NAME DATE PERIOD

7-5 Homework Practice

Solve and Write Division Equations

Solve each equation. Check your solution.

1. 5 =r7 2. 6 =j8 3. 7 =k7

4. p4= 12 5. h6= 8 6. s7= 12

7. 11 =r13 8. 14 =a30 9. 12 =q14

10. p15= 9 11. y17= 10 12. b12= 15

13. 4.7 =r5 14. 0.3 =d11 15. 1.9 =r0.3

16. b15= 0.9 17. 1.4 =c1.4 18. 5.3 =d9.2

Write and solve a division equation.

19. POTTERY Dr. Anthro has a piece of Roman pottery that is 954 years old. This is one third as old as a piece of his Grecian pottery. How old is his piece of Grecian pottery?

20. BREAD Mrs. Dinh is dividing a loaf of bread into equal sections for herself, her husband, and their four children. If each person’s serving has 210 Calories, how many Calories are in the loaf?

7-5 Study Guide

Solve and Write Division Equations

Use multiplication to solve division equations.

Example 1

Solve x4 = 6.

Method 1: Use models. Method 2: Use symbols.

Model the equation. x4 = 6 Write the equation.

x4 (4) = 6(4) Multiply each side by 4 to

undo the division on the left.

x = 24 Simplify.

There are four equal groups of 6. Multiply. Check x4 = 6 Write the original equation.

6 × 4 = 24 244 ≟ 6 Replace x with 24.

The solution is 24. 6 = 6 The sentence is true. P

Example 2

The Yungs are making 6 payments of $200 on their new television set. What was the cost of the television set?

Words: Total cost divided by 6 is $200.

c6 = 200 Write the equation.

c6 (6) = 200(6) Multiply both sides by 6.

c = 1,200 Simplify.

The total cost of the television was $1,200.

Course 1 • Chapter 7 Equations 113