Free Printable Chapter 5 (Inequalities) Review

1.

What is the solution to the inequality –19 < 3x – 4 < 5

a)

–26 < x < –2

b)

–5 < x < 3

c)

–18 < x < 6

d)

–9 < x < 3

2.

Solve the inequality

6x – 14 < –14 or 3x + 10 > 13

a)

x < –4 or x > 7

b)

x < –6 or x > 0

c)

x < 0 or x > 1

d)

x < 0 or x > 7

3.

Solve -2y > 10.

a)

y < -5

b)

y > -5

c)

y < 5

d)

y >5

4.

Which is the solution to the inequality $3p\ +\ 6\le\ 2$

a)

$p\le-\frac{4}{3}$

b)

$p\ge-\frac{4}{3}$

c)

$p\ \le\frac{8}{3}$

d)

$p\ \ge-\frac{8}{3}$

5.

Which inequality represents the situation “the temperature should be at least 40 degrees”?

a)

t > 40

b)

$t\ \ge\ 40$

c)

t < 40

d)

$t\ \le\ 40$

6.

Choose the inequality that represents the following: On a road in the city of Rochester, the maximum speed is 50 miles per hour, and the minimum speed is 20 miles per hour. a. 20 > x > 50 c

a)

20 > x > 50

b)

20 < x < 50

c)

$20\le\ x\ \le50$

d)

$20\ \ge\ x\ \ge\ 50$

7.

Which is Not a solution of the inequality $5\ -\ 2x\ \ge\ -3$

a)

0

b)

2

c)

4

d)

5

8.

Which statement can be modeled by $x\ +\ 3\ \le12$ ?

a)

Sam had 3 bottles of water. Together sam and Dave have at most 12 bottles of water

b)

Jennie sold 3 cookbooks. To earn a prize, Jennie must sell at least 12 cookbooks

c)

Peter has 2 baseball hats. Peter and his brothers have fewer than 12 baseball hats.

9.

In order to be admitted for a certain ride at an amusement park a child must be greater than or equal to 36 inches tall and less than 48 inches tall. Which inequality represents these conditions

a)

$36\ \le x<48$

b)

$36\ <\ x\le48$

c)

$36\ <x<48$

d)

$36\le x\le48$

10.

Which statement is modeled by 2p + 5 < 11

a)

The sum of 5 and 2 times p is at least 11

b)

Five added to the product of 2 and p is less than 11

c)

Two times p plus 5 is at most 11

d)

The product of 2 and p added to 5 is 11.

11.

Solve 24 > -3r > -9

a)

-8 < r < 3

b)

-8 > r > 3

c)

r > - 8 and r > 3

d)

r > -8 or r < 3

12.

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

a)

x > -5 or x < 5

b)

x < -5 and x > 5

c)

x < -5 or x > 5

d)

x > -5 and x < 5

13.

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)

-2 ≤ x < 5

14.

Write an inequality for Graph 2.

a)

-2 ≤ x < 5

b)

x ≤ -2 AND x > 5

c)

x ≥ -2 OR x < 5

d)

-2 ≤ x ≤ 5

15.

0 < x + 7 < 9

a)

-7<x and x<2

b)

-7<x or x<2

c)

-7>x and x>2

d)

-7>x or x>2

16.

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

a)

All Real numbers

b)

x>3 and x>-9

c)

The answer is not listed

d)

x<-3 or x>3

17.

Solve the following compound inequality:

−4x + 1 ≤ 21 and 5x + 2 < 22

a)

x > −5 or x ≤ 4

b)

x ≥ −5 or x < 4

c)

x > −5 and x ≤ 4

d)

x ≥ −5 and x < 4

18.

−6 < 2t − 5 < -3

a)

−0.5 < t < 1

b)

0.5 < t < −1

c)

−11/2 < t < 2

d)

11/2 < t < −2

19.

Write the sentence as a compound inequality:

A number p is less than 6 and greater than 2.

a)

p < 6 or p > 2

b)

P < 2 or p > 6

c)

2 < p < 6

d)

6 < p < 2

20.

Write the sentence as an inequality:

A number n is less than to -7 or greater than 12.

a)

n < -7 or n > 12

b)

n > -7 or n > 12

c)

-7 < n > 12

d)

-7 < n < 12

21.

What 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

22.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

23.

Solve the inequality:

$n+8<3\ or\ -8n<-40$

a)

$n<-5\ or\ n\ >\ 5$

b)

$n<-5\ or\ n<5$

c)

d)

$n\ge-5\ or\ n\le-5$

24.

a)

A

b)

B

c)

C

d)

D

25.

I can solve and graph compound inequalities.

