1. 1-7 Solve Equations by Multiplying and Dividing

2. Ch. 1-7 Solving Equations by Multiplying & Dividing Steps to solve equation or isolate the variable: 1.Move variable if negative by using the addition property of equality 2.If the number you wish to move is multiplied by the variable use the division property of equality 3.If the number you wish is divided by the variable use the multiplication property of equality 4.Simplify 5.Check to see if your answer is correct

3. Multiplication Property of Equality When you multiply the same number/variable to each side of an equation, the two sides remain equal 5(2) = 10 5(2) x 3 = 10 x 3 30 = 30 S ÷ 9 = 5 S ÷ 9 x 9 = 5 x 9 S = 45 -11 = s ÷ 11 -11 x 11 = s ÷ 11 x s -121 = s

4. Division Property of Equality When you divide the same number/variable to each side of an equation, the two sides remain equal 5 x 2 = 10 5 x 2 / 5 = 10 / 5 2 = 2 p x 9 = 36 p ÷ 9 x 9 = 36 ÷ 9 p = 4 -11 = s x 11 -11 ÷ 11 = s ÷ 11 x 11 -1 = s

5. Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 7 Undo multiplication Step 1 Step 2 Step 3 Check Simplify Solving Equations by Dividing Section 1.8 Solving Equations by Multiplying or Dividing You want to isolate the variable Use Division Property of Equality The variable must be positive

6. Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 7 Solving Equations by Dividing Undo multiplication Step 1 Step 2 Step 3 Check Simplify Section 1.8 Solving Equations by Multiplying or Dividing You want to isolate the variable Use Division Property of Equality The variable must be positive

7. Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 7 Solving Equations by Multiplying Undo division Step 1 Step 2 Step 3 Check Simplify Section 1.8 Solving Equations by Multiplying or Dividing You want to isolate the variable Use Multiplication Property of Equality The variable must be positive

8. Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 7 Multiply by the reciprocal Step 1 Step 2 Step 3 Check Simplify Solving Equations by Multiplying Section 1.8 Solving Equations by Multiplying or Dividing You want to isolate the variable Use Multiplication Property of Equality The variable must be positive 10

9. Copyright ©, Long Beach Unified School District. All rights reserved. - Grade 7 Section 1.8 Solving Equations by Multiplying or Dividing Undo division Step 1 Step 2 Step 3 Check Simplify Rewrite Solving Equations by Multiplying You want to isolate the variable Use Multiplication Property of Equality The variable must be positive

10. Example 1: Solve each equation by doing the inverse of the operation shown. a.) -6y = -30b.) 5x = -15 d.) -12 = 3me.) 14 = 2m /-6 /-6 y = 5 /5 /5 x = -3 /2 /2 7 = m Rewrite m = 7 /3 /3 -4 = m Rewrite m = -4

11. Example 2: Solve each equation below by doing the inverse of the operation shown. a.) b.) c.)d.) 2* *2 d = -24 Divide by 2/3, remember that when you divide by a fraction, you multiply by the reciprocal! Divide by 1/4, remember that when you divide by a fraction, you multiply by the reciprocal! -4* * -4 Z = -8 3/2 * * 3/2 x = -9 1 3 4/1 * * 4/1 x = 20

12. Example 3: Determine whether -5 is a solution to the following equations. a.) 25v = -5b.) -2t = 10 c.)d.) noyes no yes

13. Homework Pg. 40 #12-32 even SHOW STEPS!!!