Solving Real-Life Linear Equations: Grade 8 Challenge

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?

• 6 pencils and 4 erasers

• 4 pencils and 6 erasers

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

A gardener has 3 times as many roses as tulips. If the total number of flowers is 48, how many roses and tulips does the gardener have?

• Roses: 30, Tulips: 18

• Roses: 40, Tulips: 8

• Roses: 24, Tulips: 24

• Roses: 36, Tulips: 12

Two friends, Alex and Jamie, are saving money for a concert. Alex has $15 more than Jamie, and together they have $105. How much money does each friend have?

• Jamie has $45, Alex has $60

• Jamie has $40, Alex has $65

• Jamie has $50, Alex has $55

• Jamie has $30, Alex has $75

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70, how many miles did they drive?

• 200 miles

• 100 miles

• 50 miles

• 150 miles

In a school, the number of boys is twice the number of girls. If there are 120 students in total, how many boys and girls are there?

• 50 boys and 70 girls

• 60 boys and 60 girls

• 80 boys and 40 girls

• 100 boys and 20 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 many cups of sugar will you need?

• 18 cups of sugar

• 12 cups of sugar

• 24 cups of sugar

• 6 cups of sugar

A movie theater sells adult tickets for $12 and child tickets for $8. If they sold a total of 50 tickets and made $520, how many adult and child tickets were sold?

• 35 adult tickets and 15 child tickets

• 40 adult tickets and 10 child tickets

• 25 adult tickets and 25 child tickets

• 30 adult tickets and 20 child tickets

A bike costs $150 more than a skateboard. If the total cost of both is $600, what is the cost of each item?

• Skateboard: $300, Bike: $450

• Skateboard: $250, Bike: $400

• Skateboard: $225, Bike: $375

• Skateboard: $200, Bike: $350

A bookstore sells novels for $10 each and magazines for $5 each. If a customer buys 20 items and spends $150, how many novels and magazines did they buy?

• 10 novels and 10 magazines

• 5 novels and 15 magazines

• 15 novels and 5 magazines

• 12 novels and 8 magazines

A swimming pool is filled with water at a rate of 5 gallons per minute. If it takes 2 hours to fill the pool, how many gallons of water does the pool hold?

• 700 gallons

• 600 gallons

• 800 gallons

• 500 gallons