Solving Multi-Step Equations: A 6th Grade Challenge

Maria has 5 more than twice the number of apples that John has. If John has x apples, write an equation to represent the number of apples Maria has and solve for x if Maria has 23 apples.

• 7

• 11

• 15

• 9

A book costs $15. If you buy 3 books and pay with a $50 bill, how much change will you receive? Write and solve the equation to find the total cost of the books.

• $0

• $5

• $10

• $20

In a class, the number of boys is 4 less than three times the number of girls. If there are g girls, write an equation for the number of boys and solve for g if there are 14 boys.

• 6

• 5

• 8

• 7

A store is having a sale where you can buy 2 shirts and 3 pairs of pants for $70. If each shirt costs s dollars and each pair of pants costs p dollars, write an equation and solve for the cost of one shirt if pants cost $20 each.

• 5

• 25

• 15

• 10

Liam has twice as many marbles as Emma. If Emma has m marbles and together they have 36 marbles, write an equation to find the number of marbles Emma has and solve for m.

• 18

• 12

• 10

• 14

A recipe requires 3 cups of flour and 2 cups of sugar. If you want to make a batch that uses 5 cups of flour, how many cups of sugar will you need? Write and solve the equation based on the ratio of flour to sugar.

• 4 cups of sugar

• 1.5 cups of sugar

• 2 cups of sugar

• 3.33 cups of sugar

The total cost of 4 notebooks and 2 pens is $18. If each notebook costs n dollars and each pen costs p dollars, write an equation and solve for the cost of one notebook if pens cost $3 each.

• 3

• 5

• 6

• 4

A gardener has 50 flowers. He plants 3 times as many roses as tulips. If he plants t tulips, write an equation for the number of roses and solve for t if he plants 30 roses.

• 20

• 15

• 5

• 10

A movie theater sells tickets for $12 each. If a group of friends buys 5 tickets and spends $60, how much money do they have left if they started with $100? Write and solve the equation to find the remaining amount.

• $20

• $30

• $50

• $40

Samantha has 3 times as many stickers as her brother. If her brother has b stickers and together they have 48 stickers, write an equation to find the number of stickers her brother has and solve for b.

• 12

• 20

• 8

• 16