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Each Chapter ends with a Summary and Review and Chapter Test. Every third Chapter also ends with a Cumulative Review.).
1. Introduction to Algebraic Expressions. Introduction to Algebra.
The Commutative, Associative, and Distributive Laws.
Fraction Notation.
Positive and Negative Real Numbers.
Addition of Real Numbers.
Subtraction of Real Numbers.
Multiplication and Division of Real Numbers.
Exponential Notation and Order of Operations.
2. Equations, Inequalities, and Problem Solving. Solving Equations.
Using the Principles Together.
Formulas.
Applications with Percent.
Problem Solving.
Solving Inequalities.
Solving Applications with Inequalities.
3. Introduction to Graphing. Interpreting Graphs and Ordered Pairs.
Graphing Linear Equations.
Graphing and Intercepts.
Rates.
Slope.
Slope-Intercept Form.
Point-Slope Form.
4. Polynomials. Exponents and Their Properties.
Polynomials.
Addition and Subtraction of Polynomials.
Multiplication of Polynomials.
Special Products.
Polynomials in Several Variables.
Division of Polynomials.
Negative Exponents and Scientific Notation.
5. Polynomials and Factoring. Introduction to Factoring.
Factoring Trinomials of the Type
x2 +
bx +
c.
Factoring Trinomials of the Type
ax2 +
bx +
c.
Factoring Perfect-Square Trinomials and Differences of Squares.
Factoring Sums or Differences of Cubes.
Factoring: A General Strategy.
Solving Polynomial Equations by Factoring.
Solving Applications.
6. Rational Expressions and Equations. Rational Expressions.
Multiplication and Division.
Addition, Subtraction, and Least Common Denominators.
Addition and Subtraction with Unlike Denominators.
Complex Rational Expressions.
Solving Rational Equations.
Applications Using Rational Equations and Proportions.
Formulas.
7. Functions and Graphs. Introduction to Functions.
Domain and Range.
Graphs of Functions.
The Algebra of Functions.
Variation and Problem Solving.
8. Systems of Equations and Problem Solving. Systems of Equations in Two Variables.
Solving by Substitution or Elimination.
Solving Applications: Systems of Two Equations.
Systems of Equations in Three Variables.
Solving Applications: Systems of Three Equations.
Elimination Using Matrices.
Determinants and Cramer's Rule.
Business and Economic Applications.
9. Inequalities and Problem Solving. Interval Notation and Problem Solving.
Intersections, Unions, and Compound Inequalities.
Absolute-Value Equations and Inequalities.
Inequalities in Two Variables.
Applications Using Linear Programming.
10. Exponents and Radical Functions. Radical Expressions and Functions.
Rational Numbers as Exponents.
Multiplying Radical Expressions.
Dividing Radical Expressions.
Expressions Containing Several Radical Terms.
Solving Radical Equations.
Geometric Applications.
The Complex Numbers.
11. Quadratic Functions and Equations. Quadratic Equations.
The Quadratic Formula.
Applications Involving Quadratic Equations.
Studying Solutions of Quadratic Equations.
Equations Reducible to Quadratic.
Quadratic Functions and Their Graphs.
More About Graphing Quadratic Functions.
Problem Solving and Quadratic Functions.
Polynomial and Rational Inequalities.
12. Exponential and Logarithmic Functions. Exponential Functions.
Composite and Inverse Functions.
Logarithmic Functions.
Properties of Logarithmic Functions.
Common and Natural Logarithms.
Solving Exponential and Logarithmic Equations.
Applications of Exponential and Logarithmic Functions.
13. Conic Sections. Conic Sections: Parabolas and Circles.
Conic Sections: Ellipses.
Conic Sections: Hyperbolas.
Nonlinear Systems of Equations.
14. Sequences, Series, and Probability. Sequences and Series.
Arithmetic Sequences and Series.
Geometric Sequences and Series.
Combinatorics: Permutations.
Combinatorics: Combinations.
The Binomial Theorem.
Introduction to Probability.
R. Elementary Algebra Review. Introduction to Algebraic Expressions.
Equations, Inequalities, and Problem Solving.
Introduction to Graphing.
Polynomials.
Polynomials and Factoring.
Rational Expressions and Equations.
Appendix A. Synthetic Division.
Answers. Index. 