Grade 7 Math: Solving Two-Step Equations in Context

A store sells pencils for $2 each. If you buy 3 pencils and pay with a $10 bill, how much change do you get?

• $6

• $8

• $2

• $4

Maria has twice as many marbles as John. If John has x marbles, write an expression for the number of marbles Maria has and simplify it.

• x+2

• x

• 2x

• 3x

A recipe calls for 3 cups of flour. If you want to make half the recipe, how many cups of flour do you need? Write and solve the equation.

• 0.5 cups

• 3.5 cups

• 1.5 cups

• 2 cups

The perimeter of a rectangle is 50 meters. If the length is 5 meters more than the width, find the dimensions of the rectangle.

• Width: 10 meters, Length: 15 meters

• Width: 8 meters, Length: 13 meters

• Width: 12 meters, Length: 17 meters

• Width: 5 meters, Length: 20 meters

A car rental company charges a flat fee of $20 plus $0.50 per mile driven. If you drove m miles, write an equation for the total cost and solve for m if the total cost was $45.

• 100 miles

• 70 miles

• 50 miles

• 30 miles

In a class, the number of boys is 4 less than twice the number of girls. If there are g girls, write an equation to represent the number of boys and solve for the number of boys when there are 10 girls.

• 12

• 16

• 14

• 20

A book costs $15. If you buy 2 books and a magazine that costs $5, how much do you spend in total? Write and solve the equation.

• $25

• $35

• $30

• $40

The sum of three consecutive integers is 72. Write an equation to represent this situation and find the integers.

• 23, 24, 25

• 25, 26, 27

• 21, 22, 23

• 20, 21, 22

A movie theater sells tickets for $8 each. If you buy 4 tickets and pay with a $50 bill, how much change do you receive?

• $18

• $22

• $30

• $10