Download presentation

Presentation is loading. Please wait.

Published byJessie Gregory Modified over 6 years ago

1
Reasoning with Properties from Algebra

2
Properties of Equality Addition (Subtraction) Property of Equality If a = b, then: a + c = b + c a – c = b – c If x + 8 = 20, Then x = 12 Why? Subtract Prop. of =

3
Properties of Equality Multiplication (Division) Property of Equality If a = b, then: ac = bc If 4x = 32, Then x = 8 Why? Division Prop. of =

4
Properties of Equality Reflexive Prop. of = a = a3 = 3 Why? Reflex Prop = Symmetric Prop. of = If a = b, then b = a. If 54 = x, then x=54 Why? Symm. Prop =

5
Properties of Equality Transitive Prop. of = If a = b and b = c, then a = c If 2x = y and y = 48, then 2x = 48 Why? Transitive Prop. Substitution Prop. of = If a = b, then a can replace b in an equation If 4x + 5 = 3y and x =-2, then 4(-2) + 5 = 3y Why? Substitution Prop.

6
Distributive Property a(b + c) = ab + ac. a(b – c) = ab – ac. -x(3x + 2) = 27 -3x 2 – 2x = 27 Why? Distributive Prop.

7
Solve: 5x – 18 = 3x + 2 and give a reason for each step. 5x – 18 = 3x + 2Given StepReason 2x – 18 = 2Subtraction POE 2x = 20Addition POE x = 10Division POE

8
Solve: 55z – 3(9z + 12) = -64 and give a reason for each step. 55z – 3(9z + 12) = -64Given StepReason 55z – 27z – 36 = -64Distributive Prop 28z – 36 = -64Simplify/Substitution 28z = -28Addition POE z = -1Division POE

9
What is the reason for each step in the solution? 2. 10 – 8n = –62. Multiplication POE 1. Given1. StepReason 3. – 8n = –163. Subtraction POE 4. n = 24. Division POE

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