1. PRE-ALGEBRA

2. Lesson 2-6 Warm-Up

3. PRE-ALGEBRA What is the “Division Property of Equality”? Rule: Division Property of Equality: If you divide both sides of an Equality by the same number, both sides remain equal. If a = b, then a  c = b  c Example: If 10  2 = 5, then = = 1 1 = 1  10  2 5 55 55 Solving Equations by Multipying and Dividing (2-6)

4. PRE-ALGEBRA Solve –2v = –24. –2v = –24 v = 12 Simplify. Divide each side by –2. –2v –2 –24 –2 = Check–2v = –24 –2 (12) –24 Replace v with 12. –24 = –24 Solving Equations by Multiplying or Dividing LESSON 2-6 Additional Examples 1 1 12 1 1

5. PRE-ALGEBRA 288 pens are boxed by the dozen. How many boxes are needed? Let Equation 288 = b number of pens Words times number of boxes. b is 12 number of boxes = Solving Equations by Multiplying or Dividing LESSON 2-6 Additional Examples

6. PRE-ALGEBRA (continued) 288 = 12b 24 = b Use the Identity Property of Multiplication. 24 boxes are needed. Divide each side by 12. 288 12 12b 12 = Check: Is the answer reasonable? Twelve times the number of boxes is the number of pens. Since 12  24 = 288, the answer is reasonable. 24 = b Simplify. Solving Equations by Multiplying or Dividing LESSON 2-6 Additional Examples 1 1 1

7. PRE-ALGEBRA What is the “Multiplication Property of Equality”? Rule: Multiplication Property of Equality: If you multiply both sides of an equality by the same number, both sides remain equal. If a = b, then ac = bc Example: If 3 10 = 30, then (3 10)(2) = 30 (2)) 30 (2) = 60 60 = 60  Solving Equations by Multipying and Dividing (2-6)

8. PRE-ALGEBRA Solve = 9. x = 54 Simplify. x6x6 Isolate the variable. Use the Multiplication Property of Equality. = x6x6 () LESSON 2-6 Additional Examples Solving Equations by Multiplying or Dividing 6161 9191 6161 1 1

9. PRE-ALGEBRA Solve = – 5. x = – 40Simplify. x8x8 = – 5 x8x8 x8x8 = ( ) Multiply each side by 8. Solving Equations by Multiplying or Dividing LESSON 2-6 Additional Examples 8181 8181 5151 1 1

10. PRE-ALGEBRA –6 Solve each equation. 1.8x = –482.–2x = 18 3.108 = 9x4. = 14 5.–6 = v –3 n4n4 –9 12–42 –24 Lesson Quiz Solving Equations by Multiplying or Dividing LESSON 2-6