Elementary and Intermediate Algebra Algebra Within Reach 6th Edition by Ron Larson – Ebook PDF Instant Download/Delivery: 9781285074672, 128507467X
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ISBN 10: 128507467X
ISBN 13: 9781285074672
Author: Ron Larson
Elementary and Intermediate Algebra: Algebra Within Reach
Elementary and Intermediate Algebra Algebra Within Reach 6th Table of contents:
Chapter 1. The Real Number System
1.1. Real Numbers
1.1a. Classifying Real Numbers and the Real Number Line
1.1b. Ordering Real Numbers
1.1c. Finding Absolute Value
1.1. Concept Summary: Ordering Real Numbers
1.1. Exercises Within Reach ®
1.2. Adding and Subtracting Integers
1.2a. Adding Integers Using a Number Line
1.2b. Adding Integers Algebraically
1.2c. Subtracting Integers Algebraically
1.2. Concept Summary: Adding and Subtracting Integers
1.2. Exercises Within Reach ®
1.3. Multiplying and Dividing Integers
1.3a. Multiplying Integers
1.3b. Dividing Integers
1.3c. Factors and Prime Numbers
1.3d. Summary of Rules and Definitions
1.3. Concept Summary: Multiplying and Dividing Integers
1.3. Exercises Within Reach ®
Mid-Chapter Quiz: Sections 1.1–1.3
Study Skills in Action. Keeping a Positive Attitude
1.4. Operations with Rational Numbers
1.4a. Rewriting Fractions
1.4b. Adding and Subtracting Fractions
1.4c. Multiplying and Dividing Fractions
1.4d. Operations with Decimals
1.4. Concept Summary: Operations with Rational Numbers
1.4. Exercises Within Reach ®
1.5. Exponents and Properties of Real Numbers
1.5a. Exponents
1.5b. Order of Operations
1.5c. Properties of Real Numbers
1.5. Concept Summary: Using the Order of Operations
1.5. Exercises Within Reach ®
Chapter Summary
Review Exercises
Chapter Test
Chapter 2. Fundamentals of Algebra
2.1. Writing and Evaluating Algebraic Expressions
2.1a. Variables and Algebraic Expressions
2.1b. Exponential Form
2.1c. Evaluating Algebraic Expressions
2.1. Concept Summary: Writing and Evaluating Algebraic Expressions
2.1. Exercises Within Reach®
2.2. Simplifying Algebraic Expressions
2.2a. Properties of Algebra
2.2b. Combining Like Terms
2.2c. Simplifying Algebraic Expressions
2.2d. Symbols of Grouping
2.2. Concept Summary: Simplifying Algebraic Expressions
2.2. Exercises Within Reach®
Mid-Chapter Quiz: Sections 2.1–2.2
Study Skills in Action. Absorbing Details Sequentially
2.3. Algebra and Problem Solving
2.3a. Constructing Verbal Models
2.3b. Translating Phrases
2.3c. Verbal Models with Hidden Operations
2.3d. Additional Problem-Solving Strategies
2.3. Concept Summary: Using Verbal Models to Write Algebraic Expressions
2.3. Exercises Within Reach®
2.4. Introduction to Equations
2.4a. Checking Solutions of Equations
2.4b. Forming Equivalent Equations
2.4c. Writing Equations
2.4. Concept Summary: Writing and Solving Equations
2.4. Exercises Within Reach®
Chapter Summary
Review Exercises
Chapter Test
Chapter 3. Equations, Inequalities, and Problem Solving
3.1. Solving Linear Equations
3.1a. Solving Linear Equations in Standard Form
3.1b. Solving Linear Equations in Nonstandard Form
3.1. Concept Summary: Solving Linear Equations
3.1. Exercises Within Reach ®
3.2. Equations that Reduce to Linear Form
3.2a. Equations Containing Symbols of Grouping
3.2b. Equations Involving Fractions
3.2c. Equations Involving Decimals
3.2. Concept Summary: Solving Equations
3.2. Exercises Within Reach ®
3.3. Problem Solving with Percents
3.3a. Percents
3.3b. The Percent Equation
3.3c. Markups and Discounts
3.3. Concept Summary: Using the Percent Equation
3.3. Exercises Within Reach ®
3.4. Ratios and Proportions
