Free Printable Linear Relationships

Worksheets

Linear Relationships - Verbal Descriptions

Total questions: 20

Worksheet time: 2hrs 40mins

Name

Class

Date

Which equation matches the table?

y =4 x + 7

y = 1/4x +11

y = 4x -11

y = 11x + 4

What could this represent? 7x + 2 = 30

Buying pet turtles for $7 each plus two cans of turtle food cost $30.

Seven bags of candy plus 2 extra snickers bars equals 30 dollars.

Two yoyos plus seven frisbees is thirty cents.

Buying seven calculators plus $2 per bundle of pencils is $30.

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. What is the cost for a 2-hour rental?

h = 2C + 15; $19

C = 15h + 2; $32

h = 15C + 2; $32

C = 2h + 15; $19

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)? What is her monthly phone bill if she uses 300 minutes of airtime?

C = 15 + 0.20x; $75.00

C =15 (0.20x); $90.00

C = 15 + x + 0.20; $32.00

C = 0.20 + 15x; $32.20

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

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? What would the total cost be for a holiday meal for 14 people?

y = 12.50 + 30x; $432.50

y = 30 + 12.50x; $205.00

y = 12.50 + 30; $402.50

12.50x = 30; $175.00

Robin has $500 in her bank account. Each month she pays $70 for her phone bill. Write an equation to represent this situation.

y = 500x + 70

y = 500 - 70

y = -70x + 500

y = 500 + 70x

10.

Which of the following situations could be descried by the equation y= -25x + 120

There are 120 people in the football stadium, and 25 more are entering each hour.

A plumber charges $25 for a house call and $120 per hour.

A teacher has 120 students. Her third period has 25 students

There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

11.

Bowling costs $4 for shoe rental plus $5 for every game. Which equation shows how much it costs to go bowling for x games? What is the total cost if 3 games were played?

y = 4 + 5x; $19.00

y = 5 + 4x; $17.00

y = 4•5•x; $60.00

y = 5x - 4; $11.00

12.

A dog walker earns $10 plus $3 per dog. What equation represents this model?

y=3x + 10

y=10x + 3

y=13x

y=10x - 3

13.

You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.

y=15x-25

15x+25y=100

25x+y=15

y=15x+25

14.

A yoga class in a fitness center charges a $200 registration fee plus $12 per lesson. Write an equation to determine the amount of money a person will spend (y) for any number of lessons (x).

y = 200x + 12

x = 200 + 12y

y = 12x + 200

15.

A store sells new video games for $55 each. Used video games sell for $12 each. Jacob is buying 3 new video games and x used video games. Which equation can be used to find y, the total price Jacob must pay in dollars?

y = 12x + 55

y = 12x + 165

y = 55x + 12

y = 165x + 12

16.

Which situation can be modeled by this relationship (function)?

The cost in dollars of buying x items that cost $245 each

The number of miles an airplane had traveled after flying 620 miles per hour for x hours

The remaining number of miles on a 620 mile trip after traveling 55 miles per hour for x hours

The amount owed on a $620 loan after paying $65 per month for x months

17.

John is having a new deck built. He paid $485 for the required materials, and he will pay his brother $25 an hour to build the deck. Which table shows the relationship between h, the number of hours John's brother works, and c, the total cost of the project.

18.

Ramona is walking 10,000 feet for a fundraiser. She walks at a rate of 270 feet per minute. This situation is modeled by the equation below, where d represents the remaining number of feet Ramona has to walk and t represents the number of minutes she has already walked.

d = 10,000 - 270t

Which table shows only values that satisfy this equation?

19.

What type of slope?

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positive slope

negative slope

zero slope

20.