Basic Review

Chapter R: Review of Operations on the Set of Real Numbers

R1

Structure of the Set of Real Numbers

the set of real numbers; set-builder and interval notation; absolute value

Real Numbers

Identifying Sets of Real Numbers

Determine Expressions that are NOT Real

Determine  Rational or Irrational Numbers (Square Roots and Decimals Only)

Real Number Basics

R2 Number Line and Interval Notation
R3 Properties and Order of Operations on Real Numbers Properties of Real Numbers

Identify the Commutative, Associate, and Distributive Properties of Real Numbers

Use the Commutative and  Associate Properties of Real Numbers

Identify Addition Properties of Real Numbers

Identify Multiplication Properties of Real Numbers

Determine the Additive Inverses

Determine the Multiplicative Inverse

Properties of Real Numbers: Mixed Review

Review Properties of Real Numbers While Simplifying Expressions

ID Real Number Properties: Distributive and Associative

ID Real Number Properties: Distributive and Commutative

Review Properties of Real Numbers While Simplifying Expressions

Order of Operations  (L1.1)

Order of Operations with Whole Numbers

Order of Operations

Order of Operations (Whole Numbers): a(b+c)^2, a/b+(c-d)^2

Order of Operations (Whole Numbers): a(b+c(d*e-f))

Order of Operations (Whole Numbers): a(b*c-d)+e(f*g-h)

Evaluate a^m + b^n and (a+b)^m

Write Equivalent Numerical Expressions

Simplify Basic Expressions in Fraction Form

Ex 1: Simplify an Expression in Fraction form (Order of Operations)

Ex 2: Simplify an Expression in Fraction form (Order of Operations)

Ex 3: Simplify an Expression in Fraction form (Order of Operations)

Order of Operations: Evaluate 4+6-(3*7^2)-5

Simplifying Algebraic Expressions