solving equations by multiplying or dividing objective: solve equations using the multiplication and...
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![Page 1: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/1.jpg)
Solving Equations byMultiplying or Dividing
Objective: Solve equations using the multiplication and division properties
of equality.
![Page 2: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/2.jpg)
Minute Check
Solve each equation.
1. x – 3 = 5
![Page 3: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/3.jpg)
Minute Check
Solve each equation.
1. x – 3 = 5 8
![Page 4: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/4.jpg)
Minute Check
Solve each equation.
1. x – 3 = 5
2. y + 9 = 7
![Page 5: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/5.jpg)
Minute Check
Solve each equation.
1. x – 3 = 5
2. y + 9 = 7 -2
![Page 6: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/6.jpg)
Minute Check
Solve each equation.
1. x – 3 = 5
2. y + 9 = 7
3. 13 = m – 6
![Page 7: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/7.jpg)
Minute Check
Solve each equation.
1. x – 3 = 5
2. y + 9 = 7
3. 13 = m – 6 19
![Page 8: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/8.jpg)
Minute Check
Solve each equation.
1. x – 3 = 5
2. y + 9 = 7
3. 13 = m – 6
4. n – (-1) = 1
![Page 9: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/9.jpg)
Minute Check
Solve each equation.
1. x – 3 = 5
2. y + 9 = 7
3. 13 = m – 6
4. n – (-1) = 1 0
![Page 10: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/10.jpg)
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
![Page 11: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/11.jpg)
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
![Page 12: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/12.jpg)
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.
![Page 13: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/13.jpg)
Solving Equations by Multiplying or Dividing
ExampleSolve 8y = 96. Check your solution.
![Page 14: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/14.jpg)
Solving Equations by Multiplying or Dividing
ExampleSolve 8y = 96. Check your solution.
8y/8 = 96/8 Divide each side by 8.
![Page 15: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/15.jpg)
Solving Equations by Multiplying or Dividing
ExampleSolve 8y = 96. Check your solution.
8y/8 = 96/8 Divide each side by 8.
y = 12
![Page 16: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/16.jpg)
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.
![Page 17: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/17.jpg)
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
![Page 18: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/18.jpg)
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.
![Page 19: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/19.jpg)
Solving Equations by Multiplying or Dividing
Multiplication Property of Equality
For any numbers a, b, and c, if a = b, then ac = bc.
![Page 20: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/20.jpg)
Solving Equations by Multiplying or Dividing
Example 2
Solve y/-6 = 12. Check your solution.
![Page 21: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/21.jpg)
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
![Page 22: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/22.jpg)
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
![Page 23: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/23.jpg)
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
![Page 24: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/24.jpg)
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
![Page 25: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/25.jpg)
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.
![Page 26: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/26.jpg)
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?
![Page 27: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/27.jpg)
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.
![Page 28: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/28.jpg)
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.
![Page 29: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/29.jpg)
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.
![Page 30: Solving Equations by Multiplying or Dividing Objective: Solve equations using the multiplication and division properties of equality](https://reader036.vdocuments.us/reader036/viewer/2022062619/5515a54955034674578b6085/html5/thumbnails/30.jpg)
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.