Which compound inequality is represented by the graph?

a)

$x\ge0$

and

$x<3$

b)

$x\ge0$

or

$x<3$

c)

$0\le x<3$

d)

$x\le0$

and

$x>3$

26.

I can solve and graph compound inequalities.

What compound inequality is represented by the graph?

a)

$x>5$

and

$x<9$

b)

$x>5$

or

$x<9$

c)

$5>x>9$

d)

$5<x<9$

27.

I can solve and graph compound inequalities.

What compound inequality is represented by the graph?

a)

$x>-3$

and

$x<2$

b)

$x\le-3$

and

$x>2$

c)

$x\le-3$

or

$x>2$

d)

$-3<x<2$

28.

Solve and graph:

a)

A

b)

B

c)

C

d)

D

29.

Solve and graph:

a)

A

b)

B

c)

C

d)

D

30.

Solve the following Compound Inequality:

9<3x+6\le36

a)

$1<x\le10$

b)

$3<x\le18$

c)

$0<x\le6$

d)

$3<x\le12$

31.

You take a trip to the bowling alley, where each game cost $2, plus you plan to spend $10 on food. You can spend at most $25. Which inequality models this scenario?

a)

2x + 10 ≥ 25

b)

2x + 10 > 20

c)

2x + 10 ≤ 25

d)

2x + 10 < 25

32.

Your taxi fare is $2.50 per mile, plus a $5 fee. You have a budget of $20. Which inequality models this scenario?

a)

5x + 2.50 ≤ 20

b)

2.50x + 5 < 20

c)

2.50x + 5 ≤ 20

d)

7.50x < 20

33.

Solve: -3 ≤ 2x - 1 ≤ 5

a)

-1 ≤ x ≤ 3

b)

-2 ≤ x ≤ 6

c)

-3 ≤ x ≤ 3

d)

1 ≤ x ≤ 3

34.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

35.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

36.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

37.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

38.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

39.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

40.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

41.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

42.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

43.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

44.

Which of the following equations match the given graph?

a)

y ≤ -3/4 x + 3

b)

y ≥ -3/4 x + 3

c)

y < -3/4 x + 3

d)

y > -3/4 x + 3

45.

Which of the following equations match the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

46.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, -1)

d)

(5, 20)

47.

What kind of line does this graph have?

a)

Dotted

b)

Solid

48.

Match

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

49.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, 20)

c)

(3, 5)

d)

(0, -2)

50.

What kind of line does the graph have?

a)

Dotted

b)

Solid

51.

Which point below is NOT a part of the solution set?

a)

(0, 0)

b)

(0, 1)

c)

(-100, -3)

d)

(5, 10)

52.

Match

a)

y ≤ 2x - 4

b)

y ≥ 2x - 4

c)

y < 2x - 4

d)

y > 2x - 4

53.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

54.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, 20)

c)

(3, 5)

d)

(0, -2)

55.

When graphing an inequality, you use a dashed line when you use which symbol?

a)

$y<,\ y>$

b)

$y\le,\ y\ge$

c)

$y<,\ y\le$

d)

$y>,\ y\ge$

56.

When you graph an inequality, you used a solid line when you use which symbols?

a)

$y≤,\ y≥$

b)

$y<,\ y>$

c)

$y<,\ y\le$

d)

$y>,\ y\ge$

57.

Which of the following inequalities matches the graph?

a)

y ≤ 3/4x + 5

b)

y ≥ 3/4x + 5

c)

y < 3/4x + 5

d)

y > 3/4x + 5

58.

Which of the following inequalities matches the graph?

a)

x > -2

b)

x < -2

c)

y > -2

d)

y < -2

59.

Which of the following inequalities matches the graph?

a)

x ≤ -4

b)

x ≥ -4

c)

y ≤ -4

d)

y ≥ -4

60.

Which inequality matches the picture shown?

a)

y < -1/2 x + 5

b)

y < -1/2 x + 5

c)

y > -1/2 x + 5

d)

y > -1/2 x + 5

61.

Choose the correct inequality for this graph.

a)

$y>\frac{1}{3}x-1$

b)

$y\ge\frac{1}{3}x-1$

c)

$y<3x+1$

d)

$y\le3x+1$

62.

Choose the correct inequality for this graph.

a)

$y<\frac{3}{2}x+1$

b)

$y\le\frac{3}{2}x+1$

c)

$y<\frac{2}{3}x+1$

d)

$y\le\frac{2}{3}x+1$

63.

Choose the correct inequality for this graph.

a)

$y<-1$

b)

$y\le-1$

c)

$x<-1$

d)

$x\le-1$

64.

