Solving 7th Grade Equation Word Problems: Variables & Expressions

1. Sarah has x apples. If she buys 5 more apples, how many apples does she have now? Write an equation to represent this situation.

• x + 10

• x - 5

• 5 - x

• x + 5

2. A book costs $y. If you buy 3 books, how much do you spend in total? Write an expression to evaluate the total cost.

• $3y

• 6y

• 3y

• $y

3. Tom is x years old. In 5 years, he will be twice as old as he is now. Write an equation to find x.

• 2x = x + 5

• x + 5 = 2x

• x - 5 = 2

• 5

4. A rectangle has a length of 2x and a width of x. What is the area of the rectangle? Write an expression for the area and evaluate it when x = 3.

• 18

• 24

• 12

• 6

5. The total cost of 4 notebooks is $20. If each notebook costs y dollars, write an equation to find y.

• y = 6

• y = 5

• y = 10

• y = 4

6. A car travels at a speed of x miles per hour. How far will it travel in 3 hours? Write an expression for the distance and evaluate it when x = 60.

• 200 miles

• 150 miles

• 180 miles

• 120 miles

7. Lisa has $50. She spends x dollars on a shirt and y dollars on a pair of shoes. Write an equation to represent how much money she has left.

• 50 - y

• x + y

• 50 - (x + y)

• 50 - x

8. The perimeter of a square is 4s, where s is the length of a side. If the perimeter is 36, what is the value of s?

• 6

• 12

• 9

• 15

9. A recipe requires 2x cups of flour. If you want to make half the recipe, how much flour do you need? Write an expression and evaluate it when x = 4.

• 4 cups of flour

• 6 cups of flour

• 8 cups of flour

• 2 cups of flour

10. A movie ticket costs $x. If you buy 5 tickets, how much do you spend? Write an expression for the total cost and evaluate it when x = 10.

• 50

• 60

• 30

• 40