Linear Equations: Word Problems and Beyond

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Your four-month bill for the gym comes to $221. That includes the cost per month of $50 plus the one-time membership fee. How much is the membership fee?

• $21

• $171

• $4.42

• $15.50

Tags

CCSS.7.EE.B.4A

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.

Tags

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7

Linda bought a Bloodgood Japanese Maple tree. In two years, the tree was 7' tall and in 10 years the tree grew to its mature height of 15'. Write an equation in slope-intercept form that shows the number of years, t, it takes to reach a certain height, h.

• h = - t + 9

• h = t + 5

• h = t - 9

• h = -t + 5

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

CCSS.HSS.ID.C.7

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

Tags

CCSS.HSF-BF.A.1A

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

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Find the equation of the line in the graph.

• y = 2x + 5

• y = -2x + 5

• y = 5 + 2x

• y = - x + 5

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

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

• Zero
• Undefined 
• -10/17
• -10/1

Tags

CCSS.8.EE.B.5

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

• A
• B
• C
• D

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2