Linear Equations Word Problems

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.HSA.SSE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.2

CCSS.HSF.LE.A.1

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

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.2

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

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

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

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.2

CCSS.HSF.LE.A.1

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

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

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

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.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?

• y = 12.50 + 30x

• y = 30 + 12.50x

• y = 12.50 + 30

• 12.50x = 30

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.2

 In order to join an online learning community, there is a $20 startup fee and a $5 monthly fee. Write an equation in slope-intercept form that models this situation.

• y = 20x + 5
• y = 5x +20

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.2

CCSS.HSS.ID.C.7

You are visiting Baltimore, MD and a taxi company charges you a flat fee of $3.00 for using the taxi and $0.75 per mile.

Which of the following equations matches the situation?

• 0.75x + 3y = 50

• y = 0.75x + 3

• y = 3x + 0.75

• 3x + 0.75y = 50

• 50 = -0.75x + y

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.BF.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

A plumber charges $50 to make a house call. He also charges $25 per hour for labor.

How much would it cost for 2.5 hours of labor?

• $100

• 4.50

• $112.50

• $65.00

• $123.45

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3