Introductory Algebra : Everyday Explorations

1. ALGEBRAIC REPRESENTATIONS. Problem-Solving Steps and Strategies. Numeric Representations. Symbolic & Verbal Representations, Part 1. Symbolic & Verbal Representations, Part 2. Visual Representations: Rectangular Coordinate Graphs. Chapter Summary. Review Exercises. Chapter Test. 2. OPERATIONS WITH REAL NUMBERS AND EXPRESSIONS. Addition and Subtraction with Integers. Multiplication and Division with Positive and Negative Numbers. Fractions, Exponents, and Order of Operations. Properties of Real Numbers Applied to Simplifying Expressions and Adding Like Terms. Unit Analysis and Formulas. Inequalities, Intervals, and Line Graphs. Chapter Summary. Review Exercises. Chapter Test. Cumulative Review of Chapters 1 and 2. 3. SOLVING EQUATIONS AND INEQUALITIES IN ONE VARIABLE. Linear Equations in One and Two Variables. Solving Equations with Tables and Graphs. Solving Equations with Algebraic Notation, Part 1. Solving Equations with Algebraic Notation, Part 2. Solving Linear Inequalities in One Variable. Solving Formulas. Chapter Summary. Review Exercises. Chapter Test. Cumulative Review of Chapters 1 to 3. 4. RATIOS, RATES, AND PROPORTIONAL REASONING. Ratios and Rates. Proportions and Proportional Reasoning. Percents. Proportions in Similar Figures and Similar Triangles. (Optional) Right Triangle Trigonometry. Writing Equations from Word Problems with Quantity-Rate Tables. Chapter Summary. Review Exercises. Chapter Test. Cumulative Review of Chapters 1 to 4. 5. FUNCTIONS, LINEAR EQUATIONS, AND INEQUALITIES IN TWO VARIABLES. Functions and Graphs. Linear Functions: Slope and Rate of Change. Linear Functions: Intercepts and Slope. Linear Equations in Two Variables. Inequalities in Two Variables. Chapter Summary. Review Exercises. Chapter Test. Cumulative Review of Chapters 1 to 5. 6. SYSTEMS OF EQUATIONS AND INEQUALITIES. Solving Systems of Equations with Graphs and Tables. Setting Up Systems of Equations. Solving Systems of Equations by Substitution. Solving Systems of Equations by Elimination. Solving Systems of Linear Inequalities. Chapter Summary. Review Exercises. Chapter Test. Cumulative Review for Chapters 1 to 6. 7. POLYNOMIAL EXPRESSIONS AND INTEGER EXPONENTS. Operations on Polynomials. Multiplication of Binomials and Special Products. Factoring Trinomials. Factoring Special Products and Greatest Common Factors. Exponents. Scientific Notation. Chapter Summary. Review Exercises. Chapter Test. Cumulative Review of Chapters 1 to 7. 8. SQUARES AND SQUARE ROOTS: EXPRESSIONS AND EQUATIONS. Pythagorean Theorem. Square Root Expressions and Properties and the Distance Formula. Simplifying Expressions and Solving Square Root Equations. Graphing and Solving Quadratic Equations. Solving Quadratic Equations by Taking the Square Root or Factoring. Solving Quadratic Equations with the Quadratic Formula. Chapter Summary. Review Exercises. Chapter Test. Cumulative Review of Chapters 1 to 8. 9. RATIONAL EXPRESSIONS AND EQUATIONS. Rational Functions: Graphs and Applications. Simplifying Rational Expressions. Multiplication and Division of Rational Expressions. Finding the Common Denominator and Addition and Subtraction of Rational Expressions. Solving Rational Equations. Chapter Summary. Review Exercises. Chapter Test. Final Exam Review. 10. STATISTICS (ONLINE). What is Statistics. Descriptive Statistics: Averages. Descriptive Statistics: Summary and Spreads. Display of Data. Linear Regression. Chapter Summary. Review Exercises. Chapter Test