Beginning Algebra: Hybrid

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1. BASIC CONCEPTS OF ARITHMETIC AND ALGEBRA. Numerical and Algebraic Expressions. Addition, Subtraction, Multiplication, and Division of Integers. Use of Properties. Prime and Composite Numbers. Rational Numbers. Decimals and Real Numbers. 2. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING. Solving First-Degree Equations. Translating from English to Algebra. Equations and Problem Solving. More on Solving Equations and Problem Solving. Equations Involving Parentheses and Fractional Forms. Inequalities. Inequalities, Compound Inequalities, and Problem Solving. 3. RATIO, PERCENT, FORMULAS, AND PROBLEM SOLVING. Ratio, Proportion, and Percent. More on Percents and Problem Solving. Formulas: Geometric and Others. Problem Solving. More about Problem Solving. 4. EXPONENTS AND POLYNOMIALS. Addition and Subtraction of Polynomials. Multiplying Monomials. Multiplying Polynomials. Dividing by Monomials. Dividing by Binomials. Zero and Negative Integers as Exponents. 5. FACTORING, SOLVING EQUATIONS, AND PROBLEM SOLVING. Factoring by Using the Distributive Property. Factoring the Difference of Two Squares. Factoring Trinomials of the Form x2 + bx + c. Factoring Trinomials of the Form ax2 + bx + c. Factoring, Solving Equations, and Problem Solving. 6. RATIONAL EXPRESSIONS AND RATIONAL EQUATIONS. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. More on Addition and Subtraction of Rational Expressions. Rational Equations and Problem Solving. More Rational Equations and Problem Solving. 7. COORDINATE GEOMETRY. Cartesian Coordinate System. Graphing Linear Equations and Applications. Graphing Linear Inequalities. Slope of a Line. Writing Equations of Lines. 8. SYSTEMS OF EQUATIONS. Solving Linear Systems by Graphing. Elimination-by-Addition Method. Substitution Method. 3 x 3 Systems of Equations. 9. ROOTS AND RADICALS. Roots and Radicals. Simplifying Radicals. Simplifying Radicals of Quotients. Products and Quotients Involving Radicals. Solving Radical Equations. 10. QUADRATIC EQUATIONS. Quadratic Equations. Completing the Square. Quadratic Formula. Solving Quadratic Equations-Which Method? Solving Problems Using the Quadratic Equation.