Free Printable Linear Equations with Word Problems

Worksheets

Linear Equations with Word Problems

Total questions: 35

Worksheet time: 1hrs 10mins

Name

Class

Date

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

y = 8x + 50

C = 50m +8

y = 50x + 8

C = 8m + 50

A T-shirt design company charges your team an initial fee of $25 to create the team's design. Each t-shirt printed with your design costs an additional $8. The equation for this situation is y = 8x + 25. Interpret the y-intercept in context.

The additional fee of $8.

The initial fee of $25.

The additional fee of $25.

The initial fee of $8.

Derrick started up a charity for the local animal shelters. He started selling handmade dog leashes for $5. It cost him $120 to get the supplies to make the leashes. Write an equation for the amount of money he raises, A, if he sells x amount of leashes.

A = 120 + 5x

A = 120x + 5

A = -120 + 5x

A = 120 - 5x

Write an equation in slope-intercept for of the line between the points: (-2, 8) and (3, -12)

y = -(4/5)x + (32/5)

y = -4x

y = -4x + 16

y = 4x

Find the equation of the line in the graph.

y = 2x + 5

y = -2x + 5

y = 5 + 2x

y = - x + 5

Find the slope between the points
(8, 5) and (-9, 5)

Zero

Undefined

-10/17

-10/1

Which is the graph of y= -x + 2?

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

y=15x

y=15x+80

y=x+15

y=80x+15

Which equation best represents the relationship between x and y in the table shown?

y= 5x+5

y=1/5x+5

y=15x+5

y=10x+5

10.

Find the equation of the line in slope-intercept form.

y = - 1/4x - 3

y = 1/3x + 3

y = - 1/4x + 2

y = 1/3x -3

11.

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

12.

Which situation below is representative of y-intercept?

putting $300 a month into savings

buying $30 worth of supplies for a lemonade stand

Spending $3 per ride at the fair

Paying $2 for parking every day

13.

Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?

y = 150 + 40

y = 40x + 150

y = 150x + 40

14.

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

y = 30 + 12.5x

y = 12.5 + 30

y = 12.5 + 30x

15.

Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?

y = 7x + 20

y = 7 + 20x

y = 20 + 7

16.

Sandra has a $20 itunes gift card and spends $3 each month. Which equation can be used to find how much money Sandra has on her giftcard after x months?

y = 3x + 20

y = 3 + 20x

y = -3x + 20

y = -20x + 3

17.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

y + 7 = -1/4(x - 4)

y - 4 = -1/4(x + 7)

y + 7 = 4(x - 4)

y - 7 = -1/4(x - 4)

18.

Write an equation
m = 5 through (-1, -3)

y = 5x + 2

y = -5x - 5

y = -5x + 2

y = 2x - 5

19.

For the equation
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?

-1

-3

20.

Which of these represents slope-intercept form of a linear equation?

y - y₁ = m(x-x₁)

Ax + By = C

y = mx + b

y=kx

21.

Which of these represents point-slope form of a linear equation?

y - y₁ = m(x - x₁)

Ax + By = C

y = mx + b

y=kx

22.

Find the equation of the line that passes through the points:

(2, 2) and (3, 4)

y = 2x + 2

y = -2x - 2

y = -2x + 2

y = 2x - 2

23.

Find the equation of the line that passes through the points:

(-3, 3) and (3, -1)

y = -⅔ x + 1

y = -⅔ x

y = ⅔ x + 1

y = -⅔ x +3

24.

Find the equation of the line that passes through the points:
(3, 3) and (1, -5)

y = -9x + 4

y = 4x - 9

y = ¼ x + 9

y = -9x - 4

25.

Identify the slope and y-intercept of the equation below:
y = -3x + 5

slope: -3
y-intercept: (0, -5)

slope: -3
y-intercept: (5, 0)

slope: -3
y-intercept: (0, 5)

slope: -3
y-intercept: (-5, 0)

26.

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the entrance fee?

1.5

200

27.

The total cost (y) at Six Flags can be modeled by y=1.5x+20 where x is the number of rides you ride. Splash Down Dune's can be modeled by y = 2.4x + 15. Which has the steeper slope?

Six Flags

Splash Down Dunes

They are the same

28.

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the price to ride 10 rides?

21.5

30.50

29.

What does the slope mean in the context of the problem?

The cost will increase by $1.40 per topping

The cost will decrease by $1.40 per topping

The cost will increase by $1.90 per topping

The cost will decrease by $1.90 per topping

30.

What is the meaning of the y-intercept?

The hamburger will cost $1.90 without any toppings.

The hamburger will cost $1.40 without any toppings.

The cost of the hamburger is $1.90 with one topping

The cost of the hamburger doesn't change no matter how many toppings there are.

31.

What is the meaning of the slope?

Her bill will increase by $2.95 for every grandchild she brings.

The cost for Mrs. Franklin's meal is $6.85

Her bill will increase by $6.85 for every grandchild she brings.

The cost for Mrs. Franklin's meal is $2.95

32.

What is the meaning of the y-intercept?

Colby's initial deposit was $100.

Colby's initial deposit was $150

Colby is adding $5 per week

Colby is adding $10 per week

33.

What is the meaning of the slope?

The cost for the service without any hours of calling is $5

The cost of the service without any hours of calling is $6

The cost per minute is $0.05

The cost per minute is $0.50

34.

Write the equation of the line.

y=1/3x-1

y=3/2x -1

y=3x-1

y=2/3x-1

35.

Write the equation for the line.

y= -1x+3

y= 4x+3

y=1/4x+3

y= -4x+3

100 %

Linear Equations with Word Problems

Total questions: 35

Worksheet time: 1hrs 10mins

Similar Resources on Wayground