Intermediate Algebra

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# Intermediate Algebra - PowerPoint PPT Presentation

Intermediate Algebra. A review of concepts and computational skills Chapters 1-3. The Real Numbers. Sets and notation—union, intersection, subset Natural, Whole, Integers, Rational, Irrational Graphing reals on a number line Interval notation. Properties of Real Numbers and Evaluating.

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## Intermediate Algebra

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Presentation Transcript

### Intermediate Algebra

A review of concepts and computational skills

Chapters 1-3

The Real Numbers
• Sets and notation—union, intersection, subset
• Natural, Whole, Integers, Rational, Irrational
• Graphing reals on a number line
• Interval notation
Properties of Real Numbers and Evaluating
• Commutative, Associative, Distributive
• Inverse, Identity
• Using properties to evaluate, simplify expressions
Linear Equations
• Addition/subtraction property of equality
• Multiplication/division property of equality
• Solving linear equations in one variable
• Formulas and applications
Linear Inequalities
• Interval notation for inequalities
• Graphing on a number line
• Solving inequalities
• Compound inequalities
• Absolute Value equations and inequalities
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
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
Linear Inequalities
• Graph lines of inequalities; choose test points to shade solution set
• Systems of linear inequalities and their graphs
Functions and Relations
• Function—there is only one y for any value of x
• Determine if a relation is a function: tables, mapping, vertical line test