3.4a. Setting Up Ratios
3.4b. Unit Prices
3.4c. Solving Proportions
3.4. Concept Summary: Solving Proportions
3.4. Exercises Within Reach ®
Mid-Chapter Quiz: Sections 3.1–3.4
Study Skills in Action. Knowing Your Preferred Learning Modality
3.5. Geometric and Scientific Applications
3.5a. Using Formulas
3.5b. Solving Mixture Problems
3.5c. Solving Work-Rate Problems
3.5. Concept Summary: Solving Geometric and Scientific Applications
3.5. Exercises Within Reach ®
3.6. Linear Inequalities
3.6a. Intervals on the Real Number Line
3.6b. Solving Linear Inequalities
3.6. Concept Summary: Solving Linear Inequalities
3.6. Exercises Within Reach ®
3.7. Absolute Value Equations and Inequalities
3.7a. Solving Equations Involving Absolute Value
3.7b. Solving Inequalities Involving Absolute Value
3.7. Concept Summary: Solving Absolute Value Equations
3.7. Exercises Within Reach ®
Chapter Summary
Review Exercises
Chapter Test
Cumulative Test: Chapters 1–3 ®
Chapter 4. Graphs and Functions
4.1. Ordered Pairs And Graphs
4.1a. The Rectangular Coordinate System
4.1b. Ordered Pairs as Solutions of Equations
4.1c. Applications
4.1. Concept Summary: Using A Graphical Approach To Solve Problems
4.1. Exercises Within Reach ®
4.2. Graphs of Equations in Two Variables
4.2a. The Graph of an Equation in Two Variables
4.2b. Intercepts: Aids to Sketching Graphs
4.2c. Applications
4.2. Concept Summary: Graphing Equations in Two Variables
4.2. Exercises Within Reach®
4.3. Relations, Functions, and Graphs
4.3a. Relations
4.3b. Functions
4.3c. Function Notation
4.3d. The Domain and Range of a Function
4.3. Concept Summary: Relations and Functions
4.3. Exercises Within Reach®
Mid-Chapter Quiz: Sections 4.1–4.3
Study Skills in Action. Reading Your Textbook Like a Manual
4.4. Slope and Graphs of Linear Equations
4.4a. The Slope of a Line
4.4b. Slope as a Graphing Aid
4.4c. Parallel and Perpendicular Lines
4.4. Concept Summary: Finding the Slope of a Line
4.4. Exercises Within Reach®
4.5. Equations of Lines
4.5a. The Point-Slope Form of the Equation of a Line
4.5b. Equations of Horizontal and Vertical Lines
4.5c. Applications
4.5. Concept Summary: Writing Equations of Lines
4.5. Exercises Within Reach®
4.6. Graphs of Linear Inequalities
4.6a. Linear Inequalities in Two Variables
4.6b. The Graph of a Linear Inequality in Two Variables
4.6c. Applications
4.6. Concept Summary: Graphing Linear Inequalities
4.6. Exercises Withi Reach®
Chapter Summary
Review Exercises
Chapter Test
Chapter 5. Exponents and Polynomials
5.1. Integer Exponents and Scientific Notation
5.1a. Rules of Exponents
5.1b. Integer Exponents
5.1c. Scientific Notation
5.1. Concept Summary: Using Scientific Notation
5.1. Exercises Within Reach®
5.2. Adding and Subtracting Polynomials
5.2a. Basic Definitions
5.2b. Adding Polynomials
5.2c. Subtracting Polynomials
5.2. Concept Summary: Adding and Subtracting Polynomials
5.2. Exercises Within Reach®
Mid-Chapter Quiz: Sections 5.1–5.2
Study Skills in Action. Managing Test Anxiety
5.3. Multiplying Polynomials: Special Products
5.3a. Monomial Multipliers
5.3b. Multiplying Binomials
5.3c. Multiplying Polynomials
5.3d. Special Products
5.3. Concept Summary: Multiplying Two Binomials
5.3. Exercises Within Reach®
5.4. Dividing Polynomials and Synthetic Division
5.4a. Dividing a Polynomial by a Monomial
5.4b. Long Division
5.4c. Synthetic Division
5.4. Concept Summary: Dividing Polynomials
5.4. Exercises Within Reach®
Chapter Summary
Review Exercises
Chapter Test
Chapter 6. Factoring and Solving Equations
6.1. Factoring Polynomials with Common Factors
