Word Problems Writing and Interpreting Equations

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.6.EE.C.9

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.HSF-BF.A.1A

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

Tags

CCSS.HSA.CED.A.3

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.8.F.B.4

CCSS.HSF.LE.A.2

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.8.EE.C.7

CCSS.8.F.B.4

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.CED.A.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.6.EE.C.9

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

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

The equation y=10x represents the amount of allowance, y, in dollars, that Jacob receives for doing x hours of chores. Which statement interprets the slope of this equation?

• Jacob does chores for $0 per hour.
• Jacob does chores for $10 per hour.
• Jacob receives $0 of allowance money before doing any chores.
• Jacob receives $10 of allowance money before doing any chores.

Tags

CCSS.HSF.LE.B.5

The population of the town is given by the function y = 60,000 - 500x, where y is the number of inhabitants and x is the time in years. What is the population of the town after 9 years?

• 55,500

• 55,000

• 54,500

• D:54,000

Tags

CCSS.8.EE.C.7

CCSS.8.F.A.1

CCSS.8.F.A.3

CCSS.8.F.B.4