mth219 | undergraduate
Introduction To College Algebra
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Linear Equations in Two Variables, Polynomials, and Introduction to Factoring Polynomials
- Factor trinomials when the leading coefficient is one.
- Factor polynomials using the greatest common factor.
- Factor polynomials by grouping.
- Perform arithmetic operations on polynomials.
- Graph linear equations in two variables.
- Determine the slope of a linear equation.
Factoring Polynomials and Rational Expressions
- Factor trinomials whose leading coefficient is not one.
- Multiply rational expressions.
- Factor special case polynomials.
- Simplify rational expressions.
- Use quadratic equations to solve application problems.
- Divide rational expressions.
Mathematical Models, Equations, and Inequalities
- Solve linear inequalities.
- Solve absolute value equations.
- 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.
Rational Expressions, Rational Equations and Functions
- 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.
- Perform mathematic operations on functions.
- Evaluate piecewise functions.
- Perform mathematic operations on radical functions.
- Determine function values from a graph.
Composite and Inverse Functions, Radical Expressions, and Radical 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.
- Solve equations containing radicals.
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