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Intermediate Algebra

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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  1. Intermediate Algebra A review of concepts and computational skills Chapters 1-3

  2. The Real Numbers • Sets and notation—union, 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 • Function—there is only one y for any value of x • Determine if a relation is a function: tables, mapping, vertical line test

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