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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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