Solving Real-Life Linear Equations: Grade 7 Challenges

A store sells pencils for $0.50 each. If you buy x pencils and spend $6, how many pencils did you buy? Set up and solve the equation.

• 8

• 14

• 12

• 10

Maria has twice as many marbles as John. If John has x marbles and together they have 30 marbles, how many marbles does John have? Set up and solve the equation.

• 5

• 15

• 20

• 10

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If you paid $50 in total, how many miles did you drive? Set up and solve the equation.

• 200 miles

• 250 miles

• 150 miles

• 100 miles

Tom is 5 years older than his sister. If his sister is x years old and together they are 25 years old, how old is Tom? Set up and solve the equation.

• 15

• 12

• 20

• 10

A book costs $12. If you buy x books and spend $60, how many books did you buy? Set up and solve the equation.

• 6

• 4

• 7

• 5

A swimming pool can be filled in 4 hours by one hose and in 6 hours by another hose. If both hoses are used together, how long will it take to fill the pool? Set up and solve the equation for the combined rate.

• 1.5 hours

• 3 hours

• 2.4 hours

• 5 hours

A farmer has chickens and cows. If there are x chickens and 3 times as many cows, and the total number of animals is 40, how many chickens does the farmer have? Set up and solve the equation.

• 10

• 20

• 5

• 15

A movie theater charges $10 per ticket. If you buy x tickets and spend $70, how many tickets did you buy? Set up and solve the equation.

• 3

• 10

• 7

• 5

Lisa has $50. She spends x dollars on a book and has $20 left. How much did she spend on the book? Set up and solve the equation.

• 30

• 35

• 40

• 25

A recipe requires 3 cups of flour for x cookies. If you want to make 24 cookies, how many cups of flour do you need? Set up and solve the equation.

• 10 cups

• 6 cups

• 8 cups

• 4 cups