Free Printable Module 7 Study Guide

1.

Which inequality is represented by the following graph

a)

x < -8

b)

x > -8

c)

x ≥ -8

d)

x ≤ -8

2.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

3.

10 ≥ x - 3

a)

x ≤ 13

b)

x ≥ 13

c)

x ≤ 7

d)

x ≥ 7

4.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

5.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

6.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

7.

Solve
(n/3) > -20

a)

n > 60

b)

n < -17

c)

n > -60

d)

n < -23

8.

How would you solve this inequality?
m - 9 ≤ 20

a)

By adding 20 to both sides

b)

By subtracting 9 to both sides

c)

By adding 9 to both sides

d)

By subtracting 20 to both sides

9.

a)

z≤1

b)

z>9

c)

z≤9

d)

z<9

10.

a)

x<4

b)

x≤1

c)

x≤4

d)

x≥1

11.

What inequality does the number line represent?

a)

x ≥ 3

b)

x > 3

c)

x < -3

d)

x ≤ 3

12.

Fewer than 20 students attended activity night.

a)

x < 20

b)

x < 20

c)

x > 20

d)

x > 20

13.

Level 1

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

14.

Level 1

Write an inequality for the statement:

You must be at least 48 inches tall to ride the bumper cars.

a)

h < 48

b)

h > 48

c)

h ≤ 48

d)

h ≥ 48

15.

Level 2

-4 + y < -8

a)

y < 4

b)

y < -12

c)

y < -4

d)

y < 12

16.

Level 3

Solve.

a)

a ≥ -104

b)

a ≤ 5

c)

a ≤ -8/13

d)

a ≥ -8/13

17.

Level 3

Solve the inequality.

a)

x ≤ 6

b)

x ≥ 6

c)

x ≤ -6

d)

x ≥ -6

18.

Ava's brother is at least 2 years older than she is. He is at least 18 years old. Which inequality represents Ava's age?

a)

$m-2\ge18$

b)

$m+2\ge18$

c)

$2m\ge18$

d)

$\frac{m}{2}\ge18$

19.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

20.

-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

21.

Solve for k.

7k – 2 ≥ -9

a)

k ≤ -1

b)

k≤1

c)

k≥1

d)

k ≥ -1

22.

Solve for u.
u/7 – 1 ≤ 1

a)

14≥u

b)

14≤u

c)

u≤14

d)

u ≤ -14

23.

Solve the inequality.
-8k - 4 ≤ -60

a)

k < 7

b)

k > 7

c)

k ≤ 7

d)

k ≥ 7

24.

Solve the inequality.
-n + 8 < 26

a)

n < -18

b)

n > -18

c)

n ≤ -18

d)

n ≥ -18

25.

Solve the inequality.
-2x + 9 ≤ -11

a)

x > 10

b)

x < 10

c)

x ≥ 10

d)

x ≤ 10

26.

Solve and graph the inequality.
7n - 1 > 76

a)

A

b)

B

c)

C

d)

D

27.

2- 3x ≤ 20

a)

x ≥ -6

b)

x ≤ -6

c)

x ≤ -7

d)

x ≥ -7

28.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

29.

Emilia needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.

What is the least number of cars she can wash to buy the headphones?

Define the variable.

a)

let x = Emilia

b)

let x = the number of cars she needs to wash

c)

let x = the number of headphones she wants to buy

d)

let x = the money she already saved

30.

Emilia needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.

What is the least number of cars she can wash to buy the headphones?

Write the inequality to the problem.

a)

14x+30 ≥ 240

b)

14x+30 ≤ 240

c)

30x+14 ≥ 240

d)

30x+14 ≤ 240

31.

Emilia needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.

What is the least number of cars she can wash to buy the

headphones?

Solve the inequality/answer the question.

a)

x ≥ 15

b)

x ≤ 15

c)

x > 15

d)

x < 15

32.

Ruby set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Define the variable.

a)

let x = Ruby

b)

let x = the number of weeks to reach her goal

c)

let x = her monthly allowance

d)

let x = her savings account

33.

Ruby set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Write the inequality to the problem.

a)

5x+60 ≥ 200

b)

5x+60 ≤ 200

c)

60x+5 ≥ 200

d)

60x+5 ≤ 200

34.

Ruby set a goal of saving at least $200 in a savings account.

She currently has $60 in the account. If she invests $5 of her weekly allowance per week, how many weeks will it take her to reach her goal?

Solve the inequality/answer the question.

a)

x ≥ 28

b)

x ≤ 28

c)

x > 28

d)

x < 28

35.

Griffin earns a weekly salary of $300. He also earns a commission (bonus) of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly

pay of at least $550?

Write the inequality to the problem.

a)

0.04x+300 ≥ 550

b)

0.04x+300≤ 550

c)

4x+300 ≥ 550

d)

4x+300 ≤ 550

36.

Griffin earns a weekly salary of $300. He also earns a commission (bonus) of 4% on all of his sales. What is the minimum dollar amount of sales he must make to have a total weekly

pay of at least $550?

Solve the inequality/answer the question.

a)

x ≥ $6250

b)

x ≤ $6250

c)

x ≥ $62.50

d)

x ≤ $62.50

37.

