Writing 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)

Tags

CCSS.HSA.CED.A.3

Elena is cutting a 30-foot piece of ribbon for a craft project. She cuts off 7 feet, and then cuts the remaining piece into 9 equal lengths of feet each. Which equation matches the situation?

• 7 + 9x = 30

• 30 = x - 7 - 9

• 30/x = 9-7

• x - 30 = 7(9)

Tags

CCSS.4.MD.A.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

Tags

CCSS.HSA.CED.A.3

A piece of scenery for the school play is in the shape of a 5-foot-long rectangle. The designer decides to increase the length. There will be 3 identical rectangles with a total length of 17 feet. By how much did the designer increase the length of each rectangle?

• 3(x + 5) = 17

• 3x + 5 = 17

• 5(x + 3) = 17

• 5x + 3 = 17

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.7.EE.B.4A

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.

Tags

CCSS.3.OA.D.8

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

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.HSA.CED.A.3

Which tape diagram below represents the following word problem?

Kathy has $2 in her piggy bank. She wants to save up to buy a LEGO set that costs $19. If she does chores around the house for 5 weeks how much does she need to earn each week?

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Tags

CCSS.6.EE.B.7