Beginning Algebra

0          The Fundamental Operations of Real Numbers    

0.1            Symbols    

0.2       Sets of Numbers    

0.3       Basic Properties of Real Numbers    

0.4            Addition and Subtraction of Signed Numbers    

0.5            Multiplication and Division of Signed Numbers    

0.6            Operations on Fractions    

0.7            Decimal Place Value and Rounding Off    

0.8            Addition and Subraction of Decimals    

0.9            Multipication of Decimals    

0.10     Division of Decimals    

0.11            Fraction-Decimal Conversions    

0.12     Areas of Plane Figures    

0.13            Perimeters of Plane Figures    

0.14            Volumes and Surface Areas    

1            Exponents and Polynomials    

1.1            Multiplication with Exponents    

1.2       Division with Exponents    

1.3            Common Roots and Radicals    

1.4            Properties of Radicals    

1.5            Addition and Subtraction of Radicals    

1.6            Multiplication of Radicals    

1.7       Division of Radicals    

1.8            Applications of Exponents and Radicals    

2            Polynomials and Factoring    

2.1            Polynomials    

2.2            Polynomial Notation    

2.3            Addition and Subtraction of Polynomials    

2.4            Multiplication of Polynomials    

2.5       The FOIL Method and Special Products    

2.6       Division of Polynomials    

2.7            Factoring Integers    

2.8            Common Factors and Factoring by Grouping    

2.9            Factoring the Difference of Two Squares and Perfect-Square Trinomials    

2.10            Factoring Trinomials of the Form x2 1 bx 1 c    

2.11            Factoring Trinomials of the Form ax2 1 bx 1 c, a Þ 3          Linear Equations and Inequalities in One Variable    

3.1       Linear Equations in One Variable    

3.2       Literal Equations and Formulas    

3.3       Applied Problems    

3.4       Linear Inequalities    

4            Quadratic Equations    

4.1       Solving Quadratic Equations    

4.2       Solving Quadratic Equations by Using the Quadratic Formula

4.3            Applications of Quadratic Equations    

4.4            Complex Solutions to Quadratic Equations (Optional)

5            Graphing and Systems of Linear Equations    

5.1       The Cartesian Coordinate System    

5.2       Graphs of Linear Equations    

5.3            Intercepts and Slope of a Line    

5.4            Graphing Linear Inequalities    

            Solutions to Selected Problems    

            Index