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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

Intermediate Algebra

A review of concepts and computational skills

Chapters 1-3

the real numbers
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
Properties of Real Numbers and Evaluating
  • Commutative, Associative, Distributive
  • Inverse, Identity
  • Using properties to evaluate, simplify expressions
linear equations
Linear Equations
  • Addition/subtraction property of equality
  • Multiplication/division property of equality
  • Solving linear equations in one variable
  • Formulas and applications
linear inequalities
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
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
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 inequalities8
Linear Inequalities
  • Graph lines of inequalities; choose test points to shade solution set
  • Systems of linear inequalities and their graphs
functions and relations
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