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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. - PowerPoint PPT Presentation
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Solving Equations byMultiplying or Dividing
Objective: Solve equations using the multiplication and division properties
of equality.
Minute Check
Solve each equation.
1. x – 3 = 5
Minute Check
Solve each equation.
1. x – 3 = 5 8
Minute Check
Solve each equation.
1. x – 3 = 5
2. y + 9 = 7
Minute Check
Solve each equation.
1. x – 3 = 5
2. y + 9 = 7 -2
Minute Check
Solve each equation.
1. x – 3 = 5
2. y + 9 = 7
3. 13 = m – 6
Minute Check
Solve each equation.
1. x – 3 = 5
2. y + 9 = 7
3. 13 = m – 6 19
Minute Check
Solve each equation.
1. x – 3 = 5
2. y + 9 = 7
3. 13 = m – 6
4. n – (-1) = 1
Minute Check
Solve each equation.
1. x – 3 = 5
2. y + 9 = 7
3. 13 = m – 6
4. n – (-1) = 1 0
Minute Check
Solve each equation.
1. x – 3 = 5
2. y + 9 = 7
3. 13 = m – 6
4. n – (-1) = 1
5. f + 4 = -5
Minute Check
Solve each equation.
1. x – 3 = 5
2. y + 9 = 7
3. 13 = m – 6
4. n – (-1) = 1
5. f + 4 = -5 -9
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.
Solving Equations by Multiplying or Dividing
ExampleSolve 8y = 96. Check your solution.
Solving Equations by Multiplying or Dividing
ExampleSolve 8y = 96. Check your solution.
8y/8 = 96/8 Divide each side by 8.
Solving Equations by Multiplying or Dividing
ExampleSolve 8y = 96. Check your solution.
8y/8 = 96/8 Divide each side by 8.
y = 12
Solving Equations by Multiplying or Dividing
ExampleSolve 8y = 96. Check your solution.
8y/8 = 96/8 Divide each side by 8.
y = 12Check: 8y = 96 Replace y with 12.
Solving Equations by Multiplying or Dividing
ExampleSolve 8y = 96. Check your solution.
8y/8 = 96/8 Divide each side by 8.
y = 12Check: 8y = 96 Replace y with 12.
8(12) ? 96
Solving Equations by Multiplying or Dividing
ExampleSolve 8y = 96. Check your solution.
8y/8 = 96/8 Divide each side by 8.
y = 12Check: 8y = 96 Replace y with 12.
8(12) ? 96 96 = 96 The solution is 12.
Solving Equations by Multiplying or Dividing
Multiplication Property of Equality
For any numbers a, b, and c, if a = b, then ac = bc.
Solving Equations by Multiplying or Dividing
Example 2
Solve y/-6 = 12. Check your solution.
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
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
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
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
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.
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?
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.
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.
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.
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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