**Elementary Algebra (Algebra 1)**

**COURSE TOPICS:**

Numbers and Sets

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

Graphing Linear Equations

Systems of Linear Equations & Problem Solving

Exponents and Polynomials

Factoring

Operations and Rational 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