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?

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.

Distributive Property a(b + c) = ab + aca(b – c) = ab – ac Reflexive Property a = a Symmetric Property If a = b, then b = a Transitive Property If a = b and b = c, then a = c.