Beginning Algebra

<p><strong>1. Review of Real Numbers</strong></p> <p>1.1 Study Skill Tips for Success in Mathematics</p> <p>1.2 Symbols and Sets of Numbers</p> <p>1.3 Fractions and Mixed Numbers</p> <p>1.4 Exponents, Order of Operations, Variable Expressions, and Equations</p> <p>1.5 Adding Real Numbers</p> <p>1.6 Subtracting Real Numbers</p> <p>Integrated Review–Operations on Real Numbers</p> <p>1.7 Multiplying and Dividing Real Numbers</p> <p>1.8 Properties of Real Numbers</p> <p><strong>2. Equations, Inequalities, and Problem Solving</strong></p> <p>2.1 Simplifying Algebraic Expressions</p> <p>2.2 The Addition Property of Equality</p> <p>2.3 The Multiplication Property of Equality</p> <p>2.4 Solving Linear Equations</p> <p>Integrated Review–Solving Linear Equations</p> <p>2.5 An Introduction to Problem Solving</p> <p>2.6 Formulas and Problem Solving</p> <p>2.7 Percent and Mixture Problem Solving</p> <p>2.8 Further Problem Solving</p> <p>2.9 Solving Linear Inequalities</p> <p><strong>3. Graphing</strong></p> <p>3.1 Reading Graphs and the Rectangular Coordinate System</p> <p>3.2 Graphing Linear Equations</p> <p>3.3 Intercepts</p> <p>3.4 Slope and Rate of Change</p> <p>Integrated Review–Summary on Slope and Graphing Linear Equations</p> <p>3.5 Equations of Lines</p> <p>3.6 Functions</p> <p><strong>4. Solving Systems of Linear Equations and Inequalities</strong></p> <p>4.1 Solving Systems of Linear Equations by Graphing</p> <p>4.2 Solving Systems of Linear Equations by Substitution</p> <p>4.3 Solving Systems of Linear Equations by Addition</p> <p>Integrated Review–Solving Systems of Equations</p> <p>4.4 Systems of Linear Equations and Problem Solving</p> <p>4.5 Graphing Linear Inequalities</p> <p>4.6 Systems of Linear Inequalities</p> <p><strong>5. Exponents and Polynomials </strong></p> <p>5.1 Exponents</p> <p>5.2 Adding and Subtracting Polynomials</p> <p>5.3 Multiplying Polynomials</p> <p>5.4 Special Products</p> <p>Integrated Review–Exponents and Operations on Polynomials</p> <p>5.5 Negative Exponents and Scientific Notation</p> <p>5.6 Dividing Polynomials</p> <p><strong>6. Factoring Polynomials </strong></p> <p>6.1 The Greatest Common Factor and Factoring by Grouping</p> <p>6.2 Factoring Trinomials of the Form x 2 + bx + c</p> <p>6.3 Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomials</p> <p>6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping</p> <p>6.5 Factoring Binomials</p> <p>Integrated Review–Choosing a Factoring Strategy</p> <p>6.6 Solving Quadratic Equations by Factoring</p> <p>6.7 Quadratic Equations and Problem Solving</p> <p><strong>7. Rational Expressions </strong></p> <p>7.1 Simplifying Rational Expressions</p> <p>7.2 Multiplying and Dividing Rational Expressions</p> <p>7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least</p> <p>Common Denominator</p> <p>7.4 Adding and Subtracting Rational Expressions with Unlike Denominators</p> <p>7.5 Solving Equations Containing Rational Expressions</p> <p>Integrated Review–Summary on Rational Expressions</p> <p>7.6 Proportion and Problem Solving with Rational Equations</p> <p>7.7 Variation and Problem Solving</p> <p>7.8 Simplifying Complex Fractions</p> <p><strong>8. Roots and Radicals </strong></p> <p>8.1 Introduction to Radicals</p> <p>8.2 Simplifying Radicals</p> <p>8.3 Adding and Subtracting Radicals</p> <p>8.4 Multiplying and Dividing Radicals</p> <p>Integrated Review–Simplifying Radicals</p> <p>8.5 Solving Equations Containing Radicals</p> <p>8.6 Radical Equations and Problem Solving</p> <p>8.7 Rational Exponents</p> <p><strong>9. Quadratic Equations </strong></p> <p>9.1 Solving Quadratic Equations by the Square Root Property</p> <p>9.2 Solving Quadratic Equations by Completing the Square</p> <p>9.3 Solving Quadratic Equations by the Quadratic Formula</p> <p>Integrated Review–Summary on Solving Quadratic Equations</p> <p>9.4 Complex Solutions of Quadratic Equations</p> <p>9.5 Graphing Quadratic Equations</p> <p><strong>Appendices</strong></p> <p>A Geometry</p> <p>B Additional Exercises on Proportion and Proportion Applications</p> <p>C Operations on Decimals</p> <p>D Mean, Median, and Mode</p> <p>E Tables</p> <p>Contents of Student Resources</p> <p>Student Resources</p> <p>Study Skills Builders</p> <p>Bigger Picture–Study Guide Outline</p> <p>Practice Final Exam</p>