Choose the correct inequality for this graph.

a)

$y>-2$

b)

$y\ge-2$

c)

$x>-2$

d)

$x\ge-2$

65.

Write the inequality

a)

y>-5x-3

b)

y≥-5x-3

c)

y<-5x-3

d)

y≤-5x-3

66.

Write the inequality

a)

y>2/3x-3

b)

y<2/3x-3

c)

y≤2/3x-3

d)

y≥2/3x-3

67.

Which of the following ordered pairs is not the solution for the inequality 3x - 2y ≥ 15 ?

a)

(7, 3)

b)

(6, 1)

c)

(5, 0)

d)

(4, 5)

68.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

69.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(5, 1)

c)

(-1, -3)

d)

(20, -5)

70.

s - 10 ≤ 1

a)

s ≤ 11

b)

s ≤ 9

c)

s ≥ 11

d)

s ≥ 9

71.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

72.

What inequality does the number line graph represent?

a)

$x\le-4$

b)

$x\ge-4$

c)

x < -4

d)

x < 4

73.

What inequality does the number line graph represent?

a)

$x\ge3$

b)

x > 3

c)

x < -3

d)

$x\le3$

74.

When you graph an inequality, you used a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

75.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

76.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

77.

Solve the inequality.

$2\left(b\ -\ 8\right)\ >\ 12$

a)

b > 20

b)

b > 6

c)

b > 14

d)

b > 20

78.

Solve the inequality.

$-4d\ -\ 9\ \le\ 3$

a)

$d\ \le3$

b)

$d\ \le-3$

c)

$d\ \ge\ 3$

d)

$d\ \ge\ -3$

79.

You flip an inequality symbol when you...

a)

subtract

b)

multiply and divide only

c)

multiple by a negative number

d)

multiple or divide by a negative number

80.

Which of the following situations shows the need to flip the inequality sign?

a)

$3x<-9$

b)

$\frac{x}{-4}>8$

c)

$x-2\le-4$

d)

$x--1\ge6$

81.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

82.

$6x>12$

a)

$x<2$

b)

$x\le2$

c)

$x>2$

d)

$x\ge2$

83.

$\frac{b}{2}<13$

a)

$b<26$

b)

$b\le26$

c)

$b>26$

d)

$b\ge26$

84.

Solve and graph.
k - 13 > -51

a)

A

b)

B

c)

C

d)

D

85.

s - 10 ≤ 1

a)

s ≤ 11

b)

s ≤ 9

c)

s ≥ 11

d)

s ≥ 9

86.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

87.

Solve the inequality.

$2\left(b\ -\ 8\right)\ >\ 12$

a)

b > 20

b)

b > 6

c)

b > 14

d)

b > 20

88.

Solve the inequality.

$-4d\ -\ 9\ \le\ 3$

a)

$d\ \le3$

b)

$d\ \le-3$

c)

$d\ \ge\ 3$

d)

$d\ \ge\ -3$

89.

Solve
-5m < 10

a)

m < -2

b)

m > -2

c)

m < -50

d)

m > -50

90.

$6x>12$

a)

$x<2$

b)

$x\le2$

c)

$x>2$

d)

$x\ge2$

91.

$\frac{b}{2}<13$

a)

$b<26$

b)

$b\le26$

c)

$b>26$

d)

$b\ge26$

92.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

93.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

94.

Solve the inequality.
30 + n ≥ 50

a)

x > 50

b)

x > 80

c)

x < 30

d)

x > 20

95.

x - 3<10

a)

x > 13

b)

x <13

c)

x ≤ 7

d)

x ≥ 7

96.

7b - 3 < 11

a)

b < 2

b)

84 > b

c)

b > 2

d)

b < 84

97.

7b - 2 < 12

a)

b < 2

b)

84 > b

c)

b > 2

d)

b < 84

98.

a)

x > 1

b)

1 ≥ x

c)

x is greater than or equal to 1

d)

x is less than or equal to 1

99.

a)

x is less than or equal to 2

b)

x < 2

c)

2 < x

d)

x is greater than 2

100.

Which inequality would have the solution graphed?

a)

b)

c)

d)

101.

7b - 3 < 11

a)

b < 2

b)

84 > b

c)

b > 2

d)

b < 84

102.

Which of the following inequalities would require you to flip the sign when solving?

a)

2x < 3

b)

3x > - 9

c)

-4x ≥ 10

d)

5x ≤ 15

103.

Which is a solution to the inequality shown?

a)

-2

b)

1

c)

0

d)

2

104.

Which of the following is a solution to the inequality shown?

a)

10

b)

8

c)

0

d)

-8

105.

The graph shown is the solution to which inequality?

a)

b)

c)

d)

106.