Jillian needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car?

Write the inequality to the problem.

a)

50x+1/2 ≥ 4800

b)

1/2x+50 ≤ 4800

c)

50x+2400 ≥ 4800

d)

50x+2400 ≤ 4800

38.

Jillian needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car?

Solve the inequality/answer the question.

a)

x ≥ 48

b)

x ≤ 48

c)

x ≥ 24

d)

x ≤ 24

39.

Elliott decides to take his friends to a movie with his $50 of birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. What is the maximum number of friends Elliott could take with him to the movies?

Write the inequality to the problem.

a)

6.25x+9.75 ≥ 50

b)

6.25x+9.75 ≤ 50

c)

9.75x+6.25 ≥ 50

d)

9.75x+6.25 ≤ 50

40.

Elliott decides to take his friends to a movie with his $50 of birthday money. He must take one adult with him. An adult ticket costs $9.75. Each child ticket cost $6.25. What is the maximum number of friends Elliott could take with him to the movies?

(Be careful here- Elliott has to be removed from the group of friends before you answer!)

Solve the inequality/answer the question.

a)

x ≥ 5

b)

x ≤ 6

c)

x ≥ 7

d)

x ≤ 7

41.

You have $14 in your pocket. A taxi has a ride fee of $5 plus an additional fee of $0.60 per mile. What is the most miles you could ride in the taxi?

(Mileage is rounded up if you stop before a complete mile.)

Write the inequality to the problem.

a)

0.60x+5 ≥ 14

b)

0.60x+5 ≤ 14

c)

0.60x+5 > 14

d)

0.60x+5 < 14

42.

You have $14 in your pocket. A taxi has a ride fee of $5 plus an additional fee of $0.60 per mile. What is the most miles you could ride in the taxi?

(Mileage is rounded up if you stop before a complete mile.)

Solve the inequality/answer the question.

a)

x ≥ 15

b)

x ≤ 15

c)

x > 15

d)

x < 15

43.

2- 3x ≤ 20

a)

x ≥ -6

b)

x ≤ -6

c)

x ≤ -7

d)

x ≥ -7

44.

22 < 6c + 4

a)

11>c

b)

3>c

c)

11<c

d)

3<c

45.

Do I need to flip my sign?
-3x ≥ 12

a)

Yes

b)

No

46.

When graphing b < 6 would you use an open or closed circle?

a)

Open

b)

closed

47.

Solve and graph the inequality.
7n - 1 > 76

a)

A

b)

B

c)

C

d)

D

48.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

49.

Match the graph with its inequality.

a)

a < 11

b)

a > 11

c)

a ≤ 11

d)

a ≥ 11

50.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

51.

-3x − 4 < 5

a)

x > -3

b)

x < -3

c)

x < (1 ⁄ 3)

d)

x > (1 ⁄ 3)

52.

Solve and graph the inequality.
77 ≤ 5 + 8n

a)

A

b)

B

c)

C

d)

D

53.

Solve and graph the inequality.
-169 ≤ 8m - 9

a)

A

b)

B

c)

C

d)

D

54.

Solve and graph the inequality.
-3 ≥ (ⁿ/₃) - 7

a)

A

b)

B

c)

C

d)

D

55.

Solve and graph the inequality.
7n - 1 > 76

a)

A

b)

B

c)

C

d)

D

56.

Which number line shows the solution to:
11x + 14 < –8?

a)

a

b)

b

c)

c

d)

d

57.

Which graph matches the inequality

k < 3?

a)

A

b)

B

c)

C

d)

D

58.

Which graph matches the inequality
2 > p?

a)

A

b)

B

c)

C

d)

D

59.

Which graph matches the inequality
-2 ≥ n?

a)

A

b)

B

c)

C

d)

D

60.

Which graph matches the inequality
r ≥ -6?

a)

A

b)

B

c)

C

d)

D

61.

Which graph matches the inequality
½ ≤ a?

a)

A

b)

B

c)

C

d)

D

62.

Which graph matches the inequality
b ≥ -³/₂?

a)

A

b)

B

c)

C

d)

D

63.

Which graph matches the inequality
³/₂ ≥ p?

a)

A

b)

B

c)

C

d)

D

64.

Which graph matches the inequality
¹/₂ > b?

a)

A

b)

B

c)

C

d)

D

65.

Which graph matches the inequality
-0.2 ≤ x?

a)

A

b)

B

c)

C

d)

D

66.

Which graph matches the inequality
x < -1.1?

a)

A

b)

B

c)

C

d)

D

67.

Which graph matches the inequality
x < -2.8?

a)

A

b)

B

c)

C

d)

D

68.

Which graph matches the inequality
2.5 ≤ x?

a)

A

b)

B

c)

C

d)

D

69.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

70.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

71.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

72.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

73.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

74.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

75.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

76.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

77.

Which inequality matches the graph?

a)

A

b)

B

c)

C

d)

D

78.

What inequality does the number line graph represent?

a)

x > 5

b)

x < −5

c)

x ≥ 5

d)

x ≥ −5

Module 7 Study Guide

Total questions: 78

Worksheet time: 3hrs 45mins

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