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Exceptionally clear and accessible, Pat McKeague's best-selling texts offer all the review, drill, and practice students need to develop solid mathematical proficiency and confidence. McKeague's attention to detail, exceptional writing style, and organization of mathematical concepts make teaching enjoyable and learning accessible. Building on his reputation for student-friendly content and supportive pedagogy, McKeague reaffirms his presence as a leader in developmental mathematics with the introduction of this new paperback title.
Preface to the Instructor.
Preface to the Student.
1. THE BASICS.
Notation and Symbols. Real Numbers. Addition of Real Numbers. Subtraction of Real Numbers. Properties of Real Numbers. Multiplication of Real Numbers. Division of Real Numbers. Subsets of Real Numbers. Addition and Subtraction with Fractions. Summary. Review. Test. Projects.
2. LINEAR EQUATIONS AND INEQUALITIES.
Simplifying Expressions. Addition Property of Equality. Multiplication Property of Equality. Solving Linear Equations. Formulas. Applications. More Applications. Linear Inequalities. Summary. Review. Cumulative Review, Chapters 1-2. Test. Projects.
3. GRAPHING AND LINEAR SYSTEMS.
Paired Data and Graphing Ordered Pairs. Solutions to Linear Equations in Two Variables. Graphing Linear Equations in Two Variables. More on Graphing: Intercepts. Solving Linear Systems by Graphing. The Addition Method. The Substitution Method. Applications. Summary. Review. Cumulative Review. Test. Projects.
4. EXPONENTS AND POLYNOMIALS.
Multiplication with Exponents. Division with Exponents. Operations with Monomials. Addition and Subtraction of Polynomials. Multiplication with Polynomials. Binomial Squares and Other Special Products. Dividing a Polynomial by a Monomial. Dividing a Polynomial by a Polynomial. Summary. Review. Cumulative Review, Chapters 1-4. Test. Projects.
5. FACTORING.
The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials. More Trinomials to Factor. The Difference of Two Squares. Factoring: A General Review. Solving Equations by Factoring. Applications. Summary. Review. Cumulative Review, Chapters 1-5. Test. Projects.
6. RATIONAL EXPRESSIONS.
Reducing Rational Expressions to Lowest Terms. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Equations Involving Rational Expressions. Applications. Complex Fractions. Proportions. Summary. Review. Cumulative Review, Chapters 1-6. Test. Projects.
7. TRANSITIONS.
Review of Solving Equations. Equations with Absolute Value. Compound Inequalities and Interval Notation. Inequalities Involving Absolute Value. Factoring the Sum and Difference of Two Cubes. Review of Systems of Linear Equations in Two Variables. Systems of Linear Equations in Three Variables. Summary. Review. Cumulative Review, Chapters 1-7. Test. Projects.
8. EQUATIONS AND INEQUALITIES IN TWO VARIABLES.
The Slope of a Line. The Equation of a Line. Linear Inequalities in Two Variables. Introduction to Functions. Function Notation. Algebra and Composition with Functions. Variation. Summary. Review. Cumulative Review, Chapters 1-8. Test. Projects.
9. RATIONAL EXPONENTS AND ROOTS.
Rational Exponents. More Expressions Involving Rational Exponents. Simplified Form for Radicals. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radical Expressions. Equations with Radicals. Complex Numbers. Summary. Review. Cumulative Review, Chapters 1-9. Test. Projects.
10. QUADRATIC EQUATIONS.
Completing the Square. The Quadratic Formula. Additional Items Involving Solutions to Equations. Equations in Quadratic Form. Graphing Parabolas. Quadratic Inequalities. Summary. Review. Cumulative Review, Chapters 1-10. Test. Projects.
11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. The Inverse of a Function. Logarithms are Exponents. Properties of Logarithms. Common Logarithms and Natural Logarithms. Exponential Equations and Change of Base. Summary. Review. Cumulative Review, Chapters 1-11. Test. Projects.
12. CONIC SECTIONS.
The Circle. Ellipses and Hyperbolas. Second-degree Inequalities and Nonlinear Systems. Summary. Review. Cumulative Review, Chapters 1-12. Test. Projects.
Appendices:
A. Synthetic Division.
B. Introduction to Determinants.
C. Cramer''s Rule.
D. Systems of Linear Inequalities.
Solutions to Selected Problems.
Answers to Chapter Reviews, Cumulative Reviews, Chapter Tests, and Odd-Numbered Problems.
