2.4 Reasoning w props from Alg

2.4 Reasoning w props from Alg - then a=c. Substitution...

Info iconThis preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
2.4 Reasoning with Properties from Algebra p. 96
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Properties of Equality Properties of Equality Addition property of equality- if a=b, then a+c=b+c. (can add the same #, c, to both sides of an equation) Subtraction property of equality - If a=b, then a-c=b-c. (can subtract the same #, c, from both sides of an equation) Multiplication prop. of equality- if a=b, then ac=bc. Division prop. of equality- if a=b, then c b c a =
Background image of page 2
Properties of = (cont.) Properties of = (cont.) Reflexive prop. of equality- a=a Symmetric prop of equality- if a=b, then b=a. Transitive prop of equality- if a=b and b=c,
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 4
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Background image of page 6
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: then a=c. Substitution prop of equality-if a=b, then a can be plugged in for b and vice versa. Distributive prop.-a(b+c)=ab+ac OR (b+c)a=ba+ca Ex: Solve the equation & write a reason for each step. 1. 2(3x+1)=5x+14 2. 6x+2=5x+14 3. x+2=14 4. x=12 1. Given 2. Distributive prop 3. Subtraction prop of = 4. Subtraction prop of = Solve 55z-3(9z+12)=-64 & write a reason for each step. 1. 55z-3(9z+12)=-64 2. 55z-27z-36=-64 3. 28z-36=-64 1. 28z=-28 2. z=-1 1. Given 2. Distributive prop 3. Simplify (or collect like terms) 4. Addition prop of = 5. Division prop of = Assignment Assignment...
View Full Document

This note was uploaded on 02/12/2011 for the course MTG 3212 taught by Professor Jackson during the Spring '11 term at University of Florida.

Page1 / 6

2.4 Reasoning w props from Alg - then a=c. Substitution...

This preview shows document pages 1 - 6. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online