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2.5 Algebraic Properties HW pg. 311 odds, 2125 odds, 28, 30 September 12, 2014 Bellwork Logic & Reasoning half sheet

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Page 1: 2.5 notes

2.5 Algebraic Properties

HW pg. 3­11 odds, 21­25 odds, 28, 30

September 12, 2014

BellworkLogic & Reasoning

half sheet

Page 2: 2.5 notes

2.5 Algebraic Properties

HW pg. 3­11 odds, 21­25 odds, 28, 30

September 12, 2014

2.5 Reason Using Properties from Algebra

Algebraic Properties of Equality

Addition: If a = b, then a + c = b + c

Subtraction: If a = b, then a - c = b - c

Multiplication: If a = b, then ac = bc

Division: If a = b and c ≠ 0, then a/c = b/c

Substitution: If a=b, then a can be substituted for b in any expression

Page 3: 2.5 notes

2.5 Algebraic Properties

HW pg. 3­11 odds, 21­25 odds, 28, 30

September 12, 2014

Distributive Property: a(b + c) = ab + ac

Page 4: 2.5 notes

2.5 Algebraic Properties

HW pg. 3­11 odds, 21­25 odds, 28, 30

September 12, 2014

Symmetric Property of Equality

Real Numbers: If a=b, then b=a

Segment Length: If AB = CD, then CD = AB

Angle Measure: If m<A=m<B, then m<B=m<A

Reflexive Property of Equality

Real Numbers: a = a

Segment Length: AB = AB

Angle Measure: m<A = m<A

Transitive Property of Equality

Real Numbers: If a=b & b=c, then a=c

Segment Length: If AB=CD & CD = EF, then AB=EF

Angle Measure: If m<A=m<B & m<B=m<C, then m<A=m<C

Page 5: 2.5 notes

2.5 Algebraic Properties

HW pg. 3­11 odds, 21­25 odds, 28, 30

September 12, 2014

Page 6: 2.5 notes

2.5 Algebraic Properties

HW pg. 3­11 odds, 21­25 odds, 28, 30

September 12, 2014

HW pg 108#3-11 odds21-25 odds,

28, 30(30 is one extra credit point if you

get it correct)