This document discusses solving equations using multiplication and division transformations. It explains that equations can be in the form of 3x = -9 or 2/3 x = 18. To solve these equations, the properties of equality allow multiplying or dividing both sides of an equation by the same non-zero value. This preserves equality. The document provides examples of solving equations by dividing both sides by -3 or multiplying both sides by -1/3. Both operations result in the same solution. It emphasizes showing all the steps when solving equations and checking answers mentally.

1. Solving Equations Using Multiplication & Division TransformationsSection 3.1 Page 135

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

3. Properties of EqualityMultiplication Property of Equality If a = b, then ca = cbDivision Property of EqualityIf a = b, then a = b c c c = 0

4. 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.

5. Solve: -3x = 15Solving Equations Using Multiplication & Division Transformations

6. Solve: -3x = 15-3x = 15 divide by -3 -3 -3 x = -5 simplifySolving Equations Using Multiplication & Division Transformations

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

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

9. Solve each equationIs x/4 the same as 1/4x?

10. Solve each equation

11. Assignment : P. 138 (#17-25, 40-47, 49)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.