1. 3.1 Solve One –Step
Equations

2. Vocabulary:
inverse operation: two operations that undo each
other.
equivalent equation: equations with the same
solution.
reciprocal:

3. Properties: (page 125)
 Addition Property of Equality: If the same
number is added to both sides of an equation,
the two sides remain equal.
 Subtraction Property of Equality: States that
when both sides of an equation have the same
number subtracted from them, the remaining
expressions are still equal.

4. Properties (cont.)
 Multiplication Property of Equality: The two
sides of an equation remain equal if they are
multiplied by the same number.
 Division Property of Equality: Division Property
of Equality states that dividing both sides of an
equation by a non-zero number doesn't affect
the equation.

5. Example 1:
x+5=3 x + 2 = 17

6. Example 2:
x–7=3 x – 12 = 3

7. Example 3:
-6x = 48 -65 = -5y

8. Example 4:
5 −
w =10 12 =
3
m
6 4