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

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

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.

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

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 

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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 

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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

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

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