6.1a. Greatest Common Factor
6.1b. Common Monomial Factors
6.1c. Factoring by Grouping
6.1. Concept Summary: Factoring Polynomials by Grouping
6.1. Exercises Within Reach®
6.2. Factoring Trinomials
6.2a. Factoring Trinomials of the Form x 2 + b x + c
6.2b. Factoring Trinomials in Two Variables
6.2c. Factoring Completely
6.2. Concept Summary: Factoring Trinomials
6.2. Exercises Within Reach®
6.3. More About Factoring Trinomials
6.3a. Factoring Trinomials of the Form a x 2 + b x + c
6.3b. Factoring Completely
6.3c. Factoring Trinomials by Grouping
6.3. Concept Summary: Factoring Trinomials of the Form a x 2 + b x + c
6.3. Exercises Within Reach®
Mid-Chapter Quiz: Sections 6.1–6.3
Study Skills in Action. Being Confident
6.4. Factoring Polynomials with Special Forms
6.4a. Difference of Two Squares
6.4b. Factoring Completely
6.4c. Perfect Square Trinomials
6.4d. Sum or Difference of Two Cubes
6.4. Concept Summary: Factoring Polynomials with Special Forms
6.4. Exercises Within Reach®
6.5. Solving Polynomial Equations by Factoring
6.5a. The Zero-Factor Property
6.5b. Solving Quadratic Equations by Factoring
6.5c. Solving Higher-Degree Equations by Factoring
6.5d. Applications
6.5. Concept Summary: Solving Quadratic Equations by Factoring
6.5. Exercises Within Reach®
Chapter Summary
Review Exercises
Chapter Test
Cumulative Test: Chapters 4–6
Chapter 7. Rational Expressions, Equations, and Functions
7.1. Rational Expressions and Functions
7.1a. The Domain of a Rational Function
7.1b. Simplifying Rational Expressions
7.1c. Application
7.1. Concept Summary: Simplifying Rational Expressions
7.1. Exercises Within Reach ®
7.2. Multiplying and Dividing Rational Expressions
7.2a. Multiplying Rational Expressions
7.2b. Dividing Rational Expressions
7.2. Concept Summary: Multiplying and Dividing Rational Expressions
7.2. Exercises Within Reach ®
7.3. Adding and Subtracting Rational Expressions
7.3a. Adding or Subtracting with Like Denominators
7.3b. Adding or Subtracting with Unlike Denominators
7.3. Concept Summary: Adding and Subtracting Rational Expressions
7.3. Exercises Within Reach ®
Mid-Chapter Quiz: Sections 7.1–7.3
Study Skills in Action. Using a Test-Taking Strategy
7.4. Complex Fractions
7.4a. Complex Fractions
7.4b. Complex Fractions with Sums or Differences
7.4. Concept Summary: Simplifying Complex Fractions
7.4. Exercises Within Reach ®
7.5. Solving Rational Equations
7.5a. Equations Containing Constant Denominators
7.5b. Equations Containing Variable Denominators
7.5c. Application
7.5. Concept Summary: Solving Rational Equations
7.5. Exercises Within Reach ®
7.6. Applications and Variation
7.6a. Direct Variation
7.6b. Inverse Variation
7.6c. Joint Variation
7.6. Concept Summary: Variation
7.6. Exercises Within Reach ®
Chapter Summary
Review Exercises
Chapter Test
Chapter 8. Systems of Equations and Inequalities
8.1. Solving Systems of Equations by Graphing and Substitution
8.1a. Systems of Equations
8.1b. Solving a System of Linear Equations by Graphing
8.1c. The Method of Substitution
8.1d. Applications
8.1. Concept Summary: Solving Systems of Linear Equations by Substitution
8.1. Exercises Within Reach®
8.2. Solving Systems of Equations by Elimination
8.2a. The Method of Elimination
8.2b. The No-Solution and Many-Solutions Cases
8.2c. Application
8.2. Concept Summary: Solving Systems of Linear Equations by Elimination
8.2. Exercises Within Reach®
8.3. Linear Systems in Three Variables
8.3a. Row-Echelon Form
8.3b. The Method of Gaussian Elimination
8.3c. Application
8.3. Concept Summary: Solving Systems of Linear Equations by Gaussian Elimination
