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1-8 Solving Equations Using Inverse Operations

1-8 Solving Equations Using Inverse Operations. Objective: Use inverse operations to solve equations. 5-Minute Check. Use the grid to name the point for each ordered pair. (2, 5). 5-Minute Check. Use the grid to name the point for each ordered pair. (2, 5) P. 5-Minute Check.

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1-8 Solving Equations Using Inverse Operations

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  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. • (2, 5)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

  24. Solving Equations Using Inverse Operations • Example 1 • Solve each equation using the inverse operations. • 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. • 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.

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