The Real Number System and Geometry | |

Review of Fractions | |

Exponents and Order of Operations | |

Geometry Review | |

Sets of Numbers and Absolute Value | |

Addition and Subtraction of Real Numbers | |

Multiplication and Division of Real Numbers | |

Algebraic Expressions and Properties of Real Numbers Chapter 1 Summary Chapter 1 Review Chapter 1 Test 2 Variables and Exponents | |

Simplifying Expressions | |

a) The Product Rule and Power Rules for Exponents b) Combining the Rules | |

a) Integer Exponents With Real-Number Bases | |

b) Integer Exponents With Variable Bases | |

The Quotient Rule SUMMARY EXERCISES: Putting All the Rules Together | |

Scientific Notation Chapter | |

Summary Chapter 2 Review Chapter 2 Test Cumulative Review – Ch. 1 & 2 3 Linear Equations and Inequalities | |

Solving Linear Equations – | |

3.2 Solving Linear Equations – | |

SUMMARY EXERCISES | |

Applications of Linear Equations to General Problems, Consecutive Integers, and Fixed and Variable Cost | |

Applications of Linear Equations to Percent Increase/Decrease and Investment Problems | |

Geometry Applications and Solving Formulas for a Specific Variable | |

Applications of Linear Equations to Proportions, d=rt, and Mixture Problems | |

Solving Linear Inequalities in One Variable | |

Solving Compound Inequalities Chapter 3 Summary Chapter 3 Review Chapter 3 Test Cumulative Review – Ch. 1 – 3 | |

Linear Equations in Two Variables | |

Introduction to Linear Equations in Two Variables | |

Graphing by Plotting Points and Finding Intercepts | |

The Slope of a Line | |

The Slope-Intercept Form of a Line | |

Writing an Equation of a Line | |

Parallel and Perpendicular Lines Chapter 4 Summary Chapter 4 Review Chapter 4 Test Cumulative Review – Ch. 1 – 4 | |

Solving Systems of Linear Equations | |

Solving Systems by Graphing | |

Solving Systems by Substitution | |

Solving Systems by the Addition Method Summary Exercises | |

Applications of Systems of Two Equations Chapter 5 Summary Chapter 5 Review Chapter 5 Test Cumulative Review – Ch. 1 – 5 | |

Polynomials | |

Review of Rules of Exponents | |

Addition and Subtraction of Polynomials | |

Multiplication of Polynomials SUMMARY EXERCISES | |

Division of Polynomials Chapter 6 Summary Chapter 6 Review Chapter 6 Test Cumulative Review – Ch. 1 – 6 | |

Factoring Polynomials | |

The Greatest Common Factor and Factoring by Grouping | |

Factoring Trinomials of the Form x2 + bx + c | |

Factoring Trinomials of the Form ax2 + bx + c (x ¿ 1) | |

Factoring Binomials and Perfect Square Trinomials SUMMARY EXERCISES | |

Solving Quadratic Equations by Factoring | |

Applications of Quadratic Equations Chapter 7 Summary Chapter 7 Review Chapter 7 Test Cumulative Review – Ch. 1 – 7 | |

Rational Expressions | |

Simplifying Rational Expressions | |

Multiplying and Dividing Rational Expressions | |

Finding the Least Common Denominator | |

Adding and Subtracting Rational Expressions SUMMARY EXERCISES | |

Simplifying Complex Fractions | |

Solving Equations Containing Rational Expressions SUMMARY EXERCISES | |

Applications Chapter 8 Summary Chapter 8 Review Chapter 8 Test Cumulative Review – Ch. 1 – 8 | |

Absolute Value Equations and Inequalities and More on Solving Systems | |

Solving Absolute Value Equations | |

Solving Absolute Value Inequalities | |

Linear Inequalities in Two Variables | |

Systems of Linear Equations in Three Variables | |

Solving Systems Using Gaussian Reduction Chapter 9 Summary Chapter 9 Review Chapter 9 Test Cumulative Review – Ch. 1 – 9 | |

Radicals and Rational Exponents | |

Finding Roots | |

Rational Exponents | |

Simplifying Expressions Containing Square Roots | |

Simplifying Expressions Containing Higher Roots | |

Adding and Subtracting Radicals | |

Combining Multiplication, Addition, and Subtraction of Radicals | |

Dividing Radicals | |

Solving Radical Equations Chapter 10 Summary Chapter 10 Review Chapter 10 Test Cumulative Review – Ch. 1 – 10 | |

Quadratic Equations | |

Review of Solving Equations by Factoring | |

Solving Quadratic Equations Using the Square Root Property | |

Complex Numbers | |

Solving Quadratic Equations by Completing the Square | |

Solving Quadratic Equations Using the Quadratic Formula SUMMARY EXERCISES | |

Equations in Quadratic Form | |

Formulas and Applications Chapter 11 Summary Chapter 11 Review Chapter 11 Test Cumulative Review Ch. 1 – 11 | |

Functions and their Graphs | |

Relations and Functions | |

Function Notation and Linear Functions | |

Graphs of Other Functions | |

Transformations of Graphs | |

Quadratic Functions and their Graphs | |

Applications of Quadratic Functions and Graphing Other Parabolas Summary Exercises | |

The Algebra of Functions | |

Variation Chapter 12 Summary Chapter 12 Review Chapter 12 Test Cumulative Review – Ch. 1 – 12 | |

Inverse, Exponential, and Logarithmic Functions | |

Inverse Functions | |

Exponential Functions | |

Logarithmic Functions Summary Exercises | |

Properties of Logarithms | |

Common and Natural Logarithms and Change of Base | |

Solving Exponential and Logarithmic Equations Chapter 13 Summary Chapter 13 Review Chapter 13 Test Cumulative Review – Ch. 1 – 13 | |

Conic Sections, Nonlinear Inequalities, and Nonlinear Systems | |

Review of Parabolas | |

The Circle | |

The Ellipse and the Hyperbola SUMMARY EXERCISES | |

Nonlinear Systems of Equations | |

Quadratic and Rational Inequalities | |

Second – Degree Inequalities and Systems of Inequalities Chapter 14 Summary Chapter 14 Review Chapter 14 Test Cumulative Review – Ch. 1 – 14 | |

Sequences and Series | |

Sequences and Series | |

Arithmetic Sequences and Series | |

Geometric Sequences and Series | |

The Binomial Theorem Chapter 15 Summary Chapter 15 Review Chapter 15 Test Cumulative Review – Ch. 1 – 15 | |

Appendixes | |

Beginning Algebra Review | |

Synthetic Division | |

Determinants and Cramer’s Rule | |

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