Solving Algebra Word Problems: Variables & Equations

A store sells pencils for $0.50 each and erasers for $0.75 each. If you buy a total of 10 items for $6.00, how many pencils and erasers did you buy? Identify the variables and constants in your equation.

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

• 4 pencils and 6 erasers

• 6 pencils and 4 erasers

Tags

CCSS.8.EE.C.8C

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If you paid $35 for your rental, how many miles did you drive? Write the equation and identify the variables.

• 100 miles

• 50 miles

• 75 miles

• 120 miles

Tags

CCSS.7.EE.B.4A

The perimeter of a rectangular garden is 50 meters. If the length is 5 meters longer than the width, what are the dimensions of the garden? Set up the equation and identify the variables.

• Width: 8 meters, Length: 13 meters

• Width: 10 meters, Length: 15 meters

• Width: 12 meters, Length: 17 meters

• Width: 5 meters, Length: 10 meters

A school is selling tickets for a play. Adult tickets cost $8 and student tickets cost $5. If they sold a total of 50 tickets for $320, how many adult and student tickets were sold? Write the equations and identify the variables.

• 20 adult tickets and 30 student tickets were sold.

• 15 adult tickets and 35 student tickets were sold.

• 25 adult tickets and 25 student tickets were sold.

• 10 adult tickets and 40 student tickets were sold.

Tags

CCSS.8.EE.C.8C

You are saving money to buy a video game that costs $60. If you save $5 each week, how many weeks will it take to save enough money? Write the equation and identify the variables.

• 15 weeks

• 12 weeks

• 10 weeks

• 20 weeks

Tags

CCSS.6.EE.B.7

A recipe requires 2 cups of flour for every 3 cups of sugar. If you want to make a batch with 12 cups of sugar, how many cups of flour do you need? Set up the equation and identify the variables.

• 4 cups of flour

• 10 cups of flour

• 8 cups of flour

• 6 cups of flour

Tags

CCSS.6.EE.B.7

A bike rental shop charges a $10 fee plus $2 for each hour you rent a bike. If you paid $26, how many hours did you rent the bike? Write the equation and identify the variables.

• 8

• 15

• 12

• 5

Tags

CCSS.7.EE.B.4A

The sum of two numbers is 30. One number is twice the other. What are the two numbers? Set up the equations and identify the variables.

• 15 and 15

• 25 and 5

• 12 and 18

• 20 and 10

Tags

CCSS.8.EE.C.8C

A local gym charges a monthly fee of $30 plus $5 for each class you attend. If your total bill for the month was $70, how many classes did you attend? Write the equation and identify the variables.

• 8

• 10

• 5

• 12

Tags

CCSS.7.EE.B.4A

A farmer has a total of 100 apples and oranges. If he has 30 more apples than oranges, how many of each fruit does he have? Set up the equations and identify the variables.

• 65 apples and 35 oranges

• 70 apples and 30 oranges

• 50 apples and 50 oranges

• 40 apples and 60 oranges

Tags

CCSS.8.EE.C.8C