Intermediate Algebra: Concepts and Applications 10th Edition by Marvin Bittinger, ISBN-13: 978-0134497174

Intermediate Algebra: Concepts and Applications 10th Edition by Marvin Bittinger, ISBN-13: 978-0134497174

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• Publisher: ‎ Pearson; 10th edition (February 17, 2017)
• Language: ‎ English
• 848 pages
• ISBN-10: 0134497171
• ISBN-13: ‎ 978-0134497174

For courses in Intermediate Algebra.

Understanding and Applying Mathematical Concepts.

The goal of the Bittinger Concepts and Applications Series is to help today’s student learn and retain mathematical concepts. This proven program prepares students for the transition from skills-oriented elementary algebra courses to more concept-oriented college-level mathematics courses. This requires the development of critical-thinking skills: to reason mathematically, to communicate mathematically, and to identify and solve mathematical problems.

Table of Contents:

Contents
A Key to the Icons in the Exercise Sets
Preface
Understanding and Applying Concepts
Guided Learning Path
Resources for Success
Chapter 1 Algebra and Problem Solving
1.1 Some Basics of Algebra
A. Translating to Algebraic Expressions
Solution
Your Turn
B. Evaluating Algebraic Expressions
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
C. Sets of Numbers
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
1.1 Exercise Set for Extra Help
Vocabulary and Reading Check
A. Translating to Algebraic Expressions
B. Evaluating Algebraic Expressions
C. Sets of Numbers
Synthesis
1.2 Operations and Properties of Real Numbers
A. Absolute Value
Solution
Your Turn
B. Inequalities
Solution
Your Turn
C. Addition, Subtraction, and Opposites
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
D. Multiplication, Division, and Reciprocals
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
E. The Commutative, Associative, and Distributive Laws
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
1.2 Exercise Set for Extra Help
Vocabulary and Reading Check
A. Absolute Value
B. Inequalities
C. Addition, Subtraction, and Opposites
D. Multiplication, Division, and Reciprocals
C, D. Real-Number Operations
E. The Commutative, Associative, and Distributive Laws
Synthesis
1.3 Solving Equations
A. Equivalent Equations
Solution
Your Turn
Solution
Your Turn
B. The Addition and Multiplication Principles
Solution
Your Turn
Solution
Your Turn
C. Combining Like Terms
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
D. Types of Equations
Solution
Your Turn
1.3 Exercise Set for Extra Help
Vocabulary and Reading