Which set of numbers contains only solutions to the inequality shown.

a)

{-6, -5, -4}

b)

{-4, 0, 4, 5}

c)

{0, -4, -8, -10}

d)

{-5, 5}

107.

Which of the following is a solution to the inequality shown?

a)

6

b)

0

c)

-5

d)

- 6

108.

Which is a solution to the the inequality shown?

a)

10

b)

6

c)

5

d)

3

109.

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

a)

x<24

b)

x>12

c)

x<12

d)

x>24

110.

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

a)

a<-3

b)

a>-3

c)

a<3

d)

a>3

111.

a)

a ≥ 4

b)

a ≥ -4

c)

a ≤ 4

d)

a ≤ -4

112.

$4\left(2x-1\right)>-7+2x$

a)

$x<-2$

b)

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

c)

$x>-2$

d)

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

113.

$2h+11>-7+4h-16$

a)

$h<17$

b)

$h<6$

c)

$h>-17$

d)

$h>-6$

114.

$-10m+2<-18$

a)

$m<2$

b)

$m<1.6$

c)

$m>2$

d)

$m>1.6$

115.

Describe the solution set:

2(x + 5) < 2x + 5

a)

one solution

b)

no solution

c)

infinitely many solutions

d)

two solutions

116.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

117.

2(x + 2) ≥ 2x + 4

a)

No real solution

b)

All real numbers

c)

x ≥ 2

d)

x ≥ 6

118.

The Starlight Bowling Alley charges $6 to rent shoes and $8 per game. Cameron has only $42 to spend. Which inequality represents this scenario if “x” represents the number of games Cameron can play?

a)

6x + 8 ≥ 42

b)

8x + 6 ≤ 42

c)

6x + 8 > 42

d)

8x + 6 < 42

119.

Svetlana's hair is 4 centimeters long. Her hair grows 1.5 centimeters per month. Svetlana wants her hair to grow so that it is at least 7 centimeters long. Write an inequality to determine the number of months, m, it will take Svetlana's hair to grow so it is at least 7 centimeters long.

a)

4+ 1.5m <= 7

b)

1.5m - 4 <=7

c)

1.5m - 4>= 7

d)

1.5m + 4 >= 7

120.

Which situation can be represented by the inequality
15 + 6x ≤ 100?

a)

Lazer Zone charges $15 plus $6 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

b)

Lazer Zone charges $6 plus $15 per person. If Andrea has a maximum of $100 to spend, how many people can Andrea invite to play laser tag?

c)

Lazer Zone charges $15 plus $6 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

d)

Lazer Zone charges $6 plus $15 per person. If Andrea has a minimum of $100 to spend, how many people can Andrea invite to play laser tag?

121.

Match the inequality to the word problem.Katie wants to have at least $200 in her bank account by the end of the month. She currently has $25 in her bank account. Katie makes $12 for each dog that she walks. How many dogs would Katie have to walk to reach her goal of $200?

a)

25 - 12x ≥ 200

b)

25 + 12x ≥ 200

c)

13x ≥ 200

d)

25 + 12x > 200

122.

Write an inequality for the situation:
George rented a bike for 4 hours. There was a $10 dollar deposit to pay in addition to the hourly rate. What was the hourly rate if the total came to less than or equal to $65?

a)

10x + 65 ≥ 40

b)

4x + 10 ≤ 65

c)

4x - 10 ≤ 65

d)

65 + 4x ≥ 40

123.

3. Keith has $500 in a savings account at the beginning of the summer. He wants to have at least $200 at the end of the summer. He withdraws $25 per week for food, clothing, and movie tickets. How many weeks can Keith withdraw money from his account?

a)

16 weeks

b)

14 weeks

c)

12 weeks

d)

10 weeks

124.

A limo driver needs to make more than $450 in one day. He charges a rental fee of $375 and $0.85 per mile. What inequality represents the number of miles, x, he would have to drive to reach his goal?

a)

0.85x + 375 > 450

b)

0.85x + 375 < 450

c)

0.85 + 375x > 450

d)

0.85 + 375x < 450

125.

Suzy is buying In-N-Out Burger for lunch for her friends. The hamburgers cost $3.50 each and the drinks cost $1.50 each. She wants to spend no more than $30 on lunch. What inequality represents the number of hamburgers, h, and number of drinks, d, that she can buy?

a)

3.5h + 1.5d ≤ 30

b)

3.5d + 1.5h ≤ 30

c)

3.5h + 1.5d ≥ 30

d)

3.5h + 1.5d < 30

Chapter 5 (Inequalities) Review

Total questions: 125

Worksheet time: 10hrs 9mins

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