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INEQUALITY Review

Total questions: 39

Worksheet time: 29mins

Name
Class
Date
1.

Lea 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

2.

Sylvia 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

3.

Sam earns a weekly salary of $300. He also earns a commission 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 $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

4.

Dylon decides to takes 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 Dylon 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

5.

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 without using all of your money?

(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

6.
Do I need to flip my sign?
-3x  ≥ 12
a)
Yes
b)
No
7.
Solve and graph the inequality.
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
8.
-9a - 1 < 26
a)
a < -3
b)
a < 3
c)
a > -3
d)
a > 3
9.

Last Friday Samantha had $22.50. Over the weekend, she received some money for cleaning. She now has more than $32.00. Which inequality represents this situation?

a)

22.50 - x > 32

b)

22.50x > 32

c)

22.50 + x > 32

d)

22.50 +x < 32

10.
16 - 4a > 8
a)
a<-2
b)
a>-2
c)
a<2
d)
a>2
11.
Do I need to flip my sign?
3x  ≥ 12
a)
Yes
b)
No
12.
Solve and graph the inequality.
7n - 1 > 76
a)
A
b)
B
c)
C
d)
D
13.
-3x − 4 < 5
a)
x > -3
b)
x < -3
c)
x < (1 ⁄ 3)
d)
x > (1 ⁄ 3)
14.
Solve the inequality.
-3w - 2 < -17
a)
w < 7.67
b)
w > 5
c)
w < 5
d)
w < 6.33
15.
2- 3x ≤ 20
a)
≥ -6
b)
≤ -6
c)
≤ -7
d)
≥ -7
16.
Solve and graph the inequality.
-169 ≤ 8m - 9
a)
A
b)
B
c)
C
d)
D
17.
Solve and graph the inequality.
-3 ≥ (n/3) - 7
a)
A
b)
B
c)
C
d)
D
18.
a)
A
b)
B
c)
C
d)
D
19.
a)
A
b)
B
c)
C
d)
D
20.
a)
A
b)
B
c)
C
d)
D
21.
-4x + 14 ≤ 54
a)
x ≥ - 10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
22.

-9a - 1 < 26

a)

a < -3

b)

a < 3

c)

a > -3

d)

a > 3

23.
a)

x < -20

b)

x > -20

c)

x > 20

d)

x < 20

24.

11 > -3y + 2

a)

-3 > y

b)

-3 < y

c)

3 > y

d)

3 < y

25.
a)

145

b)

165

c)

180

d)

190

26.
-3x − 4 < 5
a)
x > -3
b)
x < -3
c)
x < (1 ⁄ 3)
d)
x > (1 ⁄ 3)
27.

Which inequality matches the above word problem?

a)
b)
c)
28.
a)
b)
c)
29.
a)
b)
c)
30.

Find the solution

a)

X 6.5X\ \le\ 6.5

b)

X >2X\ >2

c)

X 10X\ \ge\ 10

d)

X 10X\ \le\ 10

31.
a)
b)
c)
32.
-75 + 50x < 125
a)
x < 4
b)
x > 4
c)
x < 10 
d)
x > 10 
33.
Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?
a)
10x + 1.50 ≥ 40
b)
1.50x + 10 ≤ 40
c)
1.50x + 10 <40
d)
10x + 1.50 < 40
34.
The temperature in the ice rink must stay below 50°F. This morning, the temperature was 71°F. The ice rink runs a cooling device that can decrease the temperature by 3.5° every hour. Which inequality shows how long it will take for the temperature to fall below 50°F?
a)
50 + 3.5x < 71
b)
71 - 3.5x < 50
c)
71 - 3.5x ≤ 50
d)
71 + 3.5x < 50
35.
Triniti had $500 in a saving account at the beginning of the summer. She wants to have at least $200 in the account by the end of the summer. She withdraws $25 each week for food, clothes, and movie tickets. Which inequality represents her situation?
a)
200 + 25x ≥ 500
b)
500 + 25x ≥ 200
c)
500 - 25x ≥ 200
d)
500 - 25x ≤ 200
36.
The vet told Casey that her dog should weigh at most 70 lbs. Her dog weighs 106 pounds, so Casey set a goal that he would lose 4 pounds per week. Which inequality represents the number of weeks it take for Casey's dog to reach 70 lbs?
a)
106 - 4x ≤ 70
b)
70 + 4x ≤ 106
c)
4x - 106 ≥ 70
d)
106 - 4x< 70
37.
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?
38.
Which word problem represents the inequality:
x + 32 ≥ 80
(Show work by writing down inequality clue words.)
a)
Janine's goal is to earn at least $80 for soccer camp.  She has earned $32 so far.  How much more does she need to earn?
b)
Janine made more than 80 points during the basketball season.  She made 32 points the first five games.  How much did she score the rest of the games?
c)
Janine scored above an 80 on her math homework.  But, she turned her work in late and was deducted 32 points.  What did she make after the deduction?
39.

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