1. 3.2 Multiplication Property of Equality (MPE)

2. Definition Coefficient:
numeric factor that is being multiplied by the variable.
Example:
-3x
½ y ½

3. The Multiplication Property of Equality
For all rational numbers a, b , and c
If a = b, then ac = bc
You can multiply the same number by both sides.
When you multiply by the reciprocal it is the same as dividing.

4. To solve an equation like 8x = 96
Goal: need to isolate the variable on one side of the equal sign.
How: do the opposite operation of what is being done to the variable.
Why: by doing the opposite operation it will make the coefficient of x “1”.
Rule: whatever you do to one side of the equation you must do to the other.

5. Solve: 5x = 30
Show your work
exactly like this
tonight

6. Solve: -7x = 49

7. Always remember to reduce the fractions!!
Solve: -12x = -8
Always remember to reduce the fractions!!

8. Solve:

9. To solve an equation like:
Multiply both sides of the equation by the reciprocal of the coefficient

10. Solve:
If a negative sign is on the outside of a fraction put it in the numerator.

11. Solve:

12. Solve:

13. If a variable does not have a coefficient put 1 in front of it.
Solve:

14. Solve:

15. Solve:

16. Let j= the cost of one juice bottle
Penny bought a 12-bottle case of juice on sale for $ What was the price of each bottle?
Let j= the cost of one juice bottle

17. Homework Page 122 (2-36 even and 40, 41,) Remember to show all work