Writing Equations

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?

• 222.50 = m(35 + 0.75)
• 222.50 = 35 + 0.75m
• 222.50 = 0.75 + 35m
• 222.50 = 0.75(m + 35)

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of airtime usage.  Juanita can only afford to spend $40.00 on her cell phone bill.  Which equation represents Juanita's situation?

• 40 = 15 + 0.20x
• 40 =15 (0.20x)
• 40 = 15 + x + 0.20
• 40 = 0.20 + 15x

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

A holiday meal costs $12.50 a person plus a delivery fee of $30.

• 30 + 12.5x 
• 12.5 + 30
• 12.5 + 30x

Bob has $150 in his savings account and saves $40 per month.

• 150 + 40
• 40x + 150
• 150x + 40

What equation matches this situation?
John wants to buy an MP3 Player that costs $30.98.  How much change did he receive if he gives the cashier $40.

• 40 + c = 39.98
• 30.98 + c = 40
• c - 40 = 39.98
• c - 39.98 = 40

Tags

CCSS.HSA.CED.A.3

Heather is a hairdresser and her customers pay $5 to reserve an appointment time and $12 for every hour Heather works on their hair style. As a back to school special she offers to lower her price per hour by $5. What equation represents the total amount paid to Heather, y, after x hours of hair styling?

• y = 5 + 12x
• y = 12x
• y = 7x + 5
• y = 12x + 12

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.C.9

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. Write an equation that represents the number of hours (h) of lessons Kasey took if the total cost was $39.

• 11 + 6h = 39
• 11h - 6 = 39
• 11h + 6 = 39
• 66h = 39

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. Write an equation that represents the number of tickets (t) that can be purchased if Penelope plans to spend $35.

• .50t + 20 = 35
• .50t = 35
• .50 + 20t = 35 
• .50t +35 = 20

Joe earns $25 per yard he mows in the summer.  If he also makes a one time amount of $100 for babysitting his brother, write an equation that can be used to determine the number of yards (y) he will need to mow to go to Italy for $3,100.  

• 25y - 100 = 3,100
• 3,100 - 100 = 25y
• 25y + 100 = 3,100
• 100y + 25 = 3,100