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Full Description
Show students how to apply traditional mathematical skills in real-world contexts with BEGINNING ALGEBRA: CONNECTING CONCEPTS THROUGH APPLICATIONS, 2nd Edition. Concepts become real and vivid as the authors draw from real data to show students why and how to apply math. Through conceptual explorations, skill building and applications, this text's approach helps students master concepts, and develop problem solving and communication skills. The authors integrate algebraic techniques, graphing, the use of data in tables, and writing sentences to communicate solutions to application problems. Problems that build strong algebra skills support applications while completing models by hand helps students focus on the characteristics of each function type. Accompanied by WebAssign, students will be able to enhance their learning experience while building confidence.
Contents
R. REVIEW OF PREALGEBRA.
Operations with Integers. Operations with Fractions. Prime Numbers and Prime Factorization. Operations with Decimals. Operations with Percents. The Real Number System.
1. BUILDING BLOCKS OF ALGEBRA.
Exponents, Order of Operations, and Properties of Real Numbers. Algebra and Working with Variables. Simplifying Expressions. Graphs and the Rectangular Coordinate System.
2. LINEAR EQUATIONS AND INEQUALITIES WITH ONE VARIABLE.
Addition and Subtraction Properties of Equality. Multiplication and Division Properties of Equality. Solving Equations with Variables on Both Sides. Solving and Graphing Linear Inequalities on a Number Line.
3. LINEAR EQUATIONS WITH TWO VARIABLES.
Graphing Equations with Two Variables. Finding and Interpreting Slope. Slope Intercept Form of Lines. Linear Equations and Their Graphs. Finding Equations of Lines. Modeling Linear Data.
4. SYSTEMS OF LINEAR EQUATIONS.
Identifying Systems of Linear Equations. Solving Systems Using the Substitution Method. Solving Systems Using the Elimination Method. Solving Linear Inequalities in Two Variables Graphically. Systems of Linear Inequalities.
5. EXPONENTS AND POLYNOMIALS.
Rules for Exponents. Negative Exponents and Scientific Notation. Adding and Subtracting Polynomials. Multiplying Polynomials. Dividing a Polynomials.
6. FACTORING AND QUADRATIC EQUATIONS.
What It Means to Factor. Factoring Trinomials. Factoring Special Forms. Solving Quadratic Equations by Factoring.
7. RATIONAL EXPRESSIONS AND EQUATIONS.
The Basics of Rational Expressions and Equations. Multiplication and Division of Rational Expressions. Addition and Subtraction of Rational Expressions. Solving Rational Equations. Proportions, Similar Triangles, and Variation.
8. RADICAL EXPRESSIONS AND EQUATIONS.
From Squaring a Number to Roots and Radicals. Basic Operations with Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Radical Equations.
9. MODELING DATA.
Graphing Quadratic Equations. Solving Quadratic Equations Using the Square-Root Property. Solving Quadratic Equations by Completing the Square and Quadratic Formula. Graphing Quadratic Equations including Intercepts. Working with Quadratic Models. The Basics of Functions.
Appendices.
Geometry Formulas.
Unit Conversions.
Answers to Odd Problems.
Answers to Example Practice Problems.