8.3. Exercises Within Reach®
Mid-Chapter Quiz: Sections 8.1–8.3
Study Skills in Action. Viewing Math as a Foreign Language
8.4. Matrices and Linear Systems
8.4a. Augmented and Coefficient Matrices
8.4b. Elementary Row Operations
8.4c. Solving a System of Equations
8.4. Concept Summary: Using Matrices to solve Systems of Linear Equations
8.4. Exercises Within Reach®
8.5. Determinants and Linear Systems
8.5a. The Determinant of a Matrix
8.5b. Cramer’s Rule
8.5c. Applications
8.5. Concept Summary: Finding the Determinant of a Matrix
8.5. Exercises Within Reach®
8.6. Systems of Linear Inequalities
8.6a. Systems of Linear Inequalities in Two Variables
8.6b. Application
8.6. Concept Summary: Graphing Systems of Linear Inequalities
8.6. Exercises Within Reach®
Chapter Summary
Review Exercises
Chapter Test
Chapter 9. Radicals and Complex Numbers
9.1. Radicals and Rational Exponents
9.1a. Roots and Radicals
9.1b. Rational Exponents
9.1c. Radical Functions
9.1. Concept Summary: Using Rational Exponents
9.1. Exercises Within Reach ®
9.2. Simplifying Radical Expressions
9.2a. Simplifying Radicals
9.2b. Rationalization Techniques
9.2c. Applications of Radicals
9.2. Concept Summary: Simplifying Radical Expressions
9.2. Exercises Within Reach ®
9.3. Adding and Subtracting Radical Expressions
9.3a. Adding and Subtracting Radical Expressions
9.3b. Applications
9.3. Concept Summary: Adding and Subtracting Radical Expressions
9.3. Exercises Within Reach ®
Mid-Chapter Quiz: Sections 9.1–9.3
Study Skills in Action. Studying in a Group
9.4. Multiplying and Dividing Radical Expressions
9.4a. Multiplying Rational Expressions
9.4b. Conjugates
9.4c. Dividing Radical Expressions
9.4. Concept Summary: Multiplying and Dividing Radical Expressions
9.4. Exercises Within Reach ®
9.5. Radical Equations and Applications
9.5a. Solving Radical Equations
9.5b. Applications
9.5. Concept Summary: Solving Radical Equations
9.5. Exercises Within Reach ®
9.6. Complex Numbers
9.6a. The Imaginary Unit i
9.6b. Complex Numbers
9.6c. Complex Conjugates
9.6. Concept Summary: Complex Numbers
9.6. Exercises Within Reach ®
Chapter Summary
Review Exercises
Chapter Test
Cumulative Test: Chapters 7–9
Chapter 10. Quadratic Equations, Functions, and Inequalities
10.1. Solving Quadratic Equations
10.1a. Solving Quadratic Equations by Factoring
10.1b. The Square Root Property
10.1c. Equations of Quadratic Form
10.1. Concept Summary: Solving Quadratic Equations by Using the Square Root Property
10.1. Exercises Within Reach ®
10.2. Completing the Square
10.2a. Constructing Perfect Square Trinomials
10.2b. Solving Equations by Completing the Square
10.2. Concept Summary: Solving Quadratic Equations by Completing the Square
10.2. Exercises Within Reach ®
10.3. The Quadratic Formula
10.3a. The Quadratic Formula
10.3b. The Discriminant
10.3c. Writing Quadratic Equations from Solutions
10.3. Concept Summary: Solving Quadratic Equations by Using the Quadratic Formula
10.3. Exercises Within Reach ®
Mid-Chapter Quiz: Sections 10.1–10.3
Study Skills in Action. Improving Your Memory
10.4. Graphs of Quadratic Functions
10.4a. Graphs of Quadratic Functions
10.4b. Writing an Equation of a Parabola
10.4. Concept Summary: Graphing Quadratic Functions
10.4. Exercises Within Reach ®
10.5. Applications of Quadratic Equations
10.5a. Applications
10.5. Concept Summary: Using Quadratic Equations to Solve Problems
10.5. Exercises Within Reach ®
10.6. Quadratic and Rational Inequalities
10.6a. Test Intervals and Quadratic Inequalities
10.6b. Rational Inequalities
10.6c. Application
