# Solving Linear Equations with Justification of Properties

## Presentation on theme: "Solving Linear Equations with Justification of Properties"— Presentation transcript:

Solving Linear Equations with Justification of Properties
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Let’s use properties to justify the steps we used to solve an equation.
-2(x + 2) = 10 Step 1: -2x – 4 = 10 Distributive Property Step 2: Addition Property of Equality Step 3: -2x + 0 = Additive Inverse Step 4: x = Additive Identity Step 5: x = Division Property of Equality Step 6: x = -7

Let’s use properties to justify the steps we used to solve an equation.
2(6x – 4) = 6 Step 1: x - 8 = Distributive Property Step 2: Addition Property of Equality Step 3: 12x = Additive Inverse Step 4: x = Additive Identity Step 5: x = Division Property of Equality Step 6: x = 14/ Multiplicative Inverse Step 7: x = 7/ Multiplicative Identity

Step 3: -12x - 4 = 0 - 12 Additive Inverse
Let’s use properties to justify the steps we used to solve an equation. -2(x + 2) = 10x - 12 Step 1: -2x – 4 = 10x - 12 Distributive Property Step 2: -10x -10x Subtraction Property of Equality Step 3: -12x - 4 = Additive Inverse Step 4: -12x – 4 = Additive Identity Step 5: x + 0 = Addition Property of Equality Step 6: x = Additive Inverse Step 7: x = Additive Identity Step 8: x = -8/ Division Property of Equality Step 9: x = -8/ Multiplicative Inverse Step 10: x = 2/ Multiplicative Identity

Fill in the blanks to justify the steps we used to solve an equation.
-2(3x - 2) = x - 10 Step 1: -6x + 4 = x - 10 Distributive Property Step 2: -x -x Subtraction Property of Equality Step 3: -7x + 4 = Additive Inverse Step 4: -7x + 4 = Additive Identity Step 5: -7x + 0 = Subtraction Property of Equality Step 6: x = Additive Inverse Step 7: x = Additive Identity Step 8: x = -14/ Division Property of Equality Step 9: x = Multiplicative Inverse Step 10: x = Multiplicative Identity

Now it is your turn! Journal Entry 1
15x + 1 = 9x - 5 Steps: Properties: