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Beginning & Intermediate Algebra (Combined Books)Mathematics

Beginning and Intermediate Algebra will appeal to students
who have mastered arithmetic concepts and need a review of, or introduction
to, algebra topics before proceeding to college algebra or other higherlevel
math courses. This text emphasizes problemsolving, critical thinking
and realworld applications, in a way your students will find easy
to understand.
This text incorporates many of the features that make the MartinGay
series so successful—including its accessible writing style and
userfriendly pedagogy.
NEW—updated applications relate to a variety of disciplines.
Environmental science, allied health, astronomy, and business applications
(to name only a few) will appeal to students from a variety of backgrounds.
NEW—a heavy emphasis on analyzing data.
Bar graphs, circle graphs, and real data are included where applicable
to emphasize the connection between statistics and algebra. With this
emphasis, students will learn how to read charts and graphs—and
be more motivated to learn.
NEW—problem solving is introduced in Section 2.5,
and then integrated throughout the text. A sixstep process is included
to give students a framework for solving applications. This allows
them to concentrate on the math skills needed to solve problems.
NEW—an early introduction to graphing, introduced
in Chapter 4. This is used as a tool for solving problems. This allows
for an increased emphasis on visualization that better enables students
to grasp algebra concepts.
NEW—effectively integrates geometric concepts.
Geometric figures and applications are included as frequently as possible,
emphasizing the connection between algebra and geometry.
PROVEN PEDAGOGY:
problemsolving and criticalthinking skills
are developed via chapteropening vignettes with fullcolor photographs,
along with related endofchapter boxes that extend the vignettes
and offer thoughtprovoking questions.
a twotier pedagogical strategy allows students to
master concepts and gain confidence. The first part of all exercise
sets is keyed directly to worked examples in the text. Once students
have gained confidence in a skill, the second part contains exercises
that are more challenging.
A Look Ahead exercises and examples, bridge the gap
between beginning, intermediate, and college algebra and precalculus.
These examples with accompanying exercises are extensions of topics
which give students a glimpse of what they can expect in their next
course.
Word Problems and Writing in Mathematics exercises
are featured throughout and highlighted within exercise sets.
Calculator boxes are placed appropriately throughout
the text to instruct students on the proper use of a calculator. These
boxes are entirely optional, and contain examples and exercises to
reinforce the material introduced.
Helpful Hint boxes contain practical advice on problem
solving. They appear in context, and give students extra help in understanding
and working problems.
Mental Math appears at the beginning of many exercise
sets and encourages students to do routine calculations in their heads.
End of Chapter materials: endofchapter reviews,
tests, cumulative reviews, and chapter summaries provide students
with a variety of exercise material.
=
gif/chapter.gif = 1. Review of Real Numbers.
gif/ahead.gifS = Symbols. Sets of Numbers. Fractions. Exponents, Roots, and
Order of Operations. Introduction to Variables and Equations. Adding
and Subtracting Real Numbers. Multiplying and Dividing Real Numbers.
Properties of Real Numbers.
gif/chapter.gif = 2. Equations and Problem Solving.
gif/ahead.gifS = Simplifying Algebraic Expressions. The Addition and Multiplication
Properties of Equality. Solving Linear Equations. Formulas. An Introduction
to Problem Solving. Reading Graphs and Ordered Pairs.
gif/chapter.gif = 3. Inequalities, Absolute Value, and Problem Solving.
gif/ahead.gifS = Ratio and Proportion. Percent and Problem Solving. Further
Applications of Linear Equations. Absolute Value Equations. The Addition
and Multiplication Properties of Inequality. Compound Inequalities.
Absolute Value Inequalities.
gif/chapter.gif = 4. Graphing.
gif/ahead.gifS = Graphing Equations. Introduction to Functions. Graphing
Linear Functions. The Slope of a Line. Equations of Lines. Graphing
Linear Inequalities.
gif/chapter.gif = 5. Exponents and Polynomials.
gif/ahead.gifS = Exponents. Negative Exponents and Scientific Notation. Addition
and Subtraction of Polynomials. Multiplication of Polynomials. Division
of Polynomials. Synthetic Division and the Remainder Theorem. Algebra
of Functions and Composition of Functions.
gif/chapter.gif = 6. Factoring Polynomials.
gif/ahead.gifS = The Greatest Common Factor and Factoring by Grouping. Factoring
Trinomials of the Form x + bx + c. Factoring Trinomials of
the Form ax + bx + c. Factoring Binomials. Factoring Polynomials
Completely. Solving Equations by Factoring and Problem Solving. An
Introduction to Graphing Polynomial Functions.
gif/chapter.gif = 7. Rational Expressions.
gif/ahead.gifS = Simplifying Rational Expressions. Multiplying and Dividing
Rational Expressions. Adding and Subtracting Rational Expressions.
