Solving Word Problems: Variables and Multi-Step Equations

Sarah has 3 times as many apples as Tom. If Tom has x apples, write an equation to represent the number of apples Sarah has. What is the equation?

• Sarah's apples = 3 * x

• Sarah's apples = x + 3

• Sarah's apples = x - 3

• Sarah's apples = 2 * x

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

• $30

• $25

• $50

• $40

Liam has 20 marbles. He gives away y marbles to his friend. Write an equation to find out how many marbles Liam has left. What is the equation?

• 20 + y

• 20 * y

• y - 20

• 20 - y

A pizza has 8 slices. If you eat 2 slices and your friend eats x slices, write an equation to find out how many slices are left. What is the equation?

• 8 - 2 + x = slices left

• 2 + x = slices left

• 8 - 2 - x = slices left

• 8 - x = slices left

Emma has $50. She spends $x on a toy and $10 on a book. Write an equation to find out how much money she has left. What is the equation?

• 50 - x

• x - 10

• 40 - x

• 40 + x

A farmer has 100 apples. He sells x apples and then has 40 apples left. Write an equation to find out how many apples he sold. What is the equation?

• 100 - 40 = x

• 100 + x = 40

• x + 40 = 100

• 100 - x = 40

A school has 200 students. If 50 students are in the band and the rest are in sports, write an equation to find out how many students are in sports. What is the equation?

• 50

• 200

• 150

• 100

A box can hold 12 toys. If you have x boxes, how many toys can you hold in total? Write the equation and solve for x if you want to hold 60 toys.

• 8

• 6

• 4

• 5

A car travels 60 miles per hour. How far will it travel in t hours? Write the equation and find the distance if t = 3 hours.

• 90 miles

• 180 miles

• 120 miles

• 240 miles

A recipe calls for 2 cups of flour. If you want to make x batches of cookies, write an equation to find out how many cups of flour you need. What is the equation?

• cups_of_flour = x + 2

• cups_of_flour = 2 - x

• cups_of_flour = 2 / x

• cups_of_flour = 2 * x