Solving One Variable Equations Word Problems

Lucy rents a bike from a company that charges an initial fee of $12 plus $3 per hour that the bike is rented. If Lucy spends $30, write an equation that can be used to represent how many hours she can rent the bike.

• 3x - 12 = 30

• 3x + 12 =30

• 3x = 30 + 12

• 30 - 3x = 12

Tags

CCSS.HSA.CED.A.3

Max worked Friday night at a restaurant for 7 hours and came home with $84  in tips. 

Which of the following equations represents the amount of dollars, x, she earned per hour in tip

• x +x + 7 = $84

• 84/7 = x

• 7x = 84

Tags

CCSS.HSA.CED.A.3

Joey and four of his friends went out to eat. They decided to split the bill evenly. Each person paid $11.13. What was the total bill? Write an equation you could use to solve this equation. Use d as your variable.

Tags

CCSS.HSA.CED.A.3

Ben and Jerry together scored 50 points in the big game. If Ben scored 16 points, how many points did Jerry score?

Which equation fits this scenario?

• x + 16 = 50

• x - 16 = -50

• -500 + x = 16

• x - 16 = 500

Tags

CCSS.HSA.CED.A.3

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

• 2 miles 

• 4 miles

• 0.50 mile

• -4 miles 

Tags

8.17

Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies?

• 2 miles 

• 4 miles

• 0.50 mile

• -4 miles 

Tags

8.17

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. How many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

• 120 miles

• 100 miles

• 110 miles

• 150 miles 

Tags

8.17

Amy was given an amount of money, m, for a good grades on her report card. She spent $15.00 and now has $25.32. Write an equation and determine how much money she got for getting good grades. Use m as your variable.

• m+15=25.32; m = $10.32

• m/25.32=15; m = $379.8

• m-15=25.32; m = $40.32

• 15m=25.32; m = $1.69

Tags

CCSS.HSA.CED.A.3

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.HSF-BF.A.1A

Which equation matches the following scenario: If one roll of masking tape costs $1.15, how many rolls can Emma buy with $5.75?

Tags

CCSS.HSA.CED.A.3