Prealgebra and Introductory Algebra

by Martin-Gay, K. Elayn

• ISBN13: 9780131449725
• ISBN10: 0131449729
• Format: Paperback
• Copyright: 2005-01-01
• Publisher: Prentice Hall

Summary

Elayn Martin-Gay believes "every" student can succeed and that is the motivating force behind her best-selling texts and acclaimed video program. With Martin-Gay you get 100% consistency in voice from text to video! "Prealgebra and Introductory Algebra 2e "is appropriate for a 2-sem sequence of Prealgebra (Basic Math with very early introduction to algebra) and Introductory Algebra (aka Elementary Algebra). This text was written to help students effectively make the transition from arithmetic to algebra and provide a strong foundation for success in their next, intermediate algebra course. To reach this goal, Martin-Gay introduces algebraic concepts early and repeats them as she treats traditional arithmetic topics, and then further develops their exposure to elementary-level algebra topics." "The material from this text is also available split out into two separate textbooks, "Prealgebra 5e" and "Introductory Algebra 3e, "if you prefer to use split textbooks, rather than one combined textbook for your 2-sem sequence.

Table of Contents

Whole Numbers and Introduction to Algebra Tips for Success in Mathematics

Place Value and Names for Numbers

Adding Whole Numbers and Perimeter

Subtracting Whole Numbers

Rounding and Estimating

Multiplying Whole Numbers and Area

Dividing Whole Numbers

Exponents and Order of Operations

Introduction to Variables and Algebraic Expressions

Integers Introduction to Integers

Adding Integers

Subtracting Integers

Multiplying and Dividing Integers

Order of Operation

Solving Equations and Problem Solving

Simplifying Algebraic Expressions

Solving Equations: The Addition Property

Solving Equations: The Multiplication Property

Solving Linear equations in One Variable

Linear Equations in One Variable and Problem Solving

Fractions

Introduction to Fractions and Equivalent Fractions

Factors and Lowest Terms

Multiplying and Dividing Fractions

Adding and Subtracting Like Fractions and Least Common Denominator

Adding and Subtracting Fractions with Unlike Denominators

Complex Fractions and Review of Operations

Solving Equations Containing Fractions

Operations on Mixed Numbers

Decimals

Introduction to Decimals

Adding and Subtracting Decimals

Multiplying Decimals and Circumference of a Circle

Dividing Decimals

Estimating and Order of Operations

Fractions and Decimals

Equations Containing Decimals

Square Roots and the Pythagorean Theorem

Percent

Ratio and Proportion

Percents, Decimals, and Fractions

Solving Percent Problems With Equations

Solving Percent Problems With Proportions

Applications of Percent

Percent and Problem Solving: Sales Tax, Commission, and Discount

Percent and Problem Solving: Interest

Graphs and Introduction to Statistics

Reading Pictographs, Bar Graphs, and Line Graphs

Reading Circle Graphs

Mean, Median and Mode

Counting and Introduction to Probability

Geometry and Measurement

Lines and Angles

Linear Measurement

Perimeter

Area and Volume

Weight and Mass

Capacity

Conversions Between the U.S. and Metric Systems and Temperature Conversions

Congruent and Similar Triangles

Real Numbers, Equations, Inequalities, and Problem Solving

Symbols and Sets of Numbers

Properties of Real Numbers

More on Solving Linear Equations

Problem Solving

Formulas and Problem Solving

Linear Inequalities and Problem Solving

Exponents and Polynomials Exponents

Negative Exponents and Scientific Notation

Introduction to Polynomials

Adding and Subtracting Polynomials

Multiplying Polynomials

Special Products

Dividing Polynomials

Factoring Polynomials

The greatest Common Factor

Factoring Trinomials of the Form x2 bx + c

Factoring Trinomials of the Form ax2 + bx + c

Factoring Trinomials by Grouping

Factoring By Special Products

Solving Quadratic Equations by Factoring

Quadratic Equations and Problem Solving

Rational Expressions

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator

Adding and Subtracting Rational Expressions with Different Denominators

Solving Equations Containing Rational Expressions

Rational Equations and Problem Solving

Simplifying Complex Fractions

Graphing Equations and Inequalities

The Rectangular Coordinate System

Graphing Linear Equations

Intercepts

Slope

Equations of Lines

Introduction to Functions

Graphing Linear Inequalities in Two Variables

Direct and Inverse Variation

Systems of Equations

Solving systems of Linear Equations by Graphing

Solving Systems of Linear Equations by Substitution

Solving Systems of Linear Equations by Addition

Systems of Linear Equations and Problem Solving

Roots and Radicals

Introduction to Radicals

Simplifying Radicals

Adding and Subtracting Radicals

Multiplying and Dividing Radicals

Solving Equations Containing Radicals

Radical Equations and Problem Solving

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 in Two Variables

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