The Lial series has helped thousands of students succeed in developmental mathematics through its approachable writing style, supportive pedagogy, varied exercise sets, and complete supplements package. With this new edition, the authors continue to provide students and instructors with the best package for learning and teaching support–a book written with student success as its top priority, now with an emphasis on study skills growth and an expanded instructor supplements package.
Table of Contents:
Study Skills: Your Brain Can Learn Mathematics
1. Whole Numbers
1.1 Reading and Writing Whole Numbers
Study Skills: Using Your Textbook
1.2 Adding Whole Numbers
1.3 Subtracting Whole Numbers
1.4 Multiplying Whole Numbers
1.5 Dividing Whole Numbers
1.6 Long Division
1.7 Rounding Whole Numbers
1.8 Exponents, Roots, and Order of Operations
Study Skills: Taking Lecture Notes
1.9 Reading Pictographs, Bar Graphs, and Line Graphs
1.10 Solving Application Problems
2. Multiplying and Dividing Fractions
2.1 Basics of Fractions
Study Skills: Homework: How, Why, When
2.2 Mixed Numbers
2.3 Factors
2.4 Writing a Fraction in Lowest Terms
Study Skills: Using Study Cards
2.5 Multiplying Fractions
2.6 Applications of Multiplication
2.7 Dividing Fractions
2.8 Multiplying and Dividing Mixed Numbers
Study Skills: Using Study Cards Revisited
Study Skills: Reviewing a Chapter
Study Skills: Preparing for Tests
3. Adding and Subtracting Fractions
3.1 Adding and Subtracting Like Fractions
Study Skills: Managing Your Time
3.2 Least Common Multiples
3.3 Adding and Subtracting Unlike Fractions
Study Skills: Making a Mind Map
3.4 Adding and Subtracting Mixed Numbers
3.5 Order Relations and the Order of Operations
Study Skills: Tips for Taking Math Tests
4. Decimals
4.1 Reading and Writing Decimals
4.2 Rounding Decimals
4.3 Adding and Subtracting Decimals
4.4 Multiplying Decimals
4.5 Dividing Decimals
4.6 Writing Fractions as Decimals
Study Skills: Analyzing Your Test Results
5. Ratio and Proportion
5.1 Ratios
5.2 Rates
5.3 Proportions
5.4 Solving Proportions
5.5 Solving Application Problems with Proportions
6. Percent
6.1 Basics of Percent
6.2 Percents and Fractions
6.3 Using the Percent Proportion and Identifying the Components in a Percent Problem
6.4 Using Proportions to Solve Percent Problems
6.5 Using the Percent Equation
6.6 Solving Application Problems with Percent
6.7 Simple Interest
6.8 Compound Interest
Study Skills: Preparing for a Final Exam
7. Geometry
7.1 Lines and Angels
7.2 Rectangles and Squares
7.3 Parallelograms and Trapezoids
7.4 Triangles
7.5 Circles
7.6 Volume and Surface Area
7.7 Pythagorean Theorem
7.8 Congruent and Similar Triangles
8. Statistics
8.1 Circle Graphs
8.2 Bar Graphs and Line Graphs
8.3 Frequency Distributions and Histograms
8.4 Mean, Median, and Mode
9. The Real Number System
9.1 Exponents, Order of Operations, and Inequality
9.2 Variables, Expressions, and Equations
9.3 Real Numbers and the Number Line
9.4 Adding Real Numbers
9.5 Subtracting Real Numbers
9.6 Multiplying and Dividing Real Numbers
9.7 Properties of Real Numbers
9.8 Simplifying Expressions
10. Equations, Inequalities, and Applications
10.1 The Addition Property of Equality
10.2 The Multiplication Property of Equality
10.3 More on Solving Linear Equations
10.4 An Introduction to Applications of Linear Equations
10.5 Formulas and Additional Applications from Geometry
10.6 Solving Linear Inequalities
11. Graphs of Linear Equations and Inequalities in Two Variables
11.1 Reading Graphs; Linear Equations in Two Variables
11.2 Graphing Linear Equations in Two Variables
11.3 Slope of a Line
11.4 Equations of Lines
11.5 Graphing Linear Inequalities in Two Variables
12. Exponents and Polynomials
12.1 Adding and Subtracting Polynomials
12.2 The Product Rule and Power Rules for Exponents
12.3 Multiplying Polynomials
12.4 Special Products
12.5 Integer Exponents and the Quotient Rule
12.6 Dividing a Polynomial by a Monomial
12.7 Dividing a Polynomial by a Polynomial
12.8 An Application of Exponents: Scientific Notation
13. Factoring and Applications
13.1 Factors; The Greatest Common Factor
13.2 Factoring Trinomials
13.3 Factoring Trinomials by Grouping
13.4 Factoring Trinomials Using FOIL
13.5 Special Factoring Techniques
13.6 A General Approach to Factoring
13.7 Solving Quadratic Equations by Factoring
13.8 Applications of Quadratic Equations
14. Rational Expressions and Applications
14.1 The Fundamental Property of Rational Expressions
14.2 Multiplying and Dividing Rational Expressions
14.3 Least Common Denominators
14.4 Adding and Subtracting Rational Expressions
14.5 Complex Fractions
14.6 Solving Equations with Rational Expressions
14.7 Applications of Rational Expressions
14.8 Variation
15. Systems of Linear Equations and Inequalities
15.1 Solving Systems of Linear Equations by Graphing
15.2 Solving Systems of Linear Equations by Substitution
15.3 Solving Systems of Linear Equations by Elimination
15.4 Application of Linear Systems
15.5 Solving Systems of Linear Inequalities
16. Roots and Radicals
16.1 Evaluating Roots
16.2 Multiplying, Dividing, and Simplifying Radicals
16.3 Adding and Subtracting Radicals
16.4 Rationalizing the Denominator
16.5 More Simplifying and Operations with Radicals
16.6 Solving Equations with Radicals
17. Quadratic Equations
17.1 Solving Quadratic Equations by the Square Root Property
17.2 Solving Quadratic Equations by Completing the Square
17.3 Solving Quadratic Equations by the Quadratic Formula
17.4 Graphing Quadratic Equations
17.5 Introduction to Functions
Appendix A. Measurement
Appendix B. Inductive and Deductive Reasoning
