Solve Equations from Word Problems

Andre wants to save $40 to buy a gift for his dad. Andre’s neighbor will pay him weekly to mow the lawn, but Andre always gives a $2 donation to the food bank on weeks when he earns money. Andre calculates that it will take him 5 weeks to earn the money for his dad’s gift. What equation below can be used to find how much Andre's neighbor pays him each week to mow the lawn?

• 40 = 5x - 2

• 40 - 5 = 2x

• 5x + 2 = 40

• 40 = 5(x - 2)

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

Mallory bought pizza and soda for a party. If she spent $12.57 on the sodas and $10.95 for each pizza, how many pizzas did she buy if her total is $89.22?

• 10.95x + 12.57 = 89.22

• 12.57x + 10.95 = 89.22

• 89.22x -10.95 = 12.57

• 12.57 + 10.95 = 89.22

Jim works at a local restaurant. He earns $8 an hour, plus tips. If Jim earned $350 last week, which included $270 in tips, how many hours did he work?

• 8/h + 270 = 350

• 350 = 270 + 8 + h

• 350 = 270 + 8h

• 350 -270 = h

At a restaurant, Mike and his three friends decided to divide the bill evenly. If each person paid $13 then what was the total bill?

Which equation can you solve to determine the total amount of the bill?

• 4x = 13

• 13x = 4

• x/13 = 4

• x = 13/4

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 story can the tape diagram represent?

• There are 87 children and 39 adults at a show. The seating in the theater is split into 4 equal sections.

• Lin buys a pack of 87 pencils. She gives 39 to her teacher and shared the remaining pencils between herself and 3 friends.

• Andre buys 4 packs of paper clips with 39 paper clips in each. Then he gives 87 paper clips to his teacher.

• Diego's family spends $87 on 5 tickets to the fair and $39 for dinner.

The Harris 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 equation 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

• 15 - 10 = 2.5x +3x

Uber charges $8.00 to get into the car and $0.75 per mile. Lyft charges $6.00 to get into the car and $1.25 per mile. How many miles would your trip need to be for Uber and Lyft to cost you the same amount?

• 0.75 + 8x = 1.25 + 6x

• 6 + 0.75x = 8 + 1.25x

• 1.25x + 0.75x = 14

• 8 + 0.75x = 6 + 1.25x

Peppy Pets charges a flat fee of $15 plus $3 per hour to keep a dog during the day. Happy Hounds charges a flat fee of $21 plus $1 per hour. For how many hours is the total fee charged by the companies the same?

• 2 hours

• 3 hours

• 4 hours

• 5 hours