Exceptionally clear and accessible, Pat McKeague's best-selling texts offer all the review, drill, and practice students need to develop solid mathematical proficiency and confidence. McKeague's attention to detail, exceptional writing style, and organization of mathematical concepts make teaching enjoyable and learning accessible. Building on his reputation for student-friendly content and supportive pedagogy, McKeague reaffirms his presence as a leader in developmental mathematics with the introduction of this new paperback title.
Table of Contents
Preface to the Instructor.
Preface to the Student.
1. THE BASICS.
Notation and Symbols. Real Numbers. Addition of Real Numbers. Subtraction of Real Numbers. Properties of Real Numbers. Multiplication of Real Numbers. Division of Real Numbers. Subsets of Real Numbers. Addition and Subtraction with Fractions. Summary. Review. Test. Projects.
2. LINEAR EQUATIONS AND INEQUALITIES.
Simplifying Expressions. Addition Property of Equality. Multiplication Property of Equality. Solving Linear Equations. Formulas. Applications. More Applications. Linear Inequalities. Summary. Review. Cumulative Review, Chapters 1-2. Test. Projects.
3. GRAPHING AND LINEAR SYSTEMS.
Paired Data and Graphing Ordered Pairs. Solutions to Linear Equations in Two Variables. Graphing Linear Equations in Two Variables. More on Graphing: Intercepts. Solving Linear Systems by Graphing. The Addition Method. The Substitution Method. Applications. Summary. Review. Cumulative Review. Test. Projects.
4. EXPONENTS AND POLYNOMIALS.
Multiplication with Exponents. Division with Exponents. Operations with Monomials. Addition and Subtraction of Polynomials. Multiplication with Polynomials. Binomial Squares and Other Special Products. Dividing a Polynomial by a Monomial. Dividing a Polynomial by a Polynomial. Summary. Review. Cumulative Review, Chapters 1-4. Test. Projects.
5. FACTORING.
The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials. More Trinomials to Factor. The Difference of Two Squares. Factoring: A General Review. Solving Equations by Factoring. Applications. Summary. Review. Cumulative Review, Chapters 1-5. Test. Projects.
6. RATIONAL EXPRESSIONS.
Reducing Rational Expressions to Lowest Terms. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Equations Involving Rational Expressions. Applications. Complex Fractions. Proportions. Summary. Review. Cumulative Review, Chapters 1-6. Test. Projects.
7. TRANSITIONS.
Review of Solving Equations. Equations with Absolute Value. Compound Inequalities and Interval Notation. Inequalities Involving Absolute Value. Factoring the Sum and Difference of Two Cubes. Review of Systems of Linear Equations in Two Variables. Systems of Linear Equations in Three Variables. Summary. Review. Cumulative Review, Chapters 1-7. Test. Projects.
8. EQUATIONS AND INEQUALITIES IN TWO VARIABLES.
The Slope of a Line. The Equation of a Line. Linear Inequalities in Two Variables. Introduction to Functions. Function Notation. Algebra and Composition with Functions. Variation. Summary. Review. Cumulative Review, Chapters 1-8. Test. Projects.
9. RATIONAL EXPONENTS AND ROOTS.
Rational Exponents. More Expressions Involving Rational Exponents. Simplified Form for Radicals. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radical Expressions. Equations with Radicals. Complex Numbers. Summary. Review. Cumulative Review, Chapters 1-9. Test. Projects.
10. QUADRATIC EQUATIONS.
Completing the Square. The Quadratic Formula. Additional Items Involving Solutions to Equations. Equations in Quadratic Form. Graphing Parabolas. Quadratic Inequalities. Summary. Review. Cumulative Review, Chapters 1-10. Test. Projects.
11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. The Inverse of a Function. Logarithms are Exponents. Properties of Logarithms. Common Logarithms and Natural Logarithms. Exponential Equations and Change of Base. Summary. Review. Cumulative Review, Chapters 1-11. Test. Projects.
12. CONIC SECTIONS.
The Circle. Ellipses and Hyperbolas. Second-degree Inequalities and Nonlinear Systems. Summary. Review. Cumulative Review, Chapters 1-12. Test. Projects.
Appendices:
A. Synthetic Division.
B. Introduction to Determinants.
C. Cramer''s Rule.
D. Systems of Linear Inequalities.
Solutions to Selected Problems.
Answers to Chapter Reviews, Cumulative Reviews, Chapter Tests, and Odd-Numbered Problems.