Honors Algebra 1 Unit 1 Real numbers and Matricies summary

Algebra 1 unit 1 review

Symbols Order of Operations




Number Classifications




counting




Properties of Real Numbers a,b,c ϵ Reals

Closure an operation is “closed” if the result of performing the operation on 2 or more elements of a set results in
an element of the same set.

Commutative: order changes
Commutative prop of addition a+b=b+a Commutative prop of multiplication ab=ba, abc=acb=bac

Associative: group changes
Associative prop of addition (a+b)+c=a+(b+c) Associative prop of multiplication abc=a(bc)

Identity: end with what you started with
Identity of addition a+0=a Identity of multiplication a(1)=a

Inverse: end with the identity
Inverse of addition a+(-a)=0 inverse of multiplication a(1/a)=1

Distributive Property of Multiplication over addition: a(b+c)=a(b)+a(c)


Reflexive Property of Equality: a=a

Symmetric Property of Equality: if a=b, then b=a

Transitive Property of Equality: If a=b and b=c, then a=c

Substitution Property: if a=b, then a may be replaced by b in any expression

, Algebra 1 unit 1 review




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