Story Problems With Equations

Chad runs c miles each week. Brenda runs 2 miles more each week than Clint. Together they run a total of 22 miles.  Write an expression for the number of miles Chad runs each week.

• 2c + 2 = 22

• c + 2 = 22

• 22 + 2 = c

• 2c - c = 22

Samantha has 2 bags of candy, with the same amount in each bag.  Holly has 12 pieces of candy.  Combined, they have 52 pieces of candy.  How much candy is in each bag?

• 2c + 52 = 12

• 2c - 12 = 52

• 2c + 12 = 52

• 12c + 2 = 52

 Mike took himself and 2 friends to dinner, and they all had the same food . He left a tip of $8.50.  The total cost was $53.50 pages.  Write an expression for the cost of one persons meal.. 

• 2m + 8.50 = 53.50

• 3m - 8.50 = 53.50

• 2m + 8.50 = 53.50

• 3m + 8.50 = 53.50

Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  How many months has Jim been a member of the gym?

• 50 + 20m = 290

• 20 + 50m = 290

• 50 + 20 = m

• 50m - 20 = 290

When at a conference, Mr. Gary rented a car for a fee of $62.50 plus $0.12 per mile he drives. What is the most miles Mr. Gary can drive without spending more than $320?

Two brothers went shopping at a back-to-school sale where all shirts and shorts were the same price. The younger brother spent $175 on 7 new shirts and 7 pairs of shorts. The older brother purchased 6 new shirts and 7 pairs of shorts and paid a total of $165. How much did one shirt cost?

• $5

• $10

• $15

• $20

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. If I am going to buy 1 console and 7 games for it which would cost more? The deal for the Xbox One or the deal for the Playstation 4? How much would I spend for the better deal?

• Xbox One; $320.00

• Xbox One; $318.00

• Playstation 4; $315.00

• Playstation 4; $318.00

Margo is taking a 160-point history test

that has a total of 50 questions. Some of the

questions are worth 6 points each, and the others

are worth 2 points each. Which system of linear

equations could be used to find, s, the correct

number of six-point questions, and t, the correct

number of two-point questions answered

correctly?

• s + 6 = 160

  6t + 2s = 50

• 6s = 2t

  s + t = 160

• 6s = 2t

  6s + 2t + 50 = 160

• s + t = 50

  6s + 2t = 160

When at a conference, Mr. Gary rented a car for a fee of $62.50 plus $0.12 per mile he drives. What is the most miles Mr. Gary can drive without spending more than $320?

The larger number is 18 more than twice the smaller. If the sum of the two numbers is 93, find

both numbers.