Text
Beginning algebra
Contents:
1. REAL NUMBERS AND THEIR BASIC PROPERTIES
Real Numbers and Their Graphs.
Fractions.
Exponents and Order of Operations.
Adding and Subtracting Real Numbers.
Multiplying and Dividing Real Numbers.
Algebraic Expressions.
Properties of Real Numbers.
2. EQUATIONS AND INEQUALITIES
Solving Basic Linear Equations in One Variable.
Solving More Linear Equations in One Variable.
Simplifying Expressions to Solve Linear Equations in One Variable.
Formulas.
Introduction to Problem Solving.
Motion and Mixture Problems.
Solving Linear Inequalities in One Variable.
3. GRAPHING; WRITING EQUATIONS OF LINES; FUNCTIONS; VARIATION.
The Rectangular Coordinate System.
Graphing Linear Equations.
Slope of a Line.
Point-Slope Form.
Slope-Intercept Form.
Functions.
Variation.
4. POLYNOMIALS.
Natural-Number Exponents.
Zero and Negative-Integer Exponents.
Scientific Notation.
Polynomials.
Adding and Subtracting Polynomials.
Multiplying Polynomials.
Dividing Polynomials by Monomials.
Dividing Polynomials by Polynomials.
5. FACTORING POLYNOMIALS.
Factoring Out the Greatest Common Factor; Factoring by Grouping.
Factoring the Difference of Two Squares.
Factoring Trinomials with a Leading Coefficient of
Factoring General Trinomials.
Factoring the Sum and Difference of Two Cubes.
Summary of Factoring Techniques.
Solving Equations by Factoring.
6. RATIONAL EXPRESSIONS AND EQUATIONS; RATIO AND PROPORTION.
Simplifying Rational Expressions.
Multiplying and Dividing Rational Expressions.
Adding and Subtracting Rational Expressions.
Simplifying Complex Fractions.
Solving Equations That Contain Rational Expressions.
Solving Applications of Equations That Contain Rational Expressions.
Ratios.
Proportions and Similar Triangles.
7. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES.
Solving Systems of Linear Equations by Graphing.
Solving Systems of Linear Equations by Substitution.
Solving Systems of Linear Equations by Elimination (Addition).
Applications of Systems of Equations.
Solving Systems of Linear Inequalities.
8. ROOTS AND RADICAL EXPRESSIONS.
Square Roots and the Pythagorean Theorem.
nth Roots and Radicands That Contain Variables.
Simplifying Radical Expressions.
Adding and Subtracting Radical Expressions.
Multiplying and Dividing Radical Expressions.
Solving Equations Containing Radicals; the Distance Formula.
Rational Exponents.
9. QUADRATIC EQUATIONS AND GRAPHING QUADRATIC FUNCTIONS.
Solving Quadratic Equations Using the Square-Root Property.
Solving Quadratic Equations by Completing the Square.
Solving Quadratic Equations by the Quadratic Formula.
Graphing Quadratic Functions.
Complex Numbers.
No other version available