Match Equations Word Problems

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. Which equation could be used to determine how many miles would have to be driven in one day for both rental agencies to cost the same amount to rent?

• 30 + 0.15x = 36 + 0.10x

• 30 - 0.15x = 36 - 0.10x

• 30 + 36 = 0.10x + 0.36x

• 36 - 30 = 0.36x + 0.10x

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value? 

• 15x + 2.5 = 10x + 3

• 15 - 2.5x = 10 - 3x

• 15 + 2.5x = 10 + 3x

• 15 - 10 = 2.5x + 3x

Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. Write an equation to determine how many years would Mary's salary be the same at both companies.

• 36,000x + 1,500 = 29,000x + 2,500

• 36,000 - 29,000 = 1,500x + 2,500x

• 36,000 - 1,500x = 29,000 - 2,500x

• 36,000 + 1,500x = 29,000 + 2,500x

Sharon’s family budgeted $3000 for their vacation. Their budget consisted of $1850 for travel cost and $85 per day for hotel and other expenses. Which inequality will determine the amount of days Sharon’s family can stay on vacation?

• 1850 + 85x < 3000

• 1850 – 85x > 3000

• 1850 + 85x < 3000

• 1850 – 85x > 3000

• A

• B

• C

• D

A business that rents cars is open for 8 hours on Monday. On Monday morning the business had 45 cars. The business rented 3 cars to customers during each of the first 5 hours. The business rented 2 cars to customers during each of the next 3 hours. The total number of cars that were brought back to the business by customers on Monday was 17. In which equation does c represent the number of cars the business had at the end of the day on Monday?

• 0. c = 45−(5+3)−(3+2)+17

• 0. c = 45−(5×3)−(3×2)−17

• 0. c = 45−(5+3)−(3+2)−17

• 0. c = 45−(5×3)−(3×2)+17

Barry needs $1,449 for summer camp. Two local clubs will each match what he saves. Barry has 3 months before he leaves for summer camp. How much does Barry need to save on his own each month to have enough for summer camp?

A business that rents cars is open for 8 hours on Monday. On Monday morning the business had 45 cars. The business rented 3 cars to customers during each of the first 5 hours. The business rented 2 cars to customers during each of the next 3 hours. The total number of cars that were brought back to the business by customers on Monday was 17. In which equation does c represent the number of cars the business had at the end of the day on Monday?

• c = 45−(5+3)−(3+2)+17

• c = 45−(5×3)−(3×2)−17

• c = 45−(5+3)−(3+2)−17

• c = 45−(5×3)−(3×2)+17

Drew starts a book that has 474 pages. He finishes the book in 6 days. He reads 48 pages on each of the first 2 days. He reads 125 pages on each of the next 2 days. He reads p pages on each of the last 2 days. Which equation can be used to find p, the number of pages Drew reads on each of the last 2 days?

• 48 + 125 + p = 474

• (48 × 2) + (125 × 2) + p = 474

• (48 × 2) + (125 × 2) + (p × 2) = 474

• (48 × 2) + (125 × 2) + (p × 2) = (474 × 2)

I can join video club A for $25.00 and rent videos for $1.00 each. Or, I can join video club B for $15.00 and rent videos for $2.00 each. Write an equation that could be used to determine how many rentals would be needed for the price to be equal.

• 25 - x = 15 - 2x

• 25 + 15 = x + 2x

• 25x + 1 = 15x + 2

• 25 + x = 15 + 2x