Solving Multi-Step Equations with Distributive Property

1. Sarah has 3 times as many apples as Tom. If Tom has x apples, write an equation to represent the total number of apples Sarah and Tom have. Then, if Tom has 4 apples, how many apples do they have together?

• 20

• 8

• 12

• 16

2. A store sells pencils for $2 each and erasers for $1.50 each. If you buy 5 pencils and y erasers, write an equation for the total cost. If you spend $15, how many erasers did you buy?

• 3

• 5

• 4

• 2

3. The perimeter of a rectangle is 50 meters. If the length is 5 meters more than twice the width, write an equation to find the width. What is the width of the rectangle?

• 20/3 meters

• 10 meters

• 15 meters

• 25 meters

4. A recipe requires 2 cups of flour and 3 cups of sugar. If you want to make x batches of the recipe, write an equation for the total amount of flour and sugar needed. If you want to make 4 batches, how much flour and sugar do you need?

• 6 cups of flour and 9 cups of sugar

• 4 cups of flour and 6 cups of sugar

• 10 cups of flour and 15 cups of sugar

• 8 cups of flour and 12 cups of sugar

5. A car rental company charges a flat fee of $20 plus $0.50 per mile driven. If you drive m miles, write an equation for the total cost. If your total cost is $45, how many miles did you drive?

• 50 miles

• 100 miles

• 70 miles

• 30 miles

6. In a school, the number of students in the 7th grade is twice the number of students in the 6th grade. If there are y students in the 6th grade, write an equation for the total number of students in both grades. If there are 30 students in the 6th grade, how many students are there in total?

• 60

• 75

• 100

• 90

7. A gardener is planting flowers in rows. Each row has 4 more flowers than the previous row. If the first row has x flowers, write an equation for the total number of flowers in 5 rows. If the first row has 6 flowers, how many flowers are there in total?

• 80

• 60

• 50

• 70

8. A book costs $15 and a magazine costs $5. If you buy b magazines and 2 books, write an equation for the total cost. If you spend $40, how many magazines did you buy?

• 4

• 2

• 5

• 3

9. A swimming pool is being filled with water. The pool can hold 500 gallons, and it is currently filled with x gallons. If water is added at a rate of 10 gallons per hour, write an equation to find out how many hours it will take to fill the pool. If it currently has 250 gallons, how many hours will it take to fill it?

• 25 hours

• 20 hours

• 15 hours

• 30 hours

10. A train travels at a speed of 60 miles per hour. If it travels for t hours, write an equation for the total distance traveled. If the train travels 180 miles, how long did it travel?

• 2 hours

• 3 hours

• 5 hours

• 4 hours