24 terms

Chapter 1 Test (Lantrip)

This is the first chapter of Algebra 2 with Trigonometry Houghton Mifflin Text Book. This set of flash cards is composed of the axioms which the book indicates in red
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a+b is a unique real number
(a+b) + c = a + (b+c)
a+b = b+a
a+0=a
a + (-a) = 1
ab is a unique real number
Closure Axiom for Multiplication
(ab)c = a(bc)
Associative Axiom for Multiplication
ab = ba
Commutative Axiom for Multiplication
a * 1 = a
Identity Axiom for Multiplication
b/a * a/b = 1
Axiom for Multiplicative Inverses
a(b+c) = ab + ac
Distributive Axiom for Multiplication with Respect to Addition
if a=b then a+c = b+c
Substitution Principle for Equality
a=a
Reflexive Property for Equality
if a=b then b=a
Symmetric Property for Equality
if a = b and b =c then a = c
Transitive Property for Equality
if a+c = b +c then a=b
-(a+b) = (-a) + (-b)
Property for the Opposite for a Sum
-(-a) = a