9780321506429

Developmental Mathematics : Basic Mathematics and Algebra

by ; ; ; ;
  • ISBN13:

    9780321506429

  • ISBN10:

    0321506421

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 1/1/2008
  • Publisher: Addison Wesley
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List Price: $170.67

Summary

Key Message: Lialrs"sDevelopmental Mathematicsgives readers the tools necessary to succeed in developmental math courses and prepares them for future math courses and the rest of their lives. The Lial developmental team creates a pattern for success by emphasizing problem-solving skills, vocabulary comprehension, real-world applications, and strong exercise sets. In keeping with the proven Lial track record, this book offers an effective design with many exercises and applications to enhance comprehension of basic mathematics and algebra. Key Topics: Whole Numbers, Multiplying and Dividing Fractions, Adding and Subtracting Fractions, Decimals, Ratio and Proportion, Percent, Geometry, Statistics, The Real Number System, Equations, Inequalities, and Applications, Graphs of Linear Equations and Inequalities in Two Variables, Exponents and Polynomials, Factoring and Applications, Rational Expressions and Applications, Systems of Linear Equations and Inequalities, Roots and Radicals, Quadratic Equations Market: For all readers interested in mathematics.

Table of Contents

Whole Numbers
Reading and Writing Whole Numbers
Adding Whole Numbers
Subtracting Whole Numbers
Multiplying Whole Numbers
Dividing Whole Numbers
Long Division
Rounding Whole Numbers
Exponents, Roots, and Order of Operations
Reading Pictographs, Bar Graphs, and Line Graphs
Solving Application Problems
Summary
Review Exercises
Test
Multiplying and Dividing Fractions
Basics of Fractions
Mixed Numbers
Factors
Writing a Fraction in Lowest Terms
Multiplying Fractions
Applications of Multiplication
Dividing Fractions
Multiplying and Dividing Mixed Numbers
Summary
Review Exercises
Test
Adding and Subtracting Fractions
Adding and Subtracting Like Fractions
Least Common Multiples
Adding and Subtracting Unlike Fractions
Adding and Subtracting Mixed Numbers
Order Relations and the Order of Operations
Summary
Review Exercises
Test
Decimals
Reading and Writing Decimals
Rounding Decimals
Adding and Subtracting Decimals
Multiplying Decimals
Dividing Decimals
Writing Fractions as Decimals
Summary
Review Exercises
Test
Ratio and Proportion
Ratios
Rates
Proportions
Solving Proportions
Solving Application Problems with Proportions
Summary
Review Exercises
Test
Percent
Basics of Percent
Percents and Fractions
Using the Percent Proportion and Identifying the Components in a Percent Problem
Using Proportions to Solve Percent Problems
Using the Percent Equation
Solving Application Problems with Percent
Simple Interest
Compound Interest
Summary
Review Exercises
Test
Geometry
Lines and Angles
Rectangles and Squares
Parallelograms and Trapezoids
Triangles
Circles
Volume and Surface Area
Pythagorean Theorem
Congruent and Similar Triangles
Summary
Review Exercises
Test
Statistics
Circle Graphs
Bar Graphs and Line Graphs
Frequency Distributions and Histograms
Mean, Median, and Mode
Summary
Review Exercises
Test
Cumulative Review Exercises
The Real Number System
Exponents, Order of Operations, and Inequality
Variables, Expressions, and Equations
Real Numbers and the Number Line
Adding Real Numbers
Subtracting Real Numbers
Multiplying and Dividing Real Numbers
Properties of Real Numbers
Simplifying Expressions
Summary
Review Exercises
Test
Equations, Inequalities, and Applications
The Addition Property of Equality
The Multiplication Property of Equality
More on Solving Linear Equations
An Introduction to Applications of Linear Equations
Formulas and Applications from Geometry
Solving Linear Inequalities
Summary
Review Exercises
Test
Graphs of Linear Equations and Inequalities in Two Variables
Reading Graphs: Linear Equations in Two Variables
Graphing Linear Equations in Two Variables
Slope of a Line
Equations of Lines
Graphing Linear Inequalities in Two Variables
Summary
Review Exercises
Test
Exponents and Polynomials
Adding and Subtracting Polynomials
The Product Rule and Power Rules for Exponents
Multiplying Polynomials
Special Products
Integer Exponents and the Quotient Rule
Dividing a Polynomial by a Monomial
Dividing a Polynomial by a Polynomial
An Application of Exponents: Scientific Notation
Summary
Review Exercises
Test
Factoring and Applications
Factors: The Greatest Common Factor
Factoring Trinomials
Factoring Trinomials by Grouping
Factoring Trinomials Using FOIL
Special Factoring Techniques
Solving Quadratic Equations by Factoring
Applications of Quadratic Equations
Summary
Review Exercises
Test
Rational Expressions and Applications
The Fundamental Property of Rational Expressions
Multiplying and Dividing Rational Expressions
Least Common Denominators
Adding and Subtracting Rational Expressions
Complex Fractions
Solving Equations with Rational Expressions
Applications of Rational Expressions
Variation
Summary
Review Exercises
Test
Systems of Linear Equations and Inequalities
Solving Systems of Linear Equations by Graphing
Solving Systems of Linear Equations by Substitution
Solving Systems of Linear Equations by Elimination
Applications of Linear Systems
Solving Systems of Linear Inequalities
Summary
Review Exercises
Test
Roots and Radicals
Evaluating Roots
Multiplying, Dividing, and Simplifying Radicals
Adding and Subtracting Radicals
Rationalizing the Denominator
More Simplifying and Operations with Radicals
Solving Equations with Radicals
Summary
Review Exercises
Test
Quadratic Equations
Solving Quadratic Equations by the Square Root Property
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by the Quadratic Formula
Graphing Quadratic Equations and Inequalities
Introduction to Functions
Summary
Review Exercises
Test
Cumulative Review Exercises
Measurement
Problem Solving with English Measurement
The Metric System Length
The Metric System Capacity and Weight (Mass)
Metric-English Conversions and Temperature
Sets
Further Algebra Topics
Absolute Value Equations and Inequalities
Midpoint and Distance Formulas
Rational Exponents
Inductive and Deductive Reasoning
Preparing for THEA
THEA Test Mathematical Skills
THEA Practice Test
Answers to Selected Exercises
Index
Table of Contents provided by Publisher. All Rights Reserved.

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