Download presentation

Presentation is loading. Please wait.

Published byKimberly Waddell Modified over 3 years ago

1
September 8, 2011 "The way to be nothing is to do nothing." -- Nathaniel Howe Test prep, p. 18 # 9 - 12

2
Reasoning in Algebra Properties of Equality

3
1. Addition Property of Equality If a = b, then a + c = b + c Example: If x – 3 = -8, then x = -5

4
2. Subtraction Property of Equality If a = b, the a – c = b – c Example: If 15 = a + 4, then 11 = a

5
3. Multiplication Property of Equality If a = b, then a ( c ) = b ( c ) Example: If then r = 40

6
4. Division Property of Equality If a = b, then Example: If 4c = -96, then c = -24

7
5. Reflexive Property of Equality a = a Example: x + 3 = x + 3

8
6. Symmetric Property: If a = b, then b = a Example: If 15 = 3t, then 3t = 15

9
7. Transitive Property: If a = b and b = c, then a = c Example: If d = 3y and 3y = 6, then d = 6

10
8. Substitution Property: If a = b, then b can replace a in any expression. Example: If x = 10, then x + y = 10 + y

11
9. Distributive Property a(b + c) = ab + ac Example: 5(4 + 2) = 20 + 10

12
Properties of Congruence

13
1.Reflexive Property of Congruence

14
2.Symmetric Property of Congruence If then

15
3.Transitive Property of Congruence If and then

16
Solve 5x – 12 = 32 + x for x 1. 5x-12 = 32 + x 5x = 44 + x 2.4x = 44 3. x = 11 Given Addition Property of Equality Subtraction Property of Equality Division Property of Equality

17
AB + BC = AC (4 + 2x) + (15 – x) = 21 19 + x = 21 X = 2 Segment Addition Postulate Substitution Property of Equality Simplify Subtraction Property of Equality If AC = 21, solve for x

Similar presentations

Presentation is loading. Please wait....

OK

Chapter 2 Properties from Algebra

Chapter 2 Properties from Algebra

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Free ppt on reflection of light Download ppt on respiration in humans Ppt on total parenteral nutrition complications Ppt on steam reforming of ethanol Ppt on power generation by speed breaker games Ppt on application of trigonometry in different fields Human brain anatomy and physiology ppt on cells Ppt on indian political system Ppt on formal education chico Ppt on standing order 2-99