An Introduction to Algebra | |
The Language of Algebra | |
Fractions | |
The Real Numbers | |
Adding Real Numbers | |
Subtracting Real Numbers | |
Multiplying and Dividing Real Numbers | |
Exponents and Order of Operations | |
Algebraic Expressions | |
Accent on Teamwork | |
Key Concept | |
Chapter Review | |
Chapter Test | |
Equations, Inequalities, and Problem Solving | |
Solving Equations | |
Problem Solving | |
Simplifying Algebraic Expressions | |
More about Solving Equations | |
Formulas | |
More about Problem Solving | |
Solving Inequalities | |
Accent on Teamwork | |
Key Concept | |
Chapter Review | |
Chapter Test | |
Cumulative Review Exercises | |
Linear Equations and Inequalities in two Variables | |
Graphing Using the Rectangular Coordinate System | |
Graphing Linear Equations | |
More about Graphing Linear Equations | |
The Slope of a Line | |
Slope? | |
Intercept Form | |
Point? | |
Slope Form | |
Graphing Linear Inequalities | |
Accent on Teamwork | |
Key Concept | |
Chapter Review | |
Chapter Test | |
Exponents and Polynomials | |
Rules for Exponents | |
Zero and Negative Exponents | |
Scientific Notation | |
Polynomials | |
Adding and Subtracting Polynomials | |
Multiplying Polynomials | |
Special Products | |
Division of Polynomials | |
Accent on Teamwork | |
Key Concept | |
Chapter Review | |
Chapter Test | |
Cumulative Review Exercises | |
Factoring and Quadratic Equations | |
The Greatest Common Factor | |
Factoring by Grouping | |
Factoring Trinomials of the Form x^2+bx+c | |
Factoring Trinomials of the form ax^2+bx+c | |
Factoring Perfect Square Trinomials and the Differences of Two Squares | |
Factoring the Sum and Difference of Two Cubes | |
A Factoring Strategy | |
Solving Quadratic Equations by Factoring | |
Accent on Teamwork | |
Key Concept | |
Chapter Review | |
Chapter Test | |
Rational Expressions and Equations | |
Simplifying Rational Expressions | |
Multiplying and Dividing Rational Expressions | |
Addition and Subtraction with Like Denominators | |
Least Common Denominators | |
Simplifying Complex Fractions | |
Solving Rational Equations | |
Problem Solving Using Rational Equations | |
Proportions and Similar Triangles | |
Accent on Teamwork | |
Key Concept | |
Chapter Review | |
Chapter Test | |
Cumulative Review Exercises | |
Solving Systems of Equations and Inequalitites | |
Solving Systems of Equations by Graphing | |
Solving Systems of Equations by Substitution | |
Solving Systems of Equations by Elimination | |
Problem Solving Using Systems of Equations | |
Solving Systems of Linear Inequalities | |
Accent on Teamwork | |
Key Concept | |
Chapter Review | |
Chapter Test | |
More Equations, Inequalities, and Factoring | |
Review of Equations and Inequalities | |
Solving Absolute Value Equations and Inequalities | |
A Review of Factoring | |
Review of Rational Expressions | |
Review of Graphing and Introduction to Functions | |
Graphing Other Functions | |
Variation | |
Synthetic Division | |
Accent on Teamwork | |
Key Concept | |
Chapter Review | |
Chapter Test | |
Cumulative Review Exercises | |
Radicals and Rational Exponents | |
Radical Expressions and Radical Functions | |
Rational Exponents | |
Simplifying and Combining Radical Expressions | |
Multiplying and Dividing Radical Expressions | |
Radical Equations | |
Geometric Applications of Radicals | |
Complex Numbers | |
Accent on Teamwork | |
Key Concept | |
Chapter Review | |
Chapter Test | |
Quadratic Equations, Functions, and Inequalities | |
Completing the Square | |
The Quadratic Formula | |
The Discriminant and Equations That Can Be Written in Quadratic Form | |
Quadratic Functions and Their Graphs | |
Quadratic and Other Nonlinear Inequalities | |
Accent on Teamwork | |
Key Concept | |
Chapter Review | |
Chapter Test | |
Cumulative Review Exercises | |
Exponential and Logarithmic Functions | |
Algebra and Composition of Functions | |
Inverses of Functions | |
Exponential Functions | |
Base-E Exponential Functions | |
Logarithmic Functions | |
Base-E Logarithms | |
Properties of Logarithms | |
Exponential and Logarithmic Equations | |
Accent on Teamwork | |
Key Concept | |
Chapter Review | |
Chapter Test | |
More on Systems of Equations | |
Solving Systems with Two Variables | |
Solving Systems with Three Variables | |
Solving Systems Using Matrices | |
Solving Systems Using Determinants | |
Accent on Teamwork | |
Key Concep | |
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