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

• Simple Radical Form 
• Add, subtract, multiply, divide radical expressions 
• Solve radical 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