Multistep Variable Challenges: Solving for x in Equations

1. Sarah has 3 times as many apples as Tom. If Tom has x apples and together they have 48 apples, how many apples does Tom have?

• 16

• 8

• 12

• 20

2. A book costs $15. If you buy 4 books and pay with a $100 bill, how much change will you receive?

• $30

• $40

• $25

• $50

3. The perimeter of a rectangle is 50 meters. If the length is 5 meters more than the width, what is the width of the rectangle?

• 20 meters

• 10 meters

• 15 meters

• 5 meters

4. A car rental company charges a flat fee of $20 plus $0.50 per mile driven. If you paid $65 for your rental, how many miles did you drive?

• 80 miles

• 100 miles

• 70 miles

• 90 miles

5. Emily bought 5 packs of stickers for x dollars each and spent a total of $45. How much does each pack cost?

• 12

• 7

• 10

• 9

6. A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 30 tickets for $200, how many adult tickets were sold?

• 5

• 20

• 10

• 15

7. A gardener has 3 times as many roses as tulips. If the total number of flowers is 48, how many tulips does the gardener have?

• 20

• 12

• 15

• 10

8. A recipe requires 2 cups of flour for every 3 cups of sugar. If you want to use 12 cups of sugar, how many cups of flour do you need?

• 4 cups of flour

• 6 cups of flour

• 10 cups of flour

• 8 cups of flour

9. A store is having a sale where you can buy 2 shirts for $30. If you want to buy x shirts, how much will you spend?

• $30 + x

• $15 * 2

• $30 * x

• 15 * x

10. A train travels at a speed of 60 miles per hour. If it travels for x hours, how far will it go?

• 120x miles

• 30x miles

• 60x kilometers

• 60x miles