Writing Equations in Situations

• 45,000x + 2,500x = 54,000x + 1,500x

• 45,000x + 2,500 = 54,000x + 1,500

• 45,000 + 2,500x = 54,000 + 1,500x

• 45,000x + 2,500x = 54,000x + 1,500

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

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)

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

3. Amanda and her best friend found some money buried in a field. They split the money evenly, each getting $24.28. How much money did they find?

Answer explanation

Think about: What do you know already? What do you want to find out?

4. Jenny wants to buy an MP3 player that costs $30.98. How much change does she receive if she gives the cashier $40?

Answer explanation

Think about: Do you know how much money she gave the cashier? Do you know how much the item cost?

Ryan is thinking of a number. When he multiplies this number by 6 and then subtracts 15 from the answer, he ends up with his original number. What is the equation that represents this problem?

• 15 - 6x = x

• 6x-15 = x

• 6x15 = x

• 6(15) = x