Solve Multi-Step Equations: Find Unknown Variables

1. Sarah has twice as many apples as Tom. If Tom has x apples and together they have 30 apples, how many apples does Tom have?

• 15

• 10

• 5

• 20

2. A book costs $15. If you buy x books and spend $60, how many books did you buy?

• 3

• 2

• 5

• 4

3. A rectangle has a length that is 3 times its width. If the width is w and the perimeter is 48, what is the width?

• 6

• 10

• 8

• 4

4. Emily has 5 more than twice the number of stickers that Jake has. If Jake has y stickers and together they have 35 stickers, how many stickers does Jake have?

• 15

• 5

• 20

• 10

5. A car rental company charges a flat fee of $50 plus $20 per day. If you paid a total of $150 for x days, how many days did you rent the car?

• 3 days

• 5 days

• 7 days

• 10 days

6. A school is selling tickets for a play. If adult tickets cost $10 and student tickets cost $5, and they sold a total of 50 tickets for $400, how many adult tickets were sold?

• 40

• 20

• 25

• 30

7. A gardener has x flower pots. If he buys 3 more pots and then has 15 pots, how many pots did he start with?

• 12

• 8

• 10

• 5

8. A movie theater has 200 seats. If x seats are reserved for a special event and the remaining seats are sold for $10 each, how much money is made if all remaining seats are sold for a total of $1,200?

• 50

• 100

• 80

• 120

9. A baker makes x loaves of bread. If he sells 4 loaves and has 12 left, how many loaves did he start with?

• 10

• 16

• 20

• 14

10. A swimming pool is filled with water at a rate of 5 gallons per minute. If it takes x minutes to fill the pool and the total volume of the pool is 300 gallons, how long does it take to fill the pool?

• 60 minutes

• 90 minutes

• 45 minutes

• 30 minutes