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)

COURSE TOPICS:

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

Factoring

• 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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