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## Algebra I Course Outline

Algebra is a gateway to all higher mathematics. Students will learnthe skills and concepts that will help them think logically, problem-solve, recognize relationships and patterns, and represent verbal situations as equations.

Chapter 1: Basic Concepts of Algebra

• Identify, classify, graph, compare real numbers
• Absolute Values
• Add, subtract, multiply, divide signed numbers
• Powers and Exponents
• Order of Operations
• Scientific Notation
• Evaluate algebraic expressions

Chapter 2: Linear Equations

• Solve and check
• Distributive Property
• Absolute Value Equations
• Formulas and Literal Equations

Chapter 3: Linear Inequalities

• Write, graph, solve inequalities
• Compound Inequalities
• Inequalities involving absolute value expressions

Chapter 4: Relations and Functions

• Represent relations
• Relations and Functions
• Domain and Range
• Function Notation
• Vertical Line Test

Chapter 5: Linear Functions

• Linear functions and their graphs
• Slope
• Direct Variation
• Slope-Intercept Form
• Parallel and Perpendicular Lines
• Linear inequality in Two Variables

Chapter 6: Systems of Linear Equations and Inequalities

• Graph systems of linear equations
• Solve systems of linear equations by substitution and elimination
• Equivalent Systems of Linear Equations
• Applications
• Graph and solve systems of linear inequalities in two variables

Chapter 7: Operations with Polynomials

• identify and classify polynomials
• Standard Form
• Add, subtract, multiply, divide polynomials
• Binomial Multiplication
• Polynomial Long Division

Chapter 8: Factoring Polynomials

• GCMF
• Square a binomial
• Factor quadratic trinomials (leading coefficient 1, leading coefficient other than 1, perfect-square trinomial, difference of two squares, factor by grouping)
• Factor completely

Chapter 9: Radical Expressions and Equations

Chapter 10: Quadratic Functions and Equations

• Quadratic functions and their graphs (direction of opening, vertex, axis of symmetry, intercepts, maximum/minimum, domain & range)
• Solve quadratic equations (by factoring, completing the square, using the QF)
• Discriminant
• Verbal problems involving quadratic equations

Chapter 12: Rational Expressions and Equations

• Excluded Values
• Simplify, multiply, divide rational expressions
• Combine rational expressions with like & unlike denominators
• Solve rational equations