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

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Minute Check Solve each equation. 1.x – 3 = 5

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Minute Check Solve each equation. 1.x – 3 = 58

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Minute Check Solve each equation. 1.x – 3 = 5 2.y + 9 = 7

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Minute Check Solve each equation. 1.x – 3 = 5 2.y + 9 = 7-2

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Minute Check Solve each equation. 1.x – 3 = 5 2.y + 9 = = m – 6

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Minute Check Solve each equation. 1.x – 3 = 5 2.y + 9 = = m – 619

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Minute Check Solve each equation. 1.x – 3 = 5 2.y + 9 = = m – 6 4.n – (-1) = 1

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Minute Check Solve each equation. 1.x – 3 = 5 2.y + 9 = = m – 6 4.n – (-1) = 10

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Minute Check Solve each equation. 1.x – 3 = 5 2.y + 9 = = m – 6 4.n – (-1) = 1 5.f + 4 = -5

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Minute Check Solve each equation. 1.x – 3 = 5 2.y + 9 = = m – 6 4.n – (-1) = 1 5.f + 4 = -5-9

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Solving Equations by Multiplying or Dividing Division Property of Equality For any numbers a, b, and c, where c 0, if a = b, then a / c = b / c.

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

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

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

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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 = 96Replace y with 12.

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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 = 96Replace y with 12. 8(12) ? 96

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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 = 96Replace y with 12. 8(12) ? = 96The solution is 12.

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Solving Equations by Multiplying or Dividing Multiplication Property of Equality For any numbers a, b, and c, if a = b, then ac = bc.

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

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

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

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

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

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

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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?

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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.

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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*LWrite an equation.

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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*LWrite an equation. 105/5 = 5*L/5Divide each side by 5.

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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*LWrite an equation. 105/5 = 5*L/5Divide each side by = LThe solution is 21.

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