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. | |
