Solution Manual for Beginning and Intermediate Algebra, 5th Edition, Julie Miller, Molly O’Neill Nancy Hyde
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Solution Manual for Beginning and Intermediate Algebra, 5th Edition, Julie Miller, Molly O’Neill, Nancy Hyde,
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Solution Manual for Beginning and Intermediate Algebra, 5th Edition, Julie Miller, Molly O’Neill, Nancy Hyde,
Table of Contents
Chapter 1: Set of Real Numbers
1.1 Fractions
1.2 Introduction to Algebra and the Set of Real Numbers
1.3 Exponents, Square Roots, and Order of Operations
1.4 Addition of Real Numbers
1.5 Subtraction of Real Numbers
Problem Recognition Exercises—Addition and Subtraction of Real Numbers
1.6 Multiplication and Division of Real Numbers
Problem Recognition Exercises—Adding, Subtracting, Multiplying and Dividing Real Numbers
1.7 Properties of Real Numbers and Simplifying Expressions
Chapter 2: Linear Equations and Inequalities
2.1 Addition, Subtraction, Multiplication, and Division Properties of Equality
2.2 Solving Linear Equations
2.3 Linear Equations: Clearing Fractions and Decimals
Problem Recognition Exercises—Equations vs.Expressions
2.4 Applications of Linear Equations: Introduction to Problem Solving
2.5 Applications Involving Percents
2.6 Formulas and Applications of Geometry
2.7 Mixture Applications and Uniform Motion
2.8 Linear Inequalities
Chapter 3: Graphing Linear Equations in Two Variables
3.1 Rectangular Coordinate System
3.2 Linear Equations in Two Variables
3.3 Slope of a Line and Rate of Change
3.4 Slope-Intercept Form of a Linear Equation
Problem Recognition Exercises-Linear Equations in Two Variables
3.5 Point-Slope Formula
3.6 Applications of Linear Equations
Chapter 4: Systems of Linear Equations in Two Variables
4.1 Solving Systems of Equations by the Graphing Method
4.2 Solving Systems of Equations by the Substitution Method
4.3 Solving Systems of Equations by the Addition Method
Problem Recognition Exercises: Systems of Equations
4.4 Applications of Linear Equations in Two Variables
4.5 Systems of Linear Equations in Three Variables
4.6 Applications of Systems of Linear Equations in Three Variables
Chapter 5: Polynomials and Properties of Exponents
5.1 Multiplying and Dividing Expressions with Common Bases
5.2 More Properties of Exponents
5.3 Definitions of b^0 and b^-n
Problem Recognition Exercises-Properties of Exponents
5.4 Scientific Notation
5.5 Addition and Subtraction of Polynomials
5.6 Multiplication of Polynomials and Special Products
5.7 Division of Polynomials
Problem Recognition Exercises-Operations on Polynomials
Chapter 6: Factoring Polynomials
6.1 Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials of the Form x^2 + bx + c
6.3 Factoring Trinomials: Trial-and-Error Method
6.4 Factoring Trinomials: AC-Method
6.5 Difference of Squares and Perfect Square Trinomials
6.6 Sum and Difference of Cubes
Problem Recognition Exercises-Factoring Strategy
6.7 Solving Equations Using the Zero Product Rule
Problem Recognition Exercises-Polynomial Expressions Versus Polynomial Equations
6.8 Applications of Quadratic Equations
Chapter 7: Rational Expressions and Equations
7.1 Introduction to Rational Expressions
7.2 Multiplication and Division of Rational Expressions
7.3 Least Common Denominator
7.4 Addition and Subtraction of Rational Expressions
Problem Recognition Exercises-Operations of Rational Expressions
7.5 Complex Fractions
7.6 Rational Equations
Problem Recognition Exercises-Comparing Rational Equations and Rational Expressions
7.7 Applications of Rational Equations and Proportions
Chapter 8: Relations and Functions
8.1 Introduction of Relations
8.2 Introduction of Functions
8.3 Graphs of Functions
Problem Recognition Exercises: Characteristics of Relations
8.4 Alebra of Functions and Composition
8.5 Variation
Chapter 9: More Equations and Inequalities
9.1 Compound Inequalities
9.2 Polynomial and Rational Enequalities
9.3 Absolute Value Equations
9.4 Absolute Value Inequalities
Problem Recognition Exercises: Equations and Inequalities
9.5 Linear Inequalities and Systems of Linear Inequalities in Two Variables
Chapter 10: Radicals and Complex Numbers
10.1 Definition of an nth Root
10.2 Rational Exponents
10.3 Simplifying Radical Expressions
10.4 Addition and Subtraction of Radicals
10.5 Multiplication of Radicals
Problem Recognition Exercises: Simplifying Radical Expressions
10.6 Division of Radicals and Rationalization
10.7 Solving Radical Equations
10.8 Complex Numbers
Chapter 11: Quadratic Equations and Functions
11.1 Square Root Property and Completing the Square
11.2 Quadratic Formula
11.3 Equations in Quadratic Form
Problem Recognition Exercises: Quadratic and Quadratic Type Equations
11.4 Graphs of Quadratic Functions
11.5 Vertex of a Parabola: Applications and Modeling
Chapter 12: Exponential and Logarithmic Functions and Applications
12.1 Inverse Functions
12.2 Exponential Functions
12.3 Logarithmic Functions
Problem Recognition Exercises: Identifying Graphs of Functions
12.4 Properties of Logarithms
12.5 The Irrational Number e and change of Base
Problem Recognition Exercises: Logarithmic and Exponential Forms
12.6 Logarithmic and Exponential Equations and Applications
Chapter 13: Conic Sections
13.1 Distance Formula, Midpoint Formula, and Circles
13.2 More on the Parabola
13.3 The Ellipse and Hyperbola
Problem Recognition Exercises: Formulas and Conic Sections
13.4 Nonlinear Systems of Equation in Two Variables
13.5 Nonlinear Inequalities and Systems of Inequalities in Two Variables
Chapter 14: Binomial Expansions, Sequences, and Series
14.1 Binomial Expansions
14.2 Sequences and Series
14.3 Arithmetic Sequences and Series
14.4 Geometric Sequences and Series
Problem Recognition Exercises: Identifying Arithmetic and Geometric Series
Chapter 15 (Online): Transformations, Piecewise-Defined Functions, and Probability
15.1 Transformations of Graphs and Piecewise-Defined Functions
15.2 Fundamentals of Counting
15.3 Introduction to Probability
Additional Topics Appendix
A.1 Additional Factoring
A.2 Mean, Median, and Mode
A.3 Introduction to Geometry
A.4 Solving Systems of Linear Equations Using Matrices
A.5 Determinants and Cramer’s Rule
Online Appendix B
B.1 Review of the Set of Real Numbers
B.2 Review of Linear Equations and Linear Inequalities
B.3 Review of Graphing
B.4 Review of Systems of Linear Equations in Two Variables
B.5 Review of Polynomials and Properties of Exponents
B.6 Review of Factoring Polynomials and Solving Quadratic Equations
B.7 Review of Rational Expressions
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