1. Review of the Addition and Multiplication Properties
Section 3.2
Solving Equations:
Review of the Addition and Multiplication Properties

2. Let a, b, and c represent numbers.
Addition Property
Let a, b, and c represent numbers.
If a = b then a + c = b + c
If a = b then a – c = b – c

3. Example
Solve and check the equation
2(5x – 3) = 11x

4. Example
Solve and check the equation
-4(-2x + 1) – 6x + 4 =

5. WORD PROBLEMS Translate and Solve
A number minus twelve is equal to twenty-nine.

6. Multiplication Property
Let a, b, and c represent numbers, (c≠0).
If a = b then a · c = b · c
If a = b then a ÷ c = b ÷ c

7. Example
Solve and check the equation
-3x – 3x =

8. Example
Solve and check the equation
4−10= 𝑧 −3

9. WORD PROBLEMS Translate and Solve
The product of negative eleven and a number is equal to fifty-five