Real-Life Linear Equations: Interpret & Verify Solutions

A store sells pencils for $0.50 each and erasers for $0.75 each. If a student buys a total of 10 items and spends $6.00, how many pencils and erasers did they buy? Interpret your solution in the context of the problem.

• 4 pencils and 6 erasers

• 6 pencils and 4 erasers

• 7 pencils and 3 erasers

• 5 pencils and 5 erasers

Maria has twice as many marbles as John. If the total number of marbles they have together is 36, how many marbles does each person have? Check your solution for accuracy.

• John has 10 marbles and Maria has 26 marbles.

• John has 12 marbles and Maria has 24 marbles.

• John has 18 marbles and Maria has 18 marbles.

• John has 15 marbles and Maria has 21 marbles.

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer pays $50, how many miles did they drive? Explain your reasoning.

• 150 miles

• 100 miles

• 250 miles

• 200 miles

In a school, the ratio of boys to girls is 3:4. If there are 28 girls, how many boys are there? Verify your solution by checking the ratio.

• 21

• 24

• 30

• 18

A gardener is planting flowers in rows. If he plants 5 flowers in each row and has 45 flowers, how many rows can he plant? Interpret the solution in the context of the gardening task.

• 9

• 7

• 10

• 8

A recipe requires 2 cups of flour for every 3 cups of sugar. If you have 8 cups of sugar, how many cups of flour do you need? Check your solution for accuracy.

• 6 cups of flour

• 2 cups of flour

• 5.33 cups of flour

• 4 cups of flour

A movie theater has 120 seats. If 75% of the seats are filled, how many seats are empty? Explain your solution in the context of the theater's capacity.

• 30

• 20

• 40

• 50

A bike costs $150 and a helmet costs $30. If a customer buys 2 bikes and 3 helmets, how much do they spend in total? Check your calculations for accuracy.

• $360

• $450

• $390

• $300

A train travels at a speed of 60 miles per hour. How far will it travel in 2.5 hours? Interpret your solution in the context of travel time.

• 120 miles

• 180 miles

• 200 miles

• 150 miles

A recipe calls for 4 eggs for every 2 cups of milk. If you want to use 10 cups of milk, how many eggs do you need? Verify your solution by checking the ratio.

• 20 eggs

• 16 eggs

• 12 eggs

• 8 eggs