Elementary Algebra For College Students

1. Real Numbers
   • 1.1 Study Skills for Success in Mathematics
   • 1.2 Problem Solving
   • 1.3 Fractions
   • 1.4 The Real Number System
   • 1.5 Inequalities and Absolute Value
     • Mid-Chapter Test: Sections 1.1—1.5
   • 1.6 Addition of Real Numbers
   • 1.7 Subtraction of Real Numbers
   • 1.8 Multiplication and Division of Real Numbers
   • 1.9 Exponents, Parentheses, and the Order of Operations
   • 1.10 Properties of the Real Number System
2. Solving Linear Equations and Inequalities
   • 2.1 Combining Like Terms
   • 2.2 The Addition Property of Equality
   • 2.3 The Multiplication Property of Equality
   • 2.4 Solving Linear Equations with a Variable on Only One Side of the Equation
     • Mid-Chapter Test: Sections 2.1—2.4
   • 2.5 Solving Linear Equations with the Variable on Both Sides of the Equation
   • 2.6 Formulas
   • 2.7 Ratios and Proportions
   • 2.8 Inequalities in One Variable
3. Applications of Algebra
   • 3.1 Changing Application Problems into Equations
   • 3.2 Solving Application Problems
     • Mid-Chapter Test: Sections 3.1—3.2
   • 3.3 Geometric Problems
   • 3.4 Motion, Money, and Mixture Problems
4. Exponents and Polynomials
   • 4.1 Exponents
   • 4.2 Negative Exponents
   • 4.3 Scientific Notation
     • Mid-Chapter Test: Sections 4.1—4.3
   • 4.4 Addition and Subtraction of Polynomials
   • 4.5 Multiplication of Polynomials
   • 4.6 Division of Polynomials
5. Factoring
   • 5.1 Factoring a Monomial from a Polynomial
   • 5.2 Factoring by Grouping
   • 5.3 Factoring Trinomials of the Form ax² + bx + c, a = 1
   • 5.4 Factoring Trinomials of the Form ax² + bx + c, a ≠ 1
     • Mid-Chapter Test: Sections 5.1—5.4
   • 5.5 Special Factoring Formulas and a General Review of Factoring
   • 5.6 Solving Quadratic Equations Using Factoring
   • 5.7 Applications of Quadratic Equations
6. Rational Expressions and Equations
   • 6.1 Simplifying Rational Expressions
   • 6.2 Multiplication and Division of Rational Expressions
   • 6.3 Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator
   • 6.4 Addition and Subtraction of Rational Expressions
     • Mid-Chapter Test: Sections 6.1—6.4
   • 6.5 Complex Fractions
   • 6.6 Solving Rational Equations
   • 6.7 Rational Equations: Applications and Problem Solving
   • 6.8 Variation
7. Graphing Linear Equations
   • 7.1 The Cartesian Coordinate System and Linear Equations in Two Variables
   • 7.2 Graphing Linear Equations
   • 7.3 Slope of a Line
     • Mid-Chapter Test: Sections 7.1—7.3
   • 7.4 Slope-Intercept and Point-Slope Forms of a Linear Equation
   • 7.5 Graphing Linear Inequalities
   • 7.6 Functions
8. Systems of Linear Equations
   • 8.1 Solving Systems of Equations Graphically
   • 8.2 Solving Systems of Equations by Substitution
   • 8.3 Solving Systems of Equations by the Addition Method
     • Mid-Chapter Test: Sections 8.1—8.3
   • 8.4 Systems of Equations: Applications and Problem Solving
   • 8.5 Solving Systems of Linear Inequalities
9. Roots and Radicals
   • 9.1 Evaluating Square Roots
   • 9.2 Simplifying Square Roots
   • 9.3 Adding, Subtracting, and Multiplying Square Roots
   • 9.4 Dividing Square Roots
     • Mid-Chapter Test: Sections 9.1—9.4
   • 9.5 Solving Radical Equations
   • 9.6 Radicals: Applications and Problem Solving
   • 9.7 Higher Roots and Rational Exponents
10. Quadratic Equations
    • 10.1 The Square Root Property
    • 10.2 Solving Quadratic Equations by Completing the Square
    • 10.3 Solving Quadratic Equations by the Quadratic Formula
      • Mid-Chapter Test: Sections 10.1—10.3
    • 10.4 Graphing Quadratic Equations
    • 10.5 Complex Numbers

Appendices

• A. Review of Decimals and Percent
• B. Geometry