Algebra Math Book - Introductory Algebra

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The power of mathematics rests in the logic of thinking.

Algebra Math Book - Introductory Algebra - Index of Sections

Chapter 1 -  Mathematics as a Living Experience

Sec1.1 Section 1.1-Numbers and Algebra
Sec1.2 Section 1.2-Integers
Sec1.3 Section 1.3-Adding and Subtracting Integers
Sec1.4 Section 1.4-Multiplying and Dividing Integers
Sec1.5 Section 1.5-Prime Factorization and the Greatest Common Factor
Sec1.6 Section 1.6-Rational Numbers-Decimals and Percents
Sec1.7 Section 1.7-Operations with Fractions
Sec1.8 Section1.8-Commutative and Associative Properties
Sec1.9 Section1.9-Operations Involving 0 and 1
Sec1.10 Section1.10-Applications

Chapter 2 - Evaluating and Simplifying Algebraic Expressions

Sec2.1 Section2.1-Order of Operations and Grouping Symbols
Sec2.2 Section2.2-Evaluating Algebraic Expressions-Applications to Geometry
Sec2.3 Section2.3-Positive Exponents
Sec2.4 Section2.4-Using the Distributive Property
Sec2.5 Section2.5-Simplifying Algebraic Expressions

Chapter 3 - Solving Equations and Inequalities

Sec3.1 Section3.1-Solving Using the Addition Principle and Multiplication Principle
Sec3.2 Section3.2-Combining the Principles to Solve Equations
Sec3.3 Section3.3-Solving Equations Containing Parentheses
Sec3.4 Section3.4-Solving Word Problems
Sec3.5 Section3.5-Applied Problems
Sec3.6 Section3.6-Formulas
Sec3.7 Section3.7-Solving Inequalities Using the Addition Principle
Sec3.8 Section3.8-Solving Inequalities Using the Multiplication Principle

Chapter 4 - Exponents and Polynomials

Sec4.1 Section4.1-Positive Integral Exponents
Sec4.2 Section4.2-Polynomials
Sec4.3 Section4.3-Addition of Polynomials
Sec4.4 Section4.4-Subtraction of Polynomials
Sec4.5 Section4.5-Multiplicaton of Polynomials
Sec4.6 Section4.6-Division of Polynomials
Sec4.7 Section4.7-Negative and Zero Exponents

Chapter 5 - Factoring

Sec5.1 Section5.1-Factoring Polynomials
Sec5.2 Section5.2-Difference of Squares and Perfect Square Trinomials
Sec5.3 Section5.3-Factoring Trinomials of the Type…
Sec5.4 Section5.4-Factoring Trinomials of the Type…
Sec5.5 Section5.5-A Strategy for Factoring Completely
Sec5.6 Section5.6-Solving Equations by Factoring
Sec5.7 Section5.7-Applications
Sec5.8 Section5.8-Factoring the Sum and Difference of Two Cubes

Chapter 6 - Fractional Expressions

Sec6.1 Section6.1-Algebraic Fractions
Sec6.2 Section6.2-Multiplication
Sec6.3 Section6.3-Division
Sec6.4 Section6.4-Sum and Difference of Like Fractions
Sec6.5 Section6.5-Greatest Common Factors and Least Common Multiples
Sec6.6 Section6.6-Sum and Difference of Unlink Fractions
Sec6.7 Section6.7-Complex Fractions
Sec6.8 Section6.8-Fractional Equations
Sec6.9 Section6.9-Literal Equations

Chapter 7 - Graphing

Sec7.1 Section7.1-Cartesian Coordinate System
Sec7.2 Section7.2-Graphing Straight Lines
Sec7.3 Section7.3-Slope
Sec7.4 Section7.4-Equations of Straight Lines
Sec7.5 Section7.5-Graphing Inequalities in Two Variables

Chapter 8 - Systems of Equations

Sec8.1 Section8.1-Systems of Linear Equations
Sec8.2 Section8.2-Solution by Substitution
Sec8.3 Section8.3-Solution by Elimination
Sec8.4 Section8.4-Solving Problems
Sec8.5 Section8.5-Further Applications

Chapter 9 - Radicals

Sec9.1 Section9.1-Square Roots
Sec9.2 Section9.2-Multiplication
Sec9.3 Section9.3-Division
Sec9.4 Section9.4-Addition and Subtraction
Sec9.5 Section9.5-Pythagorean Theorem
Sec9.6 Section9.6-Radical Equations

Chapter 10 - Quadratic Equations

Sec10.1 Section10.1-General Form of a Quadratic Equation
Sec10.2 Section10.2-Solving Quadratic Equations by Factoring
Sec10.3 Section10.3-Completing the Square
Sec10.4 Section10.4-Quadratic Formula
Sec10.5 Section10.5-Applied Problems

Mathematics should be a requirement in every educational program.

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