Match Word Problems to Equations

Julius is selling raffle tickets for $2.50 each. The prizes to be awarded cost $2,260. Which equation represents the number of raffle tickets, x, that must be sold in order to pay for the prizes?

• 2.50x = 2,260

• x + 2.50 = 2,260

• 2.50 = 2,260x

Ken has $20.00. Coffee costs $4.79 per pound. Which equation will calculate the number of pounds of coffee, n, Ken can buy?

• 4.79n = 20.00

• 20.00n = 4.79

• 4.79 + n = 20.00

• 4.79 − n = 20.00

Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?

• 3(x + 5) = 17

• 3x + 5 = 17

• 5(x + 3) = 17

• 5x + 3 = 17

Amy had $26 dollars to spend on school supplies. After buying 10 pens at the same price, she had $14.30 left. Write an equation to determine how much each pen cost.

• 14.30/p + 10 = 26

• 26/p = 24.30

• 10p - 14.30 = 26

• 14.30 + 10p = 26

What could this represent? 7x + 2 = 30

• Buying pet turtles for $7 each plus two cans of turtle food cost $30.

• Seven bags of candy plus 2 extra snickers bars equals 30 dollars.

• Two yoyos plus seven frisbees is thirty cents.

• Buying seven calculators plus $2 per bundle of pencils is $30.

Dexter's Gym charges a one-time registration fee of $40 and $20 each month. The total fee after x months is $340. Which equation models this situation?

• 40x + 20 = 340

• 20x + 40 = 340

• 20x - 40 = 340

• 20 + 340 = 40x

Scott's Automotive charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie was charged $63.

• 35x + 7 = 63

• 7x = 63

• 7x - 35 = 63

• 7x + 35 = 63

Miley runs a "warm-up" lap for 10 minutes and then takes nine minutes to run each mile. The total time after running m miles is 55 minutes. Which equation models this scenario?

• 55 = 10m + 9

• 55 = 9m - 10

• 55 = 10m - 9

• 55 = 9m + 10

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