Solving Equations & Evaluating Expressions for 6th Graders

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.

• 5x

• x + 10

• x + 5

• x - 5

2. The equation y = 3x + 2 represents the number of books y that John has if he buys x more books. If John buys 4 more books, how many books does he have?

• 10

• 12

• 14

• 16

3. A rectangle has a length of x meters and a width of 3 meters. Write an expression for the perimeter of the rectangle and evaluate it when x = 5.

• 18 meters

• 12 meters

• 10 meters

• 16 meters

4. If the equation z = 2y - 7 describes the number of stickers z that Emily has after giving away y stickers, how many stickers does she have if she gives away 10 stickers?

• 13

• 15

• 20

• 5

5. Tom is saving money. He has m dollars and saves 15 more each week. Write an equation to show how much money he has after w weeks and evaluate it for w = 3.

• m + 45

• m + 15

• m + 30

• m + 60

6. The total cost C of buying x notebooks at $2 each can be represented by the equation C = 2x. How much will it cost to buy 6 notebooks?

• $12

• $6

• $10

• $15

7. A car travels at a speed of s miles per hour. If it travels for t hours, the distance d can be represented by the equation d = st. How far does the car travel if s = 60 and t = 2?

• 150 miles

• 90 miles

• 100 miles

• 120 miles

8. The equation p = 4q + 1 shows the number of pages p in a book if there are q chapters. If there are 5 chapters, how many pages are in the book?

• 10

• 21

• 30

• 15

9. Lisa has n candies. If she eats 3 candies, how many candies does she have left? Write an equation to represent this situation and evaluate it for n = 10.

• 6

• 10

• 7

• 8

10. The equation a = 5b + 10 represents the total amount a of money in dollars if b is the number of bills. How much money is there if there are 4 bills?

• 30

• 50

• 40

• 20