Real-Life Multi-Step Equations: Check Your Solutions!

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

• 4 pencils and 6 erasers

• 6 pencils and 4 erasers

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

Maria has twice as many marbles as John. If the total number of marbles they have is 36, how many marbles does each person have? Verify your answer by adding the two amounts together.

• John has 15 marbles and Maria has 21 marbles.

• John has 18 marbles and Maria has 18 marbles.

• John has 12 marbles and Maria has 24 marbles.

• John has 10 marbles and Maria has 26 marbles.

A recipe requires 3 cups of flour and 2 cups of sugar. If you want to make 4 batches of the recipe, how many cups of flour and sugar do you need in total? Check your calculations by dividing the total amounts by the number of batches.

• 8 cups of flour and 4 cups of sugar

• 10 cups of flour and 6 cups of sugar

• 12 cups of flour and 8 cups of sugar

• 15 cups of flour and 10 cups of sugar

Tom is 5 years older than his sister. If the sum of their ages is 25, how old are they? Confirm your solution by adding their ages together to see if it equals 25.

• Tom is 15 years old and his sister is 10 years old.

• Tom is 18 years old and his sister is 8 years old.

• Tom is 12 years old and his sister is 7 years old.

• Tom is 20 years old and his sister is 5 years old.

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer pays $70, how many miles did they drive? Check your answer by calculating the total cost based on the miles driven.

• 100 miles

• 50 miles

• 200 miles

• 150 miles

A gardener has a rectangular garden that is 3 feet longer than it is wide. If the perimeter of the garden is 30 feet, what are the dimensions of the garden? Verify your answer by calculating the perimeter with the found dimensions.

• Width: 6 feet, Length: 9 feet

• Width: 4 feet, Length: 7 feet

• Width: 7 feet, Length: 10 feet

• Width: 5 feet, Length: 8 feet

A school is selling tickets for a play. Adult tickets cost $10 and student tickets cost $5. If they sold a total of 50 tickets and made $400, how many of each type of ticket did they sell? Check your solution by calculating the total revenue from the ticket sales.

• 25 adult tickets and 25 student tickets

• 40 adult tickets and 10 student tickets

• 30 adult tickets and 20 student tickets

• 35 adult tickets and 15 student tickets

Lily has a collection of stamps. She has 4 times as many foreign stamps as domestic stamps. If the total number of stamps is 100, how many foreign and domestic stamps does she have? Verify your answer by adding the two amounts together.

• Domestic stamps: 30, Foreign stamps: 70

• Domestic stamps: 20, Foreign stamps: 80

• Domestic stamps: 10, Foreign stamps: 90

• Domestic stamps: 25, Foreign stamps: 75

A train travels 60 miles per hour. If it travels for 2 hours and then increases its speed to 75 miles per hour for the next hour, how far does the train travel in total? Check your calculations by adding the distances from both segments of the trip.

• 195 miles

• 180 miles

• 210 miles

• 150 miles

A bookstore sold 120 books in one week. If they sold twice as many fiction books as non-fiction books, how many of each type did they sell? Confirm your solution by adding the number of fiction and non-fiction books together.

• Fiction: 100, Non-Fiction: 20

• Fiction: 60, Non-Fiction: 60

• Fiction: 50, Non-Fiction: 70

• Fiction: 80, Non-Fiction: 40