Solving Real-Life Linear Equations: Check Your Solutions

A store sells pencils for $2 each and erasers for $3 each. If a student buys a total of 10 items for $24, how many pencils and erasers did they buy? Check your solution by substituting back into the original equations.

• 6 pencils and 4 erasers

• 7 pencils and 3 erasers

• 4 pencils and 6 erasers

• 5 pencils and 5 erasers

Two friends, Alex and Jamie, are saving money for a concert. Alex has $15 and saves $5 each week, while Jamie has $10 and saves $7 each week. After how many weeks will they have the same amount of money? Verify your answer by calculating their total savings after that many weeks.

• 2 weeks

• 3 weeks

• 1 week

• 4 weeks

A gardener is planting flowers in two different sections of a garden. Section A has 3 times as many flowers as Section B. If the total number of flowers is 48, how many flowers are in each section? Check your solution by adding the number of flowers in both sections.

• Section A: 40 flowers, Section B: 8 flowers

• Section A: 30 flowers, Section B: 18 flowers

• Section A: 24 flowers, Section B: 24 flowers

• Section A: 36 flowers, Section B: 12 flowers

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer pays $50, how many miles did they drive? Confirm your answer by calculating the total cost based on the miles driven.

• 100 miles

• 120 miles

• 75 miles

• 50 miles

In a school, the number of boys is twice the number of girls. If there are 60 students in total, how many boys and girls are there? Check your solution by adding the number of boys and girls together.

• 20 boys and 40 girls

• 30 boys and 30 girls

• There are 40 boys and 20 girls.

• 50 boys and 10 girls

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a batch that uses 12 cups of flour, how much sugar will you need? Verify your answer by checking the ratio of flour to sugar in the original recipe.

• 15 cups of sugar

• 18 cups of sugar

• 21 cups of sugar

• 12 cups of sugar

A bike costs $120 and a helmet costs $30. If a person buys 2 bikes and some helmets for a total of $300, how many helmets did they buy? Check your solution by calculating the total cost of the bikes and helmets.

• 1

• 3

• 2

• 4

A swimming pool is being filled with water. The pool can hold 500 gallons, and it is currently filled with 200 gallons. If water is being added at a rate of 10 gallons per hour, how many hours will it take to fill the pool? Verify your answer by calculating the total gallons needed and the time required.

• 30 hours

• 25 hours

• 40 hours

• 20 hours

A bookstore sells novels for $15 each and magazines for $5 each. If a customer buys a total of 8 items for $60, how many novels and magazines did they buy? Check your solution by substituting back into the original equations.

• 3 novels and 5 magazines

• 2 novels and 6 magazines

• 1 novel and 7 magazines

• 4 novels and 4 magazines

A farmer has chickens and cows. If the total number of animals is 50 and there are 3 times as many chickens as cows, how many chickens and cows does the farmer have? Verify your answer by adding the number of chickens and cows together.

• 36 chickens and 12 cows

• 24 chickens and 26 cows

• 30 chickens and 20 cows

• 40 chickens and 10 cows