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 did you buy?

• 4

• 10

• 8

• 6

A gardener has a total of 50 plants, consisting of roses and tulips. If the number of tulips is twice the number of roses, how many of each type of plant does the gardener have?

• Roses: 5, Tulips: 45

• Roses: 20, Tulips: 30

• Roses: 15, Tulips: 35

• Roses: 10, Tulips: 40

Two friends, Alex and Jamie, are collecting stickers. Alex has 5 more stickers than Jamie, and together they have 35 stickers. How many stickers does each friend have?

• Alex has 25 stickers and Jamie has 10 stickers.

• Alex has 30 stickers and Jamie has 5 stickers.

• Alex has 15 stickers and Jamie has 20 stickers.

• Alex has 20 stickers and Jamie has 15 stickers.

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If a customer paid $50, how many miles did they drive?

• 50 miles

• 75 miles

• 120 miles

• 100 miles

In a classroom, the number of boys is 4 more than twice the number of girls. If there are 20 students in total, how many boys and girls are there?

• 6 boys and 14 girls

• 8 boys and 12 girls

• 12 boys and 4 girls

• 10 boys and 10 girls

A recipe requires 3 cups of flour and 2 cups of sugar. If you want to make a batch that uses 5 cups of flour, how many cups of sugar will you need?

• 3.33 cups of sugar

• 1.5 cups of sugar

• 2 cups of sugar

• 4 cups of sugar

A bike costs $150, and a helmet costs $30. If you buy both and spend a total of $210, how many helmets did you buy?

• 2

• 4

• 1

• 3

A bookstore sells novels for $12 each and magazines for $5 each. If a customer buys 8 items for a total of $70, how many novels did they buy?

• 4

• 2

• 6

• 5

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 minute, how long will it take to fill the pool?

• 20 minutes

• 50 minutes

• 40 minutes

• 30 minutes

A concert hall has 300 seats. If 50 more seats are added, the total number of seats will be three times the number of seats before the addition. How many seats were there originally?

• 75

• 25

• 50

• 100