Translate & Solve: Equations with Variables for Grade 7

Ava has 3 more than twice the number of books that Ben has. If Ben has b books, write an equation to represent the situation and solve for b.

• b = Ava's books + 3

• b = (Ava's books - 3) / 2

• b = (Ava's books + 3) / 2

• b = Ava's books - 3

The total cost of 5 notebooks and 3 pens is $12. If each notebook costs n dollars and each pen costs p dollars, write an equation and solve for n and p.

• n and p cannot be uniquely determined without additional information.

• n = 2, p = 1

• 5n + 3p = 12

• n + p = 4

Liam is 4 years older than Emma. If Emma's age is e, write an equation to express Liam's age and solve for e when Liam is 16.

• 18

• 12

• 14

• 10

A store sells t-shirts for $15 each and hoodies for $25 each. If the total sales from t-shirts and hoodies is $300, write an equation and solve for the number of t-shirts sold.

• 15

• 20

• 10

• 25

Maria has twice as many marbles as John. If John has j marbles, write an equation to represent the situation and solve for j when Maria has 30 marbles.

• 20

• 25

• 15

• 10

The sum of three times a number x and 4 is equal to 22. Write an equation and solve for x.

• 6

• 10

• 8

• 4

A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make a batch that uses 5 cups of flour, how many cups of sugar will you need? Write an equation and solve for the amount of sugar.

• 3.5 cups of sugar

• 5 cups of sugar

• 10 cups of sugar

• 7.5 cups of sugar

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer paid $70, write an equation to find out how many miles they drove and solve for the miles driven.

• 50 miles

• 100 miles

• 200 miles

• 150 miles

In a class, the number of boys is 5 less than twice the number of girls. If there are g girls, write an equation and solve for g when there are 15 boys.

• 12

• 10

• 6

• 8

A gardener has 3 times as many flowers as shrubs. If the total number of flowers and shrubs is 48, write an equation and solve for the number of shrubs.

• 20

• 15

• 12

• 10