The document provides instructions and examples for solving equations using multiplication and division. It introduces equations of the form ax = b, where a and b are constants and x is the variable. It explains that the same operation must be applied to both sides of the equation to isolate the variable. Examples are provided such as -3x = 15, which is solved by dividing both sides by -3 to get x = -5. Students are given practice problems to solve equations and justify solution steps.

1. Lesson 3.2 , For use with pages 122-126 Solve the equation using mental math. 1. 5 m = 35 2. t ÷ 11 = 10

2. Lesson 3.2 , For use with pages 122-126 Solve the equation using mental math. 1. 5 m = 35 2. t ÷ 11 = 10 ANSWER 7 ANSWER 110

3. Solving Equations Using Multiplication & Division Transformations Section 3.2 Page 122

4. All of the equations we have solved so far have been in the form of: 3 + x = -5 Now we will look at equations in the form of: 3x = -9 2/3 x = 18 -2/5 x = -6/7 Notice how they are “connected” to the variable. (by what operation?)

5. Properties of Equality Multiplication Property of Equality If a = b, then ca = cb Division Property of Equality If a = b, then a = b c c c = 0

6. Just like addition and subtraction transformations, what ever you do to one side of the equation, you MUST do to the other. If you multiply one side by two, you must multiply the other side by two.

7. Solve: -3x = 15 -3x = 15 divide by -3 -3 -3 x = -5 simplify Note: do NOT use division sign – use fraction bar to represent division. Solving Equations Using Multiplication & Division Transformations

8. Solve: -3x = 15 -3x = 15 You could also Mult by – 1/3 (-1/3) (-3x) = 15 (-1/3) 1x = -5 x = -5 Is dividing by -3 the same thing as multiplying by -1/3? YES!!

9. -3x = - 8 -3x = - 8 -3 -3 divide by -3 x = + 8/3 or 2 2/3 Solving Equations Using Multiplication & Division Transformations

10. -12x = - 60 -12x = - 60 -12 -12 divide by -12 x = 5 Solving Equations Using Multiplication & Division Transformations

11. Solve each equation Is x/4 the same as 1/4x?

12. Solve each equation

13. Solve each equation

14. A movie theater has 1025 seats. Each row has 25 seats. How many rows are there in the theater? x = # of rows ( identify variable) 25x = 1025 write equation 25 25 x = 41 rows solve /label

15. The average charge in value of a company’s high-resolution graphic printer is -$150 per month. How many months later is the value relative to the original cost of -$1200? x = # months later -150x = -1200 -150 -150 x = 8 months later

16. Assignment : P. 124 10-22 evens,43-46 43-46 x = identify varible write equation Solve – answer questions You must show ALL the steps to solve on your paper. Having only the answer will NOT be counted correct. Check mentally to make sure your answer is correct.