1. Solving Two-Step Equations
Algebra 1: Section 2-2
Solving Two-Step Equations

2. Objectives:
To solve two-step equations
To use deductive reasoning

3. Steps to Solving Two-Step Equations:
Step 1: Use the addition or subtraction property of equality to get the term with a variable alone on one side of the equation.
Step 2: Use the multiplication or division property of equality to write an equivalent equation in which the variable has a coefficient of 1.

4. Examples: 2y – 3 = 7 + 3 + 3 2y = 10 2 2 Y = 5 Check: 2(5) – 3 = 7
2y = 10
Y = 5
Check:
2(5) – 3 = 7
= 7
7 = 7
-x + 7 = 12
-x = 5
X = -5
Check:
-(-5) + 7 = 12
= 12
12 = 12

5. Using Deductive Reasoning
-9 – 4m = 3
-4m = 12
m = -3
Check:
-9 – 4(-3) = 3
= 3
3 = 3
Original equation
Addition Property
Addition
Division Property
Divide

6. Assignment:
Pg. 84: multiples of 3 #3-54,
59, 67, 68, 69, 76, 77, 79