Solving Multi-Step Equations: Variables & Inverse Operations

Maria has 3 times as many apples as John. If John has x apples and together they have 48 apples, how many apples does John have?

• 12

• 8

• 20

• 16

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

• $40

• $30

• $50

• $25

A rectangle has a length that is 5 meters longer than its width. If the width is w meters and the perimeter is 50 meters, what is the width?

• 20

• 5

• 15

• 10

Tom is 4 years older than his sister. If the sister is y years old and their combined age is 28 years, how old is Tom?

• 18

• 16

• 20

• 12

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?

• 70 miles

• 90 miles

• 100 miles

• 80 miles

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 $250, how many adult tickets were sold?

• 10

• 20

• 15

• 25

A gardener has 120 flowers. He plants 3 times as many roses as tulips. If the number of tulips is t, how many roses does he plant?

• 120

• 90

• 60

• 30

A store is having a sale where you can buy 2 shirts and 3 pairs of pants for $80. If each shirt costs s dollars and each pair of pants costs p dollars, write an equation to represent this situation.

• 2s + 3p = 80

• 2s + 2p = 80

• 2s + 4p = 80

• 3s + 2p = 80

A recipe requires 2 cups of sugar for every 3 cups of flour. If you want to make a batch with 12 cups of flour, how many cups of sugar do you need?

• 4 cups of sugar

• 10 cups of sugar

• 6 cups of sugar

• 8 cups of sugar

A train travels at a speed of 60 miles per hour. If it travels for t hours, how far does it travel? If the train travels 240 miles, how long did it travel?

• 3 hours

• 2 hours

• 5 hours

• 4 hours