10.6. Concept Summary: Solving Quadratic and Rational Inequalities
10.6. Exercises Within Reach ®
Chapter Summary
Review Exercises
Chapter Test
Chapter 11. Exponential and Logarithmic Functions
11.1. Exponential Functions
11.1a. Exponential Functions
11.1b. The Natural Exponential Function
11.1c. Applications
11.1. Concept Summary: Graphing Exponential Functions
11.1. Exercises Within Reach®
11.2. Composite and Inverse Functions
11.2a. Composite Functions
11.2b. Inverse Functions
11.2c. Graphs of Inverse Functions
11.2. Concept Summary: Finding Inverse Functions
11.2. Exercises Within Reach®
11.3. Logarithmic Functions
11.3a. Logarithmic Functions
11.3b. The Natural Logarithmic Function
11.3c. Change of Base
11.3. Concept Summary: Evaluating Logarithms
11.3. Exercises Within Reach®
Mid-Chapter Quiz: Sections 11.1–11.3
Study Skills in Action. Making the Most of Class Time
11.4. Properties of Logarithms
11.4a. Properties of Logarithms
11.4b. Rewriting Logarithmic Expressions
11.4c. Applications
11.4. Concept Summary: Using Properties of Logarithms
11.4. Exercises Within Reach®
11.5. Solving Exponential and Logarithmic Equations
11.5a. Using One-to-One Properties
11.5b. Using Inverse Properties
11.5c. Application
11.5. Concept Summary: Solving Exponential and Logarithmic Equations
11.5. Exercise Within Reach®
11.6. Applications
11.6a. Compound Interest
11.6b. Growth and Decay
11.6c. Intensity Models
11.6. Concept Summary: Using Exponential and Logarithmic Equations to Solve Problems
11.6. Exercises Within Reach®
Chapter Summary
Review Exercises
Chapter Test
Chapter 12. Conics
12.1. Circles and Parabolas
12.1a. The Conics
12.1b. Circles
12.1c. Parabolas
12.1. Concept Summary: Writing and Graphing Equations of Circle
12.1. Exercises Within Reach®
12.2. Ellipses
12.2a. Ellipses Centered at the Origin
12.2b. Ellipses Centered at ( h , k )
12.2. Concept Summary: Writing Equations of Ellipses
12.2. Exercises Within Reach®
Mid-Chapter Quiz: Sections 12.1–12.2
Study Skills in Action. Avoiding Test-Taking Errors
12.3. Hyperbolas
12.3a. Hyperbolas Centered at the Origin
12.3b. Hyperbolas Centered at ( h , k )
12.3. Concept Summary: Sketching Hyperbola
12.3. Exercises Within Reach®
12.4. Solving Nonlinear Systems of Equations
12.4a. Solving Nonlinear Systems of Equations by Graphing
12.4b. Solving Nonlinear Systems of Equations by Substitution
12.4c. Solving Nonlinear Systems of Equations by Elimination
12.4. Concept Summary: Solving Nonlinear Systems of Equations
12.4. Exercises Within Reach®
Chapter Summary
Review Exercises
Chapter Test
Cumulative Test: Chapters 10-12
Chapter 13. Sequences, Series, and the Binomial Theorem
13.1. Sequences and Series
13.1a. Sequences
13.1b. Finding the n th term of a Sequence
13.1c. Series
13.1. Concept Summary: Finding the n th Term of a Sequence
13.1. Exercises Within Reach®
13.2. Arithmetic Sequences
13.2a. Arithmetic Sequences
13.2b. The Partial Sum of an Arithmetic Sequence
13.2. Concept Summary: Writing Formulas for Arithmetic Sequences
13.2. Exercises Within Reach®
Mid-Chapter Quiz: Sections 13.1–13.2
Study Skills in Action. Preparing for the Final Exam
13.3. Geometric Sequences
13.3a. Geometric Sequences
13.3b. The Sum Of a Geometric Sequence
13.3. Concept Summary: Finding Sums Of Geometric Sequences
13.3. Exercises Within Reach®
13.4. The Binomial Theorem
13.4a. Binomial Coefficients
13.4b. Pascal’s Triangle
13.4c. Binomial Expansions
13.4. Concept Summary: Using Pascal’s Triangle to Expand Binomials
13.4. Exercises Within Reach®
Chapter Summary
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