Download presentation

Presentation is loading. Please wait.

Published byAntonia Briggs Modified over 6 years ago

1
**Solving Linear Equations with Justification of Properties**

PowerPoints must be narrated!

2
**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

3
**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

4
**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

5
**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

6
**Now it is your turn! Journal Entry 1**

15x + 1 = 9x - 5 Steps: Properties:

Similar presentations

© 2021 SlidePlayer.com Inc.

All rights reserved.

To make this website work, we log user data and share it with processors. To use this website, you must agree to our Privacy Policy, including cookie policy.

Ads by Google