Introductory Algebra Through Applications

R. Pre-algebra Review. Exponents and Order of Operations. Factors, Primes, and Least Common Multiples. Fractions. Decimals. Percent Conversions. 1. Introduction to Real Numbers and Algebraic Expressions. Integers, Rational Numbers, and the Real Number Line. Addition of Real Numbers. Subtraction of Real Numbers. Multiplication of Real Numbers. Division of Real Numbers. Algebraic Expressions, Translations, and Exponents. Evaluating Algebraic Expressions and Formulas. Simplifying Algebraic Expressions. 2. Solving Linear Equations and Inequalities. Solving Linear Equations: The Addition Property. Solving Linear Equations: The Multiplication Property. Solving Linear Equations by Combining Properties. Solving Literal Equations and Formulas. Solving Equations Involving Percent. Solving Inequalities. 3. Graphing Linear Equations and Inequalities. Introduction to Graphing. Slope. Linear Equations and Their Graphs. More on Linear Equations and Their Graphs. Linear Inequalities and Their Graphs. 4. Solving Systems of Linear Equations. Introduction to Systems of Linear Equations: Solving by Graphing. Solving Systems of Linear Equations by Substitution. Solving Systems of Linear Equations by Elimination. 5. Exponents and Polynomials. Laws of Exponents. More Laws of Exponents and Scientific Notation. Basic Concepts of Polynomials. Addition and Subtraction of Polynomials. Multiplication of Polynomials. Special Products. Division of Polynomials. 6. Factoring Polynomials. Common Factors and Factoring by Grouping. Factoring Trinomials Whose Leading Coefficient Is One. Factoring Trinomials Whose Leading Coefficient Is Not One. Factoring Perfect Square Trinomials and the Difference of Squares. Solving Quadratic Equations by Factoring. 7. Rational Expressions and Equations. Rational Expressions. Multiplication and Division of Rational Expressions. [read more]