Free Printable Writing Linear Equations from Word Problems

Worksheets

Writing Linear Equations from Word Problems

Total questions: 14

Worksheet time: 2hrs 54mins

Name

Class

Date

Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat. Write an equation for C, the total cost, to rent the boat for h hours.

h = 2C + 15

C = 15h + 2

h = 15C + 2

C = 2h + 15

Margaret is a waitress at The Seafood Bonanza. She earns $3 an hour plus 90% of her tips. Write an equation for her salary, S, if she works h hours and earns d dollars in tips.

3h + 0.90d = S

S = 90d + 3h

S = 3d + 90h

S = 3h + 9.0d

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)

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 + 0.20x

C =15 (0.20x)

C = 15 + x + 0.20

C = 0.20 + 15x

Lisa went to the mall to do her back-to-school shopping. When she returned, she noticed that the number of shirts (s) she purchased was 3 more than twice the number of pants (p) she bought. What is an equation that can be used to represent the number of shirts Lisa purchased?

p=3 + 2s

s + 2p =3

s = 3 + 2p

2p = s + 3

Gracie wants to increase the size of her garden. If A = lw represents the current area of her garden, what is an equation that can be used to represent the resulting are of Gracie's garden if she increases the length by 5 and doubles the width?

A = 10lw

A = 2wl + 10w

A = 2w (l - 5)

A = 10wl + 2w

Norb is a waiter in a diner. He earns $4 per hour plus 95% of his tips. Which equation can be used to determine his salary, S, if he works t hours and earn d dollars in tips?

S = 4t + 0.95d

S = 95t + 4d

S = 0.4t + 9.5d

S = 4t + 9.5d

A rental company at Best Bargain Rental costs $150 a week, plus $0.10 per mile. Which equation represents the relationship between the number of miles (x) and the total cost in dollars (y) for a 2- week period?

y = 2(150)(0.10x)

y = 2(150) + 0.10x

y = 150 + 2(0.10x)

y = 2(150 + 0.10x)

Bob's Plumbing charges $15 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

y = 15x + 40

y = 40x + 15

y = 15x

y = 15x - 40

10.

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

40x + 20 = 340

20x + 40 = 340

20x - 40 = 340

20 + 340 = 40x

11.

Scott's Automotive charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie was charged $63.

35x + 7 = 63

7x = 63

7x - 35 = 63

7x + 35 = 63

12.

The world's two highest dams are both in Tajikistan. The Rogun Dam is 35 meters taller than the Nurek Dam. Together they are 635 meters tall. Which equation can be used to determine the height of Nurek Dam?

35x + 2 = 635

2x - 35 = 635

2x + 35 = 635

x + 35 = 635

13.

A holiday meal cost $12.50 a person plus a delivery fee of $30. Which equation represents the amount a holiday meal costs(y), including delivery, for x people?

y = 12.50 + 30x

y = 30 + 12.50x

y = 12.50 + 30

12.50x = 30

14.

Ace Telecommunications charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for it phone service. Which equation can be used to find c, the total cost for one month when m, minutes are used?

c = 0.12m + 8m

c = 8m + 0.12m

c = 0.12m + 8

c = 0.20m

100 %

Writing Linear Equations from Word Problems

Total questions: 14

Worksheet time: 2hrs 54mins

Similar Resources on Wayground