Free Printable Inequalities and Inequality word problems

1.

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

2.

Joan needed $100 to buy a graphing calculator for her math class. Her neighbor will pay her $5 per hour to babysit and her Father gave her $10 for mowing the lawn. Which inequality represents the minimum amount of hours she will need to babysit in order for her to buy her calculator?

a)

5x + 10 ≥ 100

b)

5x - 100 ≥ 10

c)

10x + 5 ≤ 100

d)

5x + 10 > 100

3.

Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

a)

20x + 120 ≥ 3

b)

x/3 + 20 ≤ 120

c)

3x + 20 ≤ 120

d)

3x + 20 ≥ 120

4.

The dance committee hired a DJ for the fall dance. The DJ charges $125 per hour in addition to $55 for an assistant. The committee wants to keep the total cost under $600. Which inequality represents the maximum amount of hours the DJ will play at the dance?

a)

125x + 55 ≤ 600

b)

125x + 55 ≥ 600

c)

125x + 55 > 600

d)

125x + 55 < 600

5.

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

6.

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

7.

A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?

a)

1.75n + 0.75 ≥ 20

b)

1.75n + 0.75 ≤ 20

c)

0.75n + 1.75 ≥ 20

d)

0.75n + 1.75 ≤ 20

8.

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

a)

30x + 600 > 1,500

b)

30x + 600 ≥ 1,500

c)

30x + 600 < 1,500

d)

30x + 600 < 1,500

9.

Write an inequality for this situation:
You are driving, and the maximum speed limit is 55.

a)

s < 55

b)

s > 55

c)

s ≤ 55

d)

s ≥ 55

10.

Which sentence represents m > 41?

a)

Mary’s points, m, totaled more than 41

b)

Calvin ran no less than 41 miles, m

c)

The temperature, m, was less than 41°F

d)

The magazines’ cost, m, was not more than $41.

11.

Which represents the word sentence as an inequality?
A number w is smaller than 5.

a)

w < 5

b)

w > 5

c)

w ≤ 5

d)

w ≥ 5

12.

Which inequality represents the statement below. I can have no more than 10 pieces of candy.

a)

x ≥ 10

b)

x > 10

c)

x ≤ 10

d)

x < 10

13.

Erin can read at least 80 words per minute. Write an inequality to show this situation.

a)

x > 80

b)

x < 80

c)

x ≥ 80

d)

x ≤ 80

14.

A parking garage charges $4.50 for each hour you park. You have $18 in your pocket. How many hours can you park?

a)

x > 4

b)

x < 4

c)

x ≤ 4

d)

x ≥ 4

15.

Sam make $10.25 per hour working at Cheddars. He plans to buy a laptop for $550. Write and solve an inequality describing how many hours h Sam will have to work to be able to buy the laptop. (Round to the next higher hour)

a)

10.25h < 550; less than 54 hours

b)

10.25h > 550; greater than 54 hours

c)

10.25h ≤ 550; at most 54 hours

d)

10.25h ≥ 550; at least 54 hours

16.

Solve for t.

6t + 4 ≤ -2

a)

t ≤ -1

b)

t ≤ 1

c)

t=1

d)

1=t

17.

-3y + 2 > 11

a)

y < -3

b)

y > -3

c)

y < 3

d)

y > 3

18.

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

a)

Open

b)

closed

19.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

20.

16 - 4a > 8

a)

a<-2

b)

a>-2

c)

a<2

d)

a>2

21.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

22.

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

a)

A

b)

B

c)

C

d)

D

23.

Which point makes the inequality true?-4x + 9 ≤ -23

a)

x = - 4

b)

x = 7

c)

x = -10

d)

x = 9

24.

Solve and graph the inequality.
3 + 9k > 111

a)

A

b)

B

c)

C

d)

D

25.

2/5(x) + 1 > 11

a)

x > 4

b)

x > 10

c)

x < 4

d)

x < 10

26.

Mr. Martinez can install 10 fence poles per hour. How many hours did he work if he installed at least 35 fence poles today?
This one is also VERY tricky!

a)

3.5 hours or more

b)

3.5 hours

c)

Less than 3.5 hours

d)

3.5 hours or less

27.

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. How far can she go?

a)

1.75 + 0.65m < 10

b)

1.75 + 0.65m > 10

c)

1.75m + 0.65 < 10

d)

1.75m + 0.65 > 10

28.

To order from the kids menu a person must be no more than 12 years old.

a)

x > 12

b)

x < 12

c)

x ≥ 12

d)

x ≤ 12

29.

A student must be at least 15 years old to obtain a driver’s permit.

a)

x > 15

b)

x < 15

c)

x ≤ 15

d)

x ≥ 15

30.

Johnny earns $15 per hour dog walking. He wants to earn at least $105 to buy a new bike. Which inequality represents how long Johnny needs to work to afford his new bike?

a)

15h ≤ 105

b)

15h > 105

c)

15h < 105

d)

15h ≥ 105

31.

Write an inequality:
Twenty-two more than four times a number is less than 82.

a)

22 + 4n ≤ 82

b)

22 + 4n > 82

c)

82 + 22n ≥ 4

d)

22 + 4n < 82

32.

Which inequality is represented by the words " no more than" or "at most"?

a)

<

b)

>

c)

≤

d)

≥

33.

Which inequality is represented by the words " more than"?

a)

<

b)

>

c)

≤

d)

≥

34.

Which inequality is represented by the words "less than"?

a)

<

b)

>

c)

≤

d)

≥

35.

Which inequality is represented by the words " at least"?

a)

<

b)

>

c)

≤

d)

≥

36.

Mrs. Scott decided that she would spend no more than $120 to buy a jacket and a skirt. If the price of the jacket was $20 more than 3 times the price of the skirt, which inequality represents the highest possible price of the skirt?

a)

20x + 120 ≥ 3

b)

x/3 + 20 ≤ 120

c)

3x + 20 ≤ 120

d)

3x + 20 ≥ 120

37.

Tyler has no more than $20 in his bank account.

a)

>

b)

<

c)

>

d)

<

38.

There are less than 180 days left of school.

a)

>

b)

>

c)

<

d)

<

39.

Haley hopes to make higher than a 90 in Math this quarter.

a)

>

b)

>

c)

<

d)

<

40.

The maximum capacity for the Movie Theatre is 455 people.

a)

<

b)

>

c)

<

d)

>

41.

You need no less than a 90 to earn an "A" on your Report Card.

a)

<

b)

>

c)

>

d)

<

42.

Little Italy's special events room can seat at most 50 guests.

a)

>

b)

>

c)

<

d)

<

43.

I have fewer than 100 students to teach each day.

a)

>

b)

>

c)

<

d)

<

44.

The minimum height to ride the Intimidator roller coaster at Carowinds is 4'6".

a)

>

b)

<

c)

>

d)

<

45.

The Autobahn allows a speed limit of 81mph in most parts.

a)

>

b)

<

c)

>

d)

<

46.

Greater Than

a)

>

b)

>

c)

<

d)

<

47.

Less Than or Equal To

a)

>

b)

>

c)

<

d)

<

48.

You must be at least 16 years old to drive a car.

a)

>

b)

<

c)

<

d)

>

49.

Less Than

a)

>

b)

>

c)

<

d)

<

50.

Greater Than or Equal To

a)

>

b)

<

c)

>

d)

<

Inequalities and Inequality word problems

Total questions: 50

Worksheet time: 50mins

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