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- How to factor the easy way so you don't waste hours of your free time

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**Math topics students send us**

**Chapter 1 Foundations of Algebra**

1.1 Number Sets and the Structure of Algebra

1.2 Fractions

1.3 Adding and Subtracting Real Numbers; Properties of Real Numbers

1.4 Multiplying and Dividing Real Numbers; Properties of Real Numbers

1.5 Exponents, Roots, and Order of Operations

1.6 Translating Word Phrases to Expressions

1.7 Evaluating and Rewriting Expressions

**Chapter 2 Solving Linear Equations and **

**Inequalities**

2.1 Equations, Formulas, and the Problem-Solving Process

2.2 The Addition Principle

2.3 The Multiplication Principle

2.4 Applying the Principles to Formulas

2.5 Translating Word Sentences to Equations

2.6 Solving Linear Inequalities

**Chapter 3 Problem Solving**

3.1 Ratios and Proportions

3.2 Percents

3.3 Problems with Two or More Unknowns

3.4 Rates

3.5 Investment and Mixture

**Chapter 4 Graphing Linear Equations and **

**Inequalities**

4.1 The Rectangular Coordinate System

4.2 Graphing Linear Equations

4.3 Graphing Using Intercepts

4.4 Slope-Intercept Form

4.5 Point-Slope Form

4.6 Graphing Linear Inequalities

4.7 Introduction to Functions and Function

Notation

**Chapter 5 Polynomials**

5.1 Exponents and Scientific Notation

5.2 Introduction to Polynomials

5.3 Adding and Subtracting Polynomials

5.4 Exponent Rules and Multiplying

Monomials

5.5 Multiplying Polynomials; Special Products

5.6 Exponent Rules and Dividing Polynomials

**Chapter 6 Factoring**

6.1 Greatest Common Factor and Factoring by

Grouping

6.2 Factoring Trinomials of the Form

*x*^{2} + *bx* + *c*

6.3 Factoring Trinomials of the Form

*ax*^{2} + *bx* + *c*, where *a ≠ *1

6.4 Factoring Special Products

6.5 Strategies for Factoring

6.6 Solving Quadratic Equations by Factoring

6.7 Graphs of Quadratic Equations and

Functions

**Chapter 7 Rational Expressions and **

**Equations**

7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational

Expressions

7.3 Adding and Subtracting Rational

Expressions with the Same Denominator

7.4 Adding and Subtracting Rational

Expressions with Different Denominators

7.5 Complex Rational Expressions

7.6 Solving Equations Containing Rational

Expressions

7.7 Applications with Rational Expressions

**Chapter 8 More on Inequalities, Absolute **

**Value and Functions**

8.1 Compound Inequalities

8.2 Equations Involving Absolute Value

8.3 Inequalities Involving Absolute Value

8.4 Functions and Graphing

8.5 Function Operations

**Chapter 9 Systems of Equations**

9.1 Solving Systems of Linear Equations

Graphically

9.2 Solving Systems of Linear Equations by

Substitution

9.3 Solving Systems of Linear Equations by

Elimination

9.4 Solving Systems of Linear Equations in

Three Variables

9.5 Solving Systems of Linear Equations

Using Matrices

9.6 Solving Systems of Linear Equations

Using Cramer’s Rule

9.7 Solving Systems of Linear Inequalities

**Chapter 10 Rational Exponents, Radicals, **

**and Complex Numbers**

10.1 Radical Expressions and Functions

10.2 Rational Exponents

10.3 Multiplying, Dividing, and Simplifying

Radicals

10.4 Adding, Subtracting, and Multiplying

Radical Expressions

10.5 Rationalizing Numerators and

Denominators of Radical Expressions

10.6 Radical Equations and Problem Solving

10.7 Complex Numbers

**Chapter 11 Quadratic Equations**

11.1 Completing the Square

11.2 Solving Quadratic Equations Using the

Quadratic Formula

11.3 Solving Equations That Are Quadratic in

Form

11.4 Graphing Quadratic Functions

11.5 Solving Nonlinear Inequalities

**Chapter 12 Exponential and Logarithmic **

**Functions**

12.1 Composite and Inverse Functions

12.2 Exponential Functions

12.3 Logarithmic Functions

12.4 Properties of Logarithms

12.5 Common and Natural Logarithms

12.6 Exponential and Logarithmic Equations

with Applications

**Chapter 13 Conic Sections**

13.1 The Parabola and the Circle

13.2 Ellipses and Hyperbolas

13.3 Nonlinear Systems of Equations

13.4 Nonlinear Inequalities and Systems of

Inequalities