Solving Multi-Step Equations: Distributing & Isolating Variables

A store sells pencils for $2 each and erasers for $3 each. If you buy 5 pencils and 2 erasers, how much do you spend in total?

• $10

• $14

• $16

• $12

Maria has twice as many marbles as John. If John has x marbles and together they have 36 marbles, how many marbles does Maria have?

• 24

• 30

• 18

• 12

A recipe requires 3 cups of flour and 2 cups of sugar. If you want to make 4 batches, how many cups of flour and sugar do you need in total?

• 15 cups of flour and 10 cups of sugar

• 10 cups of flour and 6 cups of sugar

• 8 cups of flour and 4 cups of sugar

• 12 cups of flour and 8 cups of sugar

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If you drove x miles, write an equation to find the total cost and solve for x if the total cost was $70.

• 150 miles

• 100 miles

• 200 miles

• 50 miles

In a class, the number of boys is 3 times the number of girls. If there are x girls and a total of 48 students, how many boys are there?

• 24

• 12

• 36

• 18

A gardener plants 5 rows of flowers with 8 flowers in each row. If he wants to plant 3 more rows, how many flowers will he have in total?

• 64

• 56

• 72

• 40

A book costs $15 and a magazine costs $5. If you buy x books and y magazines for a total of $60, write an equation and find the possible values for x and y.

• (5, 0)

• (2, 9)

• (1, 12)

• Possible values for (x, y) are (0, 12), (1, 9), (2, 6), (3, 3), (4, 0).

A swimming pool can be filled with water in 6 hours. If a hose can fill the pool in x hours, how long will it take to fill the pool if both the hose and the main water supply are used together?

• x/6

• x + 6

• 6x/(x + 6)

• 6/(x + 6)

A concert ticket costs $25. If you buy x tickets and spend a total of $200, how many tickets did you buy?

• 8

• 12

• 10

• 6

A box contains 12 chocolates. If you eat 3 chocolates each day, how many days will it take to finish the box?

• 3 days

• 5 days

• 6 days

• 4 days