Complex Fractions. Solving Equations Containing Rational Expressions.
Rational Expressions and Problem Solving. Variation and Problem Solving.
gif/chapter.gif = 8. Roots and Radicals.
gif/ahead.gifS = Introduction to Radicals. Simplifying Radicals. Adding and
Subtracting Radicals. Multiplying and Dividing Radicals. Rational
Exponents. Solving Equations Containing Radicals.
gif/chapter.gif = 9. Quadratic Equations and Inequalities.
gif/ahead.gifS = Solving Quadratic Equations by Completing the Square. Solving
Quadratic Equations by the Quadratic Formula. Solving Equations in
Quadratic Form. Nonlinear Inequalities in One Variable. Quadratic
Functions and Their Graphs. Further Graphing of Quadratic Functions.
The Parabola and the Circle. The Ellipse and the Hyperbola.
gif/chapter.gif = 10. Systems of Equations and Inequalities.
gif/ahead.gifS = Solving the Systems of Linear Equations in Two Variables.
Solving the Systems of Linear Equations in Three Variables. Applications
of Linear Systems of Equations. Solving Systems of Equations by Determinates. Solving
Systems of Equations by Matrices. Solving Nonlinear Systems of Equations.
Nonlinear Inequalities and Systems of Inequalities.
gif/chapter.gif = 11. Exponential and Logarithmic Functions.
gif/ahead.gifS = Inverse Functions. Exponential Functions. Logarithmic Functions.
Properties of Logarithms. Common Logarithms, Natural Logarithms and
Change of Base. Exponential and Logarithmic Functions and Problem
Solving.
gif/chapter.gif = 12. Sequences, Series, and the Binomial Theorem.
gif/ahead.gifS = Sequences. Arithmetic and Geometric Sequences. Series. Partial
Sums of Arithmetic and Geometric Sequences. The Binomial Theorem.
gif/chapter.gif = Appendix A. Operations on Decimals.
gif/chapter.gif = Appendix B. Review of Angles, Lines, and Special Triangles.
gif/chapter.gif = Appendix C. Review of Geometric Figures.
gif/chapter.gif = Appendix D. Table of Squares and Square Roots.
gif/chapter.gif = Appendix E. Answers to Selected Exercises.
gif/chapter.gif = Index.
= …• 1996,
= 768 pp.,
= cloth
= (013341504X)
= (341503)
= MM0108 p.296
=
=
SUPPLEMENTS:
= Instructor's Solutions Manual (0133808416); (380840)
= Test Item File (0133812782); (381277)
= 3.5 IBM TestPro Beginning Algebra (0133701980); (370197)
= Student Solutions Manual (0133809080); (380907)
= Lecture Videotape Beginning (0130868361); (086835)
= Lecture Videotape Intermediate (0134741498); (474148)
= MAC Math Master Tutor Beginning (0130868280); (086827)
= MAC Math Master Tutor Intermediate (0134740815);
(474080)
NEW—updated applications relate to a variety of disciplines.
Environmental science, allied health, astronomy, and business applications
(to name only a few) will appeal to students from a variety of backgrounds.
NEW—a heavy emphasis on analyzing data.
Bar graphs, circle graphs, and real data are included where applicable
to emphasize the connection between statistics and algebra. With this
emphasis, students will learn how to read charts and graphs—and
be more motivated to learn.
NEW—problem solving is introduced in Section 2.5,
and then integrated throughout the text. A sixstep process is included
to give students a framework for solving applications. This allows
them to concentrate on the math skills needed to solve problems.
NEW—an early introduction to graphing, introduced
in Chapter 4. This is used as a tool for solving problems. This allows
for an increased emphasis on visualization that better enables students
to grasp algebra concepts.
NEW—effectively integrates geometric concepts.
Geometric figures and applications are included as frequently as possible,
emphasizing the connection between algebra and geometry.
PROVEN PEDAGOGY:
problemsolving and criticalthinking skills
are developed via chapteropening vignettes with fullcolor photographs,
along with related endofchapter boxes that extend the vignettes
and offer thoughtprovoking questions.
a twotier pedagogical strategy allows students to
master concepts and gain confidence. The first part of all exercise
sets is keyed directly to worked examples in the text. Once students
have gained confidence in a skill, the second part contains exercises
that are more challenging.
