1. 1-8 Solving Equations Using Inverse Operations Objective: Use inverse operations to solve equations.

2. 5-Minute Check Use the grid to name the point for each ordered pair. 1.(2, 5)

3. 5-Minute Check Use the grid to name the point for each ordered pair. 1.(2, 5) P

4. 5-Minute Check Use the grid to name the point for each ordered pair. 1.(2, 5) 2.(4, 3)

5. 5-Minute Check Use the grid to name the point for each ordered pair. 1.(2, 5) 2.(4, 3)R

6. 5-Minute Check Use the grid to name the point for each ordered pair. 1.(2, 5) 2.(4, 3) 3.(1, 3)

7. 5-Minute Check Use the grid to name the point for each ordered pair. 1.(2, 5) 2.(4, 3) 3.(1, 3)V

8. 5-Minute Check Use the grid to name the ordered pair for each point. 4.Q

9. 5-Minute Check Use the grid to name the ordered pair for each point. 4.Q(3, 2)

10. 5-Minute Check Use the grid to name the ordered pair for each point. 1.Q 2.T

11. 5-Minute Check Use the grid to name the ordered pair for each point. 1.Q 2.T(6, 4)

12. 5-Minute Check Use the grid to name the ordered pair for each point. 1.Q 2.T 3.U

13. 5-Minute Check Use the grid to name the ordered pair for each point. 1.Q 2.T 3.U(3, 6)

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

15. 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.

16. 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

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

18. 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.

19. 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

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

21. 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.

22. 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

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

24. 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.

25. 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

26. 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

27. 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

28. 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.

29. 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.

30. 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.