Free Printable Equations and Inequality Word Problems

Worksheets

Equations and Inequality Word Problems

Total questions: 27

Worksheet time: 7hrs 45mins

Name

Class

Date

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven. What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

222.5 = m(35 + 0.75)

222.5 = 35 + 0.75m

222.5 = 0.75 + 35m

222.5 = 0.75(m + 35)

Ken has $264 in his bank account. He needs to deposit enough money to make his car payment of $189 and still have at least $150 left in his account. Which inequality describes d, the amount of money Ken needs to deposit?

264 + 189 + d ≥150

d(264 - 189) ≥ 150

264 - 189 + d ≥ 150

d - 189 ≥150

The Bombetta Company wants to send a team of three representatives to a conference. Their budget is $700.00 plus $125.00 per day for expenses. If their total budget cannot exceed $1,400.00, which of the following inequalities expresses this situation?

125x + 700 ≥1,400

700 + 125x ≤1,400

700x + 125 ≤1,400

125x - 700 ≤ 1,400

At the Big Bear video rental store, blank CDs cost $1.50 each and blank DVDs cost $3.25 each. Which of the following statements best describes the number of CDs (c) and DVDs (d) that can be purchased for less than $65.00?

150c + 325d < 6,500

325c + 150d <6,500

150c + 325d ≤ 6,500

325c + 150d ≤ 6,500

A donut shop charges $0.70 for each donut and $0.30 for a carryout box. Shirley has $5.00 to spend. She needs to determine the most donuts (x) she can buy when she only puts them in one carryout box. Which equation can be used to answer this problem?

70x + 30 < 500

30x + 70 < 500

70x + 30 ≤500

30x + 70 ≤ 500

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?

1.75n + 0.75 ≥ 20

1.75n + 0.75 ≤ 20

0.75n + 1.75 ≥ 20

0.75n + 1.75 ≤ 20

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?

30x + 600 > 1,500

30x + 600 ≥ 1,500

30x + 600 < 1,500

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

50 + 20m = 290

20 + 50m = 290

50 + 20 = m

50m - 20 = 290

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

7x + 35 = 63

7x = 63

7x - 35 = 63

35x + 7 = 63

10.

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if she spends $35 in all.

.50x + 20 = 35

.50x = 35

.50 + 20x = 35

.50x - 20 = 35

11.

331 students went on a field trip. Six buses were filled and 7 students traveled in cars. The equation from the last problem was: 6x+7=331. How many students were in each bus?

12.

Jim paid a gym membership fee of $50, plus $20 per month. Jim has paid a total of $290 to the gym. Which equation matches this situation?

50 + 20m = 290

20 + 50m = 290

50 + 20 = m

50m - 20 = 290

13.

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

7x + 35 = 63

7x = 63

7x - 35 = 63

35x + 7 = 63

14.

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

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?

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?

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?

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?

15.

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?

5x + 10 ≥ 100

5x - 100 ≥ 10

10x + 5 ≤ 100

5x + 10 > 100

16.

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?

125x + 55 ≤ 600

125x + 55 ≥ 600

125x + 55 > 600

125x + 55 < 600

17.

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?

10x + 1.50 ≥ 40

1.50x + 10 ≤ 40

1.50x + 10 <40

10x + 1.50 < 40

18.

Hailey bought a book for $2.50 and 4 stickers. She spent a total of 6.59. How much did the stickers cost?

$2.50 + 4s =$6.59

$2.50 - 4s =$6.59

$2.50s + 4 = $6.59

4s - $2.50 = $6.59

19.

Seven friends bought pizza. Each friend pitched in the same amount. If the pizza came to a total of $14.49, how much did each friend pay?

7 - p = $14.49

7 + p = $14.49

7p = $14.49

7/p = $14.49

20.

Jazmine joined a music club. The start up fee was $10.00. Each song she downloads is $0.99. If she spent a total of $15.94, how many songs did she download?

$10.00 + $0.99m = $15.94

$10.00/$0.99m = $15.94

$10.00 - $0.99m = $15.94

$10.00m + $0.99 = $15.94

21.

Jenna earns $15.00 a month for allowance. How many months will it take her to save $105.00?

$15.00 + w = $105.00

$15.00w = $105.00

$15.00 - w = $105.00

$15.00 / w = $105.00

22.

A bag of candy was shared equally among 4 friends. Each friend gave away 7 pieces of candy. They each ended up with 8 pieces of candy. Write an equation to find how much candy was in the bag at the beginning.

c/7 - 4 = 8

4/c - 7 = 8

c/4 + 7 = 8

c/4 - 7 = 8

23.

A computer printer can print 10 pages per minute. There were already 35 pages in the tray. The total pages printed was 115 pages. How many minutes has the printer been running?

10m - 35 = 115

10m + 35 = 115

35 - 10m = 115

m = 115 - 35/10

24.

Terry had his car repaired at Ace Auto. He was charged $50 per hour of labor plus $150 for parts. His total bill for the repair before tax was $375. How many hours of labor was Terry charged for?

50 + 150 + h = 375

150h = 375 - 50

50h - 150 = 375

375 = 150 + 50h

25.

Amy had some candy to give to her four children. She first took ten pieces for herself and then evenly divided the rest among her children. Each child received two pieces. With how many pieces did she start?

2(x-10)=4

x-10=2(4)

x-10/4=2

(x-10)/4=2

26.

Keith bought 5 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 40 cards left. How many cards did Keith start with?

40 = 1/2 (c + 5)

40 - 5 = c

c = 1/2 (40) + 5

1/2c + 5 = 40

27.

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be used to determine her monthly cell phone bill (C)?

C = 15 + x + 0.20

C =15 (0.20x)

C = 0.20x + 15

C = 0.20 + 15x

Reset

Equations and Inequality Word Problems

Total questions: 27

Worksheet time: 7hrs 45mins

Similar Resources on Wayground