Thursday, December 27, 2012

Elementary Algebra Course Outline

Below you will find the topics for Elementary Algebra as published by College of the Sequoias in their course outline:

Elementary Algebra (Algebra 1)

Numbers and Sets

  • Set or interval notation
  • The number line
  • Arithmetic and algebraic operations of basic math symbols
  • Order of operations
  • Simplifying algebraic expressions

Solving Linear Equations and Inequalities
  • Solving linear equations
  • Evaluating and solving formulas
  • Solving single variable word problems
  • Solving linear inequalities

Graphing Linear Equations
  • Graphing linear equations
  • Slope and intercepts
  • Find equations of lines
  • Parallel and perpendicular lines
  • Graphing linear inequalities in two variables

Systems of Linear Equations & Problem Solving
  • Solving by graphing, substitution, and addition methods
  • Solving applications
  • Graphing systems of linear inequalities

Exponents and Polynomials
  • Rules of exponents
  • Negative exponents
  • Scientific notation
  • Addition, subtraction, multiplication, and division of polynomials

  • Greatest common factor
  • Trinomials
  • Difference of squares
  • Difference and sum of cubes
  • Factoring by grouping
  • Solving polynomial equations by factoring including applications

Operations and Rational Expressions
  • Simplification of rational expressions
  • Addition, subtraction, multiplication, and division of rational expressions
  • Complex rational expressions
  • Solving rational equations with applications
  • Solving rational literal equations for a given variable

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