Download 1 - Blue Valley Schools

Advanced Algebra
Name __________________________________
P.1 Notes: Real Numbers and Their Properties
Objective: In this lesson you learned how to represent and order real numbers and use
inequalities, and to evaluate algebraic expressions using the basic rules of algebra.
Create a Venn diagram using the following words:
Natural Numbers
Whole Numbers
Imaginary Numbers
Real Numbers
Integers
Rational Numbers
Inequalities
Draw the Four Inequality
Signs
How Would You Say
Each Sign?
Draw the Interval
Notation
There are more combinations of intervals you can write (using infinity and any
number or any 2 numbers). Can you find them all?
Verbal Description
Inequality
Notation
Interval
Notation
Number Line
Graph
Bounded or
Unbounded
x3
 3, 7 
2,
x is no less than 15
Absolute Value
a
x
Solve
x
if x > 0. Then solve
x
x
if x < 0.
Definitions
Variables
Constants
Terms
Operations
Algebraic Expressions
Identify the terms. Then identify the coefficients of the variable terms of the
expression.
x
4 x5  x 4  3x 2 
2
Basic Rules of Algebra

Additive Inverse Property:

Multiplicative Inverse Property:

Commutative Property:

Associative Property:

Distributive Property:

Additive Identity Property:

Multiplicative Identity Property:
Basic Rules Of Algebra: Fractions
Equivalent Fractions:
a c
 if and only if ______________
b d
Add or Subtract with Like Denominators:
a c
 
b b
Add or Subtract with Unlike Denominators:
Multiply Fractions:
a c

b d
Divide Fractions:
a c
 
b d

a c
 
b d

