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
