Solving 6th Grade Equations: Identify Variables & Evaluate

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 + 5

• 5 - x

• x + 10

• x - 5

2. A rectangle has a length of 3 meters and a width of w meters. If the perimeter is 18 meters, what is the value of w?

• 10

• 8

• 6

• 4

3. Tom is saving money. He has y dollars and saves 10 more each week. Write an expression for the total amount he will have after 4 weeks.

• y + 40

• y + 20

• y + 30

• y + 50

4. The sum of a number n and 12 is equal to 30. What is the value of n?

• 18

• 22

• 25

• 16

5. A book costs $x. If you buy 3 books, how much do you spend? Write an expression for the total cost.

• x + 3

• 3x

• 4x

• 2x

6. Lisa has 20 candies. She gives away c candies to her friends. Write an equation to find out how many candies she has left.

• c - 20

• 20 * c

• 20 - c

• 20 + c

7. The total cost of 5 notebooks is $25. Write an equation to find the cost of one notebook, n.

• n = 15

• n = 10

• n = 5

• n = 20

8. If the temperature today is t degrees and it increases by 5 degrees tomorrow, what will the temperature be tomorrow? Write an expression for tomorrow's temperature.

• t - 5

• t + 5

• t / 2

• t + 10

9. A car travels at a speed of s miles per hour. How far will it travel in 3 hours? Write an expression for the distance traveled.

• 9s

• s/3

• 6s

• 3s

10. If you have 2 times a number p and you add 6, the result is 18. What is the value of p?

• 10

• 8

• 6

• 4