Answer Ace Pea - Algebra

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Topics Covered

Chapter 1   The Real Numbers                                                   

1.1       Adding & Subtracting Real Numbers   

1.2       Multiplying & Dividing Real Numbers

1.3       Exponents & Order of Operations       

1.4       Primes, the GCF, & the LCM  

1.5       Operations with Fractions

1.6       Properties of Real Numbers     

Chapter 2   Linear Equations & Inequalities

2.1       Simplifying & Evaluating Expressions                                        

2.2       Solving Linear Equations

2.3       Formulas

2.4       Ratio & Proportion

2.5       Percent                                    

2.6       Applications of Equations                                                                                             

2.7       Linear Inequalities                                                        

Chapter 3   Graphing Equations & Inequalitites

3.1       Graphing Ordered Pairs                       

3.2       Graphing Linear Equations in Two Variables                                        

3.3       Slope & Intercepts

3.4       The Equation of a Line 

3.5       Linear Inequalities in Two Variables                 

Chapter 4 Systems of Equations

4.1       Solving Linear Systems by Graphing     

4.2       The Addition Method                                      

4.3       The Substitution Method                                              

4.4       Applications    

4.5       Determinants and Cramer’s Rule          

CHAPTER 5   Exponents & Polynomials

5.1       Multiplication with Exponents                           

5.2       Negative Exponents & Division with Exponents                                    

5.3       Operations with Monomials & Scientific Notation                                             

5.4       Adding and Subtracting Polynomials                 

5.5       Multiplying Polynomials                                                            

5.6       Dividing Polynomials & Synthetic Division

Chapter 6 Functions  

6.1       Introduction to Functions                                             

6.2       Function Notation & Difference Quotients                                                        

6.3       Operations & Composition of Functions

Chapter 7 Factoring

7.1       The GCF and Factoring by Grouping   

7.2       Factoring Trinomials                               

7.3       Factoring Diff. of Two Squares & Perfect Squares

7.4       Factoring the Sum & Difference of Two Cubes                                                            

7.5       Solving Quadratic Equations by Factoring                                            

7.6       Applications                                                                            

Chapter 8   Rational Expressions

8.1       Reducing Rational Expressions 

8.2       Multiplying & Dividing Rational Expressions     

8.3       LCD; Adding & Subracting Rational Expressions         

8.4       Equations Involving Rational Expressions                      

8.5       Applications                                                                

8.6       Complex Fractions                                                      

Chapter 9  More Equations and Inequalities                                                                         

9.1       Equations with Absolute Value                         

9.2       Interval Notation and Compound Inequalities   

9.3       Inequalities Involving Absolute Value                

9.4       Systems of Equations in Three Variables                      

9.5       Systems of Linear Inequalities  

9.6       Variation         

Chapter 10  Radicals & Radical Equations                               

10.1     Radicals & Rational Exponents                                                            

10.2     Simplified Form for Radicals                                        

10.3     Adding & Subtracting Radical Expressions       

10.4     Multiplying and Dividing Radical Expressions    

10.5     Equations with Radicals                                               

10.6     Complex Numbers                                                      

Chapter 11  Quadratic Equations & Functions                        

11.1     Completing the Square                                     

11.2     The Quadratic Formula                                    

11.3     The Discriminant and Equations Quadratic in Form                                           

11.4     Graphing Parabolas                                                     

11.5     Quadratic & Rational Inequalities                                                         

Chapter 12  Exponential & Logarithmic Functions

12.1     Exponential Functions                                      

12.2     The Inverse of a Function                                             

12.3     Introduction to Logarithms                                           

12.4     Properties of Logs & Log Equations                                        

12.5     Common and Natural Logarithms         

12.6     Exponential Equations &Change of Base          

Chapter 13  Sequences & Series

13.1     Sequences

13.2     Series

13.3     Arithmetic Sequences

13.4     Geometric Sequences

13.5     The Binomial Expansion

Chapter 14  Conic Sections & Nonlinear Systems                                                        

14.1     The Circle                                                                   

14.2     Ellipses and Hyperbolas                                               

14.3     Second-Degree Inequalities  & Nonlinear Systems

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