Intermediate Algebra

1
Intermediate Algebra

• A review of concepts and computational skills
• Chapters 1-3

2
The Real Numbers

• Sets and notationunion, intersection, subset
• Natural, Whole, Integers, Rational, Irrational
• Graphing reals on a number line
• Interval notation

3
Properties of Real Numbers and Evaluating

• Commutative, Associative, Distributive
• Inverse, Identity
• Using properties to evaluate, simplify expressions

4
Linear Equations

• Addition/subtraction property of equality
• Multiplication/division property of equality
• Solving linear equations in one variable
• Formulas and applications

5
Linear Inequalities

• Interval notation for inequalities
• Graphing on a number line
• Solving inequalities
• Compound inequalities
• Absolute Value equations and inequalities

6
Linear Equations in Two Variables

• Graphing points and lines using ordered pairs
• Midpoint and Distance Formulas
• x- and y-intercepts
• Horizontal and vertical lines
• Slope of a line
• Parallel and perpendicular lines

7
More Linear Equations

• Slope-Intercept form
• Standard form
• Point-slope form
• Use the 3 forms of a linear equation to graph
• Write an equation given 2 points
• Write an equation given point and slope

8
Linear Inequalities

• Graph lines of inequalities choose test points
  to shade solution set
• Systems of linear inequalities and their graphs

9
Functions and Relations

• Functionthere is only one y for any value of x
• Determine if a relation is a function tables,
  mapping, vertical line test