Solving Multi-Step Equations: Identify Variables & More

1. Sarah has 3 times as many apples as Tom. If Tom has x apples, write an equation to represent the number of apples Sarah has. Then, if Tom has 5 apples, how many does Sarah have?

• 5

• 20

• 15

• 10

2. A book costs $12. If you buy 3 books and pay with a $50 bill, how much change will you receive? Write an equation to find the total cost and then calculate the change.

• $30

• $14

• $20

• $10

3. The perimeter of a rectangle is 50 meters. If the length is 5 meters more than twice the width, write an equation to find the width. What is the width of the rectangle?

• 15 meters

• 25 meters

• 10 meters

• 20/3 meters

4. A school is selling tickets for a play. Adult tickets cost $8 and student tickets cost $5. If the total revenue from selling 10 adult tickets and x student tickets is $70, write an equation and solve for x.

• x = 10

• x = 5

• x = 8

• No valid solution for x.

5. Emily is saving money to buy a new bike that costs $150. She already has $30 and plans to save $10 each week. Write an equation to find out how many weeks it will take her to save enough money for the bike.

• 8 weeks

• 12 weeks

• 10 weeks

• 15 weeks

6. A recipe requires 2 cups of flour for every 3 cups of sugar. If you want to use x cups of sugar, write an equation to find the amount of flour needed. How much flour is needed if you use 9 cups of sugar?

• 10 cups of flour

• 8 cups of flour

• 4 cups of flour

• 6 cups of flour

7. A car rental company charges a flat fee of $20 plus $0.50 per mile driven. If you want to spend no more than $50, write an equation to find out how many miles you can drive.

• 45 miles

• 30 miles

• 60 miles

• 75 miles

8. The sum of three consecutive integers is 72. Write an equation to represent the integers and find the smallest integer.

• 24

• 25

• 22

• 23

9. A gardener is planting flowers in rows. If each row has 4 flowers and there are x rows, write an equation to find the total number of flowers if there are 28 flowers in total. How many rows are there?

• 7

• 8

• 6

• 5

10. A store is having a sale where you can buy 2 shirts for $30. If you want to buy x shirts, write an equation to find the total cost. How much will it cost if you buy 6 shirts?

• $120

• $90

• $45

• $60