A Look Ahead exercises and examples, bridge the gap
between beginning, intermediate, and college algebra and precalculus.
These examples with accompanying exercises are extensions of topics
which give students a glimpse of what they can expect in their next
course.
Word Problems and Writing in Mathematics exercises
are featured throughout and highlighted within exercise sets.
Calculator boxes are placed appropriately throughout
the text to instruct students on the proper use of a calculator. These
boxes are entirely optional, and contain examples and exercises to
reinforce the material introduced.
Helpful Hint boxes contain practical advice on problem
solving. They appear in context, and give students extra help in understanding
and working problems.
Mental Math appears at the beginning of many exercise
sets and encourages students to do routine calculations in their heads.
End of Chapter materials: endofchapter reviews,
tests, cumulative reviews, and chapter summaries provide students
with a variety of exercise material.
1. Review of Real Numbers.
Symbols. Sets of Numbers. Fractions. Exponents, Roots, and
Order of Operations. Introduction to Variables and Equations. Adding
and Subtracting Real Numbers. Multiplying and Dividing Real Numbers.
Properties of Real Numbers.
2. Equations and Problem Solving.
Simplifying Algebraic Expressions. The Addition and Multiplication
Properties of Equality. Solving Linear Equations. Formulas. An Introduction
to Problem Solving. Reading Graphs and Ordered Pairs.
3. Inequalities, Absolute Value, and Problem Solving.
Ratio and Proportion. Percent and Problem Solving. Further
Applications of Linear Equations. Absolute Value Equations. The Addition
and Multiplication Properties of Inequality. Compound Inequalities.
Absolute Value Inequalities.
4. Graphing.
Graphing Equations. Introduction to Functions. Graphing
Linear Functions. The Slope of a Line. Equations of Lines. Graphing
Linear Inequalities.
5. Exponents and Polynomials.
Exponents. Negative Exponents and Scientific Notation. Addition
and Subtraction of Polynomials. Multiplication of Polynomials. Division
of Polynomials. Synthetic Division and the Remainder Theorem. Algebra
of Functions and Composition of Functions.
6. Factoring Polynomials.
The Greatest Common Factor and Factoring by Grouping. Factoring
Trinomials of the Form x + bx + c. Factoring Trinomials of
the Form ax + bx + c. Factoring Binomials. Factoring Polynomials
Completely. Solving Equations by Factoring and Problem Solving. An
Introduction to Graphing Polynomial Functions.
7. Rational Expressions.
Simplifying Rational Expressions. Multiplying and Dividing
Rational Expressions. Adding and Subtracting Rational Expressions.
Complex Fractions. Solving Equations Containing Rational Expressions.
Rational Expressions and Problem Solving. Variation and Problem Solving.
8. Roots and Radicals.
Introduction to Radicals. Simplifying Radicals. Adding and
Subtracting Radicals. Multiplying and Dividing Radicals. Rational
Exponents. Solving Equations Containing Radicals.
9. Quadratic Equations and Inequalities.
Solving Quadratic Equations by Completing the Square. Solving
Quadratic Equations by the Quadratic Formula. Solving Equations in
Quadratic Form. Nonlinear Inequalities in One Variable. Quadratic
Functions and Their Graphs. Further Graphing of Quadratic Functions.
The Parabola and the Circle. The Ellipse and the Hyperbola.
10. Systems of Equations and Inequalities.
Solving the Systems of Linear Equations in Two Variables.
Solving the Systems of Linear Equations in Three Variables. Applications
of Linear Systems of Equations. Solving Systems of Equations by Determinates. Solving
Systems of Equations by Matrices. Solving Nonlinear Systems of Equations.
Nonlinear Inequalities and Systems of Inequalities.
11. Exponential and Logarithmic Functions.
Inverse Functions. Exponential Functions. Logarithmic Functions.
Properties of Logarithms. Common Logarithms, Natural Logarithms and
Change of Base. Exponential and Logarithmic Functions and Problem
Solving.
12. Sequences, Series, and the Binomial Theorem.
Sequences. Arithmetic and Geometric Sequences. Series. Partial
Sums of Arithmetic and Geometric Sequences. The Binomial Theorem.
Appendix A. Operations on Decimals.
Appendix B. Review of Angles, Lines, and Special Triangles.
Appendix C. Review of Geometric Figures.
Appendix D. Table of Squares and Square Roots.
Appendix E. Answers to Selected Exercises.
Index.
