Practice: Creating and Solving Linear 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

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)

Tags

CCSS.7.EE.B.4A

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

A taxi charges $3, plus $1.50 for each mile traveled.  Mr. Lewis rode in the taxi from his home to the airport and was charged $30.  How many miles does Mr. Lewis live from the airport?

• 18 miles
• 20 miles
• 22 miles

Tags

CCSS.7.EE.B.4A

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63
• 7x = 63
• 7x - 35 = 63
• 35x + 7 = 63

Tags

CCSS.HSA.CED.A.3

Scott works on cars. He charges $35 for each car plus $7 per hour.How many hours did he work on Kylie's car if her bill was $63?

• x = 4

• x = 5

• x = 3

• x = 4.5

Penelope is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each.

How many tickets did she buy?

• x = 30

• x = 25

• x = 35

• x = 31

Natalie is a softball coach. She has a pitching private lesson with Kasey. Kasey's mom pays Natalie $11 per hour plus a $6 tip. How many hours was the lesson?

• x = 3

• x = 2

• x = 4

• x = 5

Terry had his car repaired at Ace Auto.  He was charged $50 per hour of labor plus $150 for parts.  His total bill for the repair before tax was $375.  How many hours of labor was Terry charged for?

• 2.5 hours
• 4.5 hours
• 7.5 hours
• 10.5 hours

Tags

CCSS.7.EE.B.4A

Grandpa Gump is 63 years old. His age is 2 years less than 5 times the age of Billy Gump. How could I find out how old Billy is?

• x/5 - 2 = 63
• 5x - 2 = 63
• 2x - 5 = 63
• 5x + 2 = 63

Tags

CCSS.HSA.CED.A.3