2.3 diagrams and 2.4 algebraic reasoning. you will hand this in p. 88, 23
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2.3 Diagrams and 2.4 Algebraic Reasoning
You will hand this in
• P. 88, 23
Justify each step. What type of reasoning is this?
4 (6 ) 2(2 10)x x x
Addition Property of Equality.If a = b, then a + c = b + c
Subtraction Property of Equality.If a = b, then a – c = b – c
Multiplication Property of Equality. If a = b, then ac = bc
Division Property of Equality. If a = b, then a/c = b/c
Substitution Property of Equality. If a = b, then a can be substituted for b in any eq.
3( 7) 3 9 12x x x
Distributive Propertya(b + c) = ab + ac a(b – c) = ab – ac
Reflexive Propertya = a
Symmetric PropertyIf a = b, then b = a
Transitive PropertyIf a = b and b = c, then a = c.
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