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?

• 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 John has x marbles and together they have 30 marbles, how many marbles does each have?

• John has 20 marbles and Maria has 10 marbles.

• John has 10 marbles and Maria has 20 marbles.

• John has 15 marbles and Maria has 15 marbles.

• John has 5 marbles and Maria has 25 marbles.

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If you drove a total of m miles and paid $70, how many miles did you drive?

• 120 miles

• 100 miles

• 80 miles

• 50 miles

In a school, the number of boys is 5 more than twice the number of girls. If there are g girls, and the total number of students is 35, how many boys and girls are there?

• 12 girls and 23 boys

• 10 girls and 25 boys

• 5 girls and 30 boys

• 15 girls and 20 boys

A gardener is planting flowers in two different sections of a garden. The first section has 3 times as many flowers as the second section. If the total number of flowers is 48, how many flowers are in each section?

• First section: 24 flowers, Second section: 24 flowers

• First section: 36 flowers, Second section: 12 flowers

• First section: 40 flowers, Second section: 8 flowers

• First section: 30 flowers, Second section: 18 flowers

A book costs $15 and a magazine costs $5. If you buy a total of 8 items and spend $70, how many books and magazines did you buy?

• 3 books and 5 magazines

• 2 books and 6 magazines

• 4 books and 4 magazines

• 1 book and 7 magazines

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a batch that uses a total of 12 cups of ingredients, how many cups of flour and sugar do you need?

• 5 cups of flour and 5 cups of sugar

• 4.8 cups of flour and 7.2 cups of sugar

• 3 cups of flour and 9 cups of sugar

• 6 cups of flour and 6 cups of sugar

In a class, the number of girls is 4 less than the number of boys. If there are b boys, and the total number of students is 28, how many boys and girls are there?

• 14 boys and 14 girls

• 18 boys and 10 girls

• 15 boys and 13 girls

• 16 boys and 12 girls

A bike costs $120 and a helmet costs $30. If you buy a total of 5 items and spend $450, how many bikes and helmets did you buy?

• 3 bikes and 2 helmets

• 1 bike and 4 helmets

• 2 bikes and 3 helmets

• 4 bikes and 1 helmet

A farmer has chickens and cows. If the number of cows is 3 more than twice the number of chickens and there are a total of 15 animals, how many chickens and cows does the farmer have?

• 4 chickens and 11 cows

• 6 chickens and 9 cows

• 3 chickens and 12 cows

• 5 chickens and 10 cows