# Introduction To College Algebra – mth219 (3 credits)

This course introduces algebraic concepts providing a solid foundation for college algebra. Topics range from properties of real numbers, the order of operations, and algebraic expressions to solving equations and inequalities. Additional topics include polynomials, factoring methods, rational and radical expressions as well as graphing and functions.

This undergraduate-level course is 5 weeks. This course is available to take individually or as part of a degree or certificate program. To enroll, speak with an Enrollment Representative.

### Rational Expressions, Rational Equations and Functions

• Perform mathematic operations on functions.
• Evaluate piecewise functions.
• Perform mathematic operations on radical functions.
• Determine function values from a graph.
• Perform arithmetic operations on rational expressions.
• Use rational equations to solve application problems.
• Solve problems using variation.
• Compute function values.
• Determine the domain and range of a function.

### Mathematical Models, Equations, and Inequalities

• Solve a formula for a given variable.
• Perform arithmetic operations on algebraic expressions.
• Identify properties of real numbers.
• Perform arithmetic operations on real numbers.
• Evaluate numerical expressions using order of operations.
• Solve linear equations.
• Use mathematical models to solve application problems.
• Solve compound inequalities.

• Solve linear inequalities.
• Solve absolute value equations.

• Perform composition of functions.
• Determine the inverse of a function.
• Perform mathematical operations on expressions with rational exponents.
• Perform mathematical operations on radical expressions.

### Factoring Polynomials and Rational Expressions

• Factor special case polynomials.
• Simplify rational expressions.
• Use quadratic equations to solve application problems.
• Divide rational expressions.
• Factor trinomials whose leading coefficient is not one.
• Multiply rational expressions.

### Linear Equations in Two Variables, Polynomials, and Introduction to Factoring Polynomials

• Graph linear equations in two variables.
• Determine the slope of a linear equation.
• Factor trinomials when the leading coefficient is one.
• Factor polynomials using the greatest common factor.
• Factor polynomials by grouping.
• Perform arithmetic operations on polynomials.