1. Solving Linear Equations with Justification of Properties

2. Let’s use properties to justify the steps we used to solve an equation. -2x – 4 = 10 Step 1: +4 +4 Addition Property of Equality Step 3: -2x = 14 Additive Identity Step 4: -2x = 14 Division Property of Equality -2 -2 Step 5: 1 x = -7 Multiplicative Inverse Step 2: -2 x + 0 = 14 Additive Inverse Step 6: x = -7 Multiplicative Identity

3. Let’s use properties to justify the steps we used to solve an equation. 12x – 1 = 3 Step 1: +1 +1 Addition Property of Equality Step 3: 12x = 4 Additive Identity Step 4: 12x = 4 Division Property of Equality 12 12 Step 5: 1x = 4/12 Multiplicative Inverse Step 2: 12 x + 0 = 4 Additive Inverse Step 6: x = 1/3 Multiplicative Identity

4. Now it is your turn! Journal Entry 1 15x + 1 = 9 Steps: Properties: