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Solving Equations by Multiplying or Dividing

Solving Equations by Multiplying or Dividing. Objective: Solve equations using the multiplication and division properties of equality. Minute Check. Solve each equation. x – 3 = 5. Minute Check. Solve each equation. x – 3 = 5 8. Minute Check. Solve each equation. x – 3 = 5 y + 9 = 7.

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Solving Equations by Multiplying or Dividing

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  1. Solving Equations byMultiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality.

  2. Minute Check • Solve each equation. • x – 3 = 5

  3. Minute Check • Solve each equation. • x – 3 = 5 8

  4. Minute Check • Solve each equation. • x – 3 = 5 • y + 9 = 7

  5. Minute Check • Solve each equation. • x – 3 = 5 • y + 9 = 7 -2

  6. Minute Check • Solve each equation. • x – 3 = 5 • y + 9 = 7 • 13 = m – 6

  7. Minute Check • Solve each equation. • x – 3 = 5 • y + 9 = 7 • 13 = m – 6 19

  8. Minute Check • Solve each equation. • x – 3 = 5 • y + 9 = 7 • 13 = m – 6 • n – (-1) = 1

  9. Minute Check • Solve each equation. • x – 3 = 5 • y + 9 = 7 • 13 = m – 6 • n – (-1) = 1 0

  10. Minute Check • Solve each equation. • x – 3 = 5 • y + 9 = 7 • 13 = m – 6 • n – (-1) = 1 • f + 4 = -5

  11. Minute Check • Solve each equation. • x – 3 = 5 • y + 9 = 7 • 13 = m – 6 • n – (-1) = 1 • f + 4 = -5 -9

  12. Solving Equations by Multiplying or Dividing

  13. Solving Equations by Multiplying or Dividing Example Solve 8y = 96. Check your solution.

  14. Solving Equations by Multiplying or Dividing Example Solve 8y = 96. Check your solution. 8y/8 = 96/8 Divide each side by 8.

  15. Solving Equations by Multiplying or Dividing Example Solve 8y = 96. Check your solution. 8y/8 = 96/8 Divide each side by 8. y = 12

  16. Solving Equations by Multiplying or Dividing Example Solve 8y = 96. Check your solution. 8y/8 = 96/8 Divide each side by 8. y = 12 Check: 8y = 96 Replace y with 12.

  17. Solving Equations by Multiplying or Dividing Example Solve 8y = 96. Check your solution. 8y/8 = 96/8 Divide each side by 8. y = 12 Check: 8y = 96 Replace y with 12. 8(12) ? 96

  18. Solving Equations by Multiplying or Dividing Example Solve 8y = 96. Check your solution. 8y/8 = 96/8 Divide each side by 8. y = 12 Check: 8y = 96 Replace y with 12. 8(12) ? 96 96 = 96 The solution is 12.

  19. Solving Equations by Multiplying or Dividing

  20. Solving Equations by Multiplying or Dividing Example 2 Solve y/-6 = 12. Check your solution.

  21. Solving Equations by Multiplying or Dividing Example 2 Solve y/-6 = 12. Check your solution. -6 * y/-6 = -6 * 12 Multiply each side by –6

  22. Solving Equations by Multiplying or Dividing Example 2 Solve y/-6 = 12. Check your solution. -6 * y/-6 = -6 * 12 Multiply each side by –6 y = -72

  23. Solving Equations by Multiplying or Dividing Example 2 Solve y/-6 = 12. Check your solution. -6 * y/-6 = -6 * 12 Multiply each side by –6 y = -72 Check: y/-6 = 12 Replace y with -72

  24. Solving Equations by Multiplying or Dividing Example 2 Solve y/-6 = 12. Check your solution. -6 * y/-6 = -6 * 12 Multiply each side by –6 y = -72 Check: y/-6 = 12 Replace y with -72 -72/-6 ? 12

  25. Solving Equations by Multiplying or Dividing Example 2 Solve y/-6 = 12. Check your solution. -6 * y/-6 = -6 * 12 Multiply each side by –6 y = -72 Check: y/-6 = 12 Replace y with –72. -72/-6 ? 12 12 = 12 The solution is –72.

  26. Solving Equations by Multiplying or Dividing Application: Tom has a piece of rope that is 105 feet long. He wants to cut the rope into 5 equal pieces. How long will each piece be?

  27. Solving Equations by Multiplying or Dividing Application: Tom has a piece of rope that is 105 feet long. He wants to cut the rope into 5 equal pieces. How long will each piece be? Let L represent the length of each piece.

  28. Solving Equations by Multiplying or Dividing Application: Tom has a piece of rope that is 105 feet long. He wants to cut the rope into 5 equal pieces. How long will each piece be? Let L represent the length of each piece. 105 = 5*L Write an equation.

  29. Solving Equations by Multiplying or Dividing Application: Tom has a piece of rope that is 105 feet long. He wants to cut the rope into 5 equal pieces. How long will each piece be? Let L represent the length of each piece. 105 = 5*L Write an equation. 105/5 = 5*L/5 Divide each side by 5.

  30. Solving Equations by Multiplying or Dividing Application: Tom has a piece of rope that is 105 feet long. He wants to cut the rope into 5 equal pieces. How long will each piece be? Let L represent the length of each piece. 105 = 5*L Write an equation. 105/5 = 5*L/5 Divide each side by 5. 21 = L The solution is 21.

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