Solving Multi-Step Equations: Combine & Check Solutions

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

• 15

• 5

• 20

• 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 check your solution.

• $20

• $14

• $5

• $30

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

• 20 meters

• 15 meters

• 5 meters

• 10 meters

4. A movie theater sells tickets for $8 each. If you buy x tickets and spend $56, write an equation to find the number of tickets purchased. How many tickets did you buy?

• 6

• 8

• 7

• 5

5. A gardener has 20 flowers. He plants x flowers in the garden and gives away 5. Write an equation to find how many flowers he has left. How many flowers does he have after planting?

• x - 5

• 15 - x

• 20 - x

• 15 + x

6. The sum of three consecutive integers is 72. Write an equation to find the integers and check your solution by adding them together.

• 20, 21, 22

• 25, 26, 27

• 21, 22, 23

• 23, 24, 25

7. A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If you drove m miles and paid a total of $50, write an equation to find the number of miles driven. How far did you drive?

• 75 miles

• 120 miles

• 100 miles

• 50 miles

8. A store is having a sale where you can buy 2 shirts for $30. If you buy x shirts, write an equation to find the total cost. How much would you pay for 6 shirts?

• $60

• $120

• $90

• $45

9. A recipe requires 2 cups of flour for every 3 cups of sugar. If you want to make a batch with 12 cups of sugar, how many cups of flour do you need? Write an equation and check your solution.

• 6 cups of flour

• 8 cups of flour

• 10 cups of flour

• 4 cups of flour

10. A train travels at a speed of 60 miles per hour. If it travels for t hours, write an equation to find the distance traveled. How far does the train travel in 3 hours?

• 180 miles

• 150 miles

• 240 miles

• 120 miles