Solving 6th Grade Equations: Identify Variables & Inverses

1. Sarah has x apples. If she buys 5 more apples, she will have 12 apples. What is the value of x?

• 10

• 8

• 7

• 6

2. A book costs $x. If you buy 3 books and spend $24, what is the cost of one book?

• 10

• 8

• 6

• 12

3. Tom has y marbles. He gives 8 marbles to his friend and now has 15 left. What is the value of y?

• 15

• 23

• 30

• 20

4. A rectangle has a length of 10 cm and a width of x cm. If the perimeter is 40 cm, what is the value of x?

• 10 cm

• 15 cm

• 20 cm

• 5 cm

5. Lisa scored x points on her test. If she scored 15 points more than her friend, who scored 20 points, what is x?

• 35

• 25

• 30

• 40

6. A movie ticket costs $x. If you buy 4 tickets for $32, what is the price of one ticket?

• 6

• 10

• 12

• 8

7. There are z students in a class. If 5 students leave, there are 20 students left. What is the value of z?

• 25

• 30

• 15

• 22

8. A box contains x chocolates. If you eat 3 chocolates and have 10 left, how many chocolates were in the box originally?

• 15

• 10

• 13

• 20

9. A car travels x miles in 2 hours. If it travels 60 miles in total, what is the value of x?

• 30 miles

• 50 miles

• 20 miles

• 40 miles

10. A gardener has x plants. If he buys 7 more plants and now has 25 plants, how many did he start with?

• 20

• 22

• 18

• 15