1. Solving One-Step Equations Objective: Use inverse operations to solve equations.

2. Overview Today, we will look at a different format to solving equations. Both methods use inverse operations. The format is the difference between the methods.

3. Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. a.k – 18 = 13

4. Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. a.k – 18 = 13 k = 13 + 18 Write a related addition sentence.

5. Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. a.k – 18 = 13 k = 13 + 18 Write a related addition sentence. k = 31

6. Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. b.20 + x = 32

7. Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. b.20 + x = 32 x = 32 – 20 Write a related subtraction sentence.

8. Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. b.20 + x = 32 x = 32 – 20 Write a related subtraction sentence. x = 12

9. Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. n/6 = 18

10. Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. c.n/6 = 18 n = 18 * 6 Write a related multiplication sentence.

11. Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. c.n/6 = 18 n = 18 * 6 Write a related multiplication sentence. n = 108

12. Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. d.2m = 54

13. Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. d.2m = 54 m = 54/2 Write a related division sentence.

14. Solving Equations Using Inverse Operations Example 1 Solve each equation using the inverse operations. d.2m = 54 m = 54/2 Write a related division sentence. m = 27

15. Solving Equations Using Inverse Operations Example 2 A number decreased by sixteen is 31. Find the number. Let n represent the number. Translate the words into an equation using the variable. A number decreased by 16 is 31

16. Solving Equations Using Inverse Operations Example 2 A number decreased by sixteen is 31. Find the number. Let n represent the number. Translate the words into an equation using the variable. A number decreased by 16 is 31 n – 16 = 31

17. Solving Equations Using Inverse Operations Example 2 A number decreased by sixteen is 31. Find the number. Let n represent the number. Translate the words into an equation using the variable. A number decreased by 16 is 31 n – 16 = 31 n = 31 + 16 Write a related addition sentence.

18. Solving Equations Using Inverse Operations Example 2 A number decreased by sixteen is 31. Find the number. Let n represent the number. Translate the words into an equation using the variable. A number decreased by 16 is 31 n – 16 = 31 n = 31 + 16 Write a related addition sentence. n = 47 The number is 47.

19. Solving Equations Using Inverse Operations Example 2 A number decreased by sixteen is 31. Find the number. Let n represent the number. Translate the words into an equation using the variable. A number decreased by 16 is 31 n – 16 = 31 n = 31 + 16 Write a related addition sentence. n = 47 The number is 47. Check: Since 47 – 16 = 31, the solution is correct.