MathematicsPreCalculus Mathematics at Nebraska

Numbers and Operations

• Integers, Prime Factorization, and Greatest Common Factor and Least Common Multiple
• Fractions, Simplest Form, and Operations on Fractions
• Order of Operations, Percents, and Radicals

Algebraic Expressions

• Definitions, Distributive Property, and Simplifying and Evaluating

Exponents

• Definition, Derivations, and Rules

Linear Equations

• What is an Equation and a Solution, and How to Solve Linear Equations
• Number of Solutions and Multiple Variables

Linear Inequalities

• What is an Inequality and How to Solve a Linear Inequality, Notation and Graphs

Applications of Linear Equations

• Translate Verbal Descriptions into Equations, A Few Examples

Relations,Tables, and Graphs

• The Different Ways to View a Relation

Graphs of Linear Equations

• How to Plot Linear Equations and its Parts

The Slope of a Line

• What is the Slope of a Line, Its Formula, and Its Meaning

Forms of a Line

• Slope-Intercept and Point-Slope

Modeling Linear Equations

• Parallel vs Perpendicular vs Neither

Systems of Linear Equations

• What is a System of Linear Equations, Number of Solutions, and Solving by Graphing
• Solving by Substitution
• Solving by Elimination

Applications of Systems of Linear Equations

• Examples

Introduction to Functions

• Definitions, Representations, Vertical Line Test, and Notations

Algebra of Polynomials

• What is a Polynomial, How to Evaluate Polynomials, and Operations on Polynomials

Factoring Polynomials

• What is a Factor of a Polynomial, the Greatest Common Factor of Monomials, Factoring by Grouping, and Factoring the Difference of Squares

Factoring Trinomials Using the ac-method

• What is the ac-Method

Solving Polynomial Equations by Factoring

• Review of Factoring, the Zero Factor Principle, and Roots of a Polynomial

Algebraic Fractions

• Simplifying Algebraic Fractions, Restrictions and Domain, and Operations on Algebraic Fractions