x < 100

75.

If I join the gym for a start up fee of $40 and monthly fee of $10, what is the range for six months?

Equation: y = 40 + 10x

a)

{1, 2, 3, 4, 5, 6}

b)

{50, 60, 70, 80, 90, 100)

c)

1 < y < 6

d)

50 < y < 100

76.

A student is taking a test that has 10 questions on it. The student's score is a function of how many questions he misses: y = 100 - 10x, where x is the number of questions incorrect. What is the domain?

a)

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

b)

{0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100}

c)

0 < x < 10

d)

0 < x < 100

77.

A student is taking a test that has 10 questions on it. The student's score is a function of how many questions he misses: y = 100 - 10x, where x is the number of questions incorrect. What is the range?

a)

{0, 10, 20, 30, 40, 50, 60, 70, 80, 90, 100}

b)

{0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

c)

0 < y < 100

d)

0 < y < 10

78.

What is the range of the following graph?

a)

R: {-5, -1, 0 , 1, 5}

b)

R: {-4, -2, 0, 3, 6}

c)

R: (-5, 5)

d)

R: (-4, 6)

79.

For the function {(0, 1), (1, -3), (2, -4), & (-4, 1)}, which choice gives the correct domain & range?

a)

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

b)

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

c)

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

d)

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

80.

What is the domain?

a)

{-3, -1, 1, 3, 5, 7, 9}

b)

{-3, -2, -1, 0, 1, 2, 3}

c)

-3 ≤ x ≤ 3

d)

-3 ≤ x ≤ 9

81.

Find the range.

a)

$\left(-\infty,\infty\right)$

b)

(0, 11)

c)

$\left[0,\infty\right)$

d)

$\left(0,\infty\right)$

82.

The total cost in dollars, y, to purchase video games online can be found using the function y = 16.95x + 4.75, where x is the number of video games purchased. If at least 4 games but no more than 7 games are purchased online, what is the range of the function for this situation?

a)

{4, 5, 6, 7}

b)

4 ≤ y ≤ 7

c)

72.55 ≤ y ≤ 123.50

d)

{72.55, 89.50, 106.45, 123.40}

83.

What is the domain?

a)

-3 ≤ x < 5

b)

-3 ≤ y < 5

c)

-8 ≤ x < 5

d)

-8 ≤ y < 5

84.

Find the domain.

a)

x > 3

b)

x > 3

c)

x > 0

d)

x ≥ 0

85.

What is the range?

a)

{-3, -1, 1, 3, 5, 7, 9}

b)

{-3, -2, -1, 0, 1, 2, 3}

c)

-3 ≤ x ≤ 3

d)

-3 ≤ x ≤ 9

86.

Is this mapping a function and how can you tell?

a)

Yes it is a function because each input corresponds to one output

b)

No it is not a function because each input corresponds to more than one output

87.

Is this table a function and how can you tell?

a)

Yes it is a function because each input has one output

b)

No it is not a function because each input has more than one output

88.

What variable represents the slope in the equation y = mx + b ?

a)

x

b)

y

c)

m

d)

b

89.

In the following equation, what is the y-intercept?
y = -3x + 7

a)

(0, -3)

b)

(0, 7)

c)

(0, 3)

d)

(0, -7)

90.

What is the slope in the equation: y = 4x + 3?

a)

3

b)

-4

c)

4

d)

-3

91.

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

a)

y = 3x - 6

b)

y = 3x + 6

c)

y = -3x + 6

d)

y = -3x - 6

92.

Find the slope of the graphed line.

a)

$m=\frac{3}{2}$

b)

$m=-\frac{3}{2}$

c)

$m=3$

d)

$m=-3$

93.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

$m=\frac{1}{2}$

b)

$m=-\frac{1}{2}$

c)

$m=2$

d)

$m=-2$

94.

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

a)

A

b)

B

c)

C

d)

D

95.

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

a)

b)

c)

d)

96.

Which graph represents 2x - 5y = -10?

a)

b)

c)

d)

97.

Which graph represents the table?

a)

b)

c)

d)

98.

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

a)

b)

c)

d)

99.

Which graph represents the equation y = -3x?

a)

b)

c)

d)

100.

What is the y-intercept of the graphed line?

a)

(0, -3)

b)

(0, 4)

c)

(-3, 0)

d)

(4, 0)

101.

Graph y = -4.

a)

A

b)

B

c)

C

d)

D

102.

Graph x = 1.

a)

A

b)

B

c)

C

d)

D

103.

Describe the association between the number of lanes rented and the number of people bowling.

a)

Nonlinear association

b)

Negative association

c)

No association

d)

Positive association

104.

Describe the association for the graph.

a)

Positive association

b)

Negative association

c)

Nonlinear association

d)

No association

105.

Describe the association for the graph.

a)

Positive association

b)

Negative association

c)

Nonlinear association

d)

No association

106.

Describe the association for the scatterplot based on data plotted.

a)

As the weeks increase, the amount of money on the gift card increases.

b)

As the weeks decrease, the amount of money on the gift card increases.

c)

There is no relationship between the time in weeks and the amount of dollars.

d)

As the weeks increase, the amount of money on the gift card decreases.

107.

Which conclusion is best supported by the scatterplot?

a)

As the length of a call increases, the cost of the call increases.

b)

As the length of a call increases, the cost of the call remains the same.

c)

As the length of a call increases, the cost of the call decreases.

d)

There is no relationship between the length of a call and the cost of the call.

108.

The police department tracked the number of ticket writers and number of tickets issued for the past 8 weeks. The scatter plot shows the results. Which statement is true?

a)

More ticket writers results in fewer tickets issued.

b)

There were 50 tickets issued every week.

c)

When there are 10 ticket writers, there will be 800 tickets issued.

d)

More ticket writers results in more tickets issued.

109.

The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month. Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles?

a)

A. 50 min

b)

B. 80 min

c)

C. 45 min

d)

D. 60 min

110.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

a)

12 chapters

b)

15 chapters

c)

18 chapters

d)

21 chapters

111.

Based on the scatterplot, what is the best prediction of the average number of hours a person spends at work every week, if that person spends an average of 10 hours on recreational activities every week?

a)

33 hours

b)

85 hours

c)

50 hours

d)

65 hours

112.

Based on the scatterplot, about how much money would a group of 10 people be expected to spend on food and beverages at this restaurant?

a)

$135

b)

$115

c)

$105

d)

$150

113.

Based on this scatterplot, approximately what score would a student with 6 absences expect to receive on the final exam?

a)

65

b)

92

c)

67

d)

76

114.

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

a)

A

b)

B

c)

C

d)

D

Math 8 1st semester exam review

Total questions: 114

Worksheet time: 7hrs 58mins

Similar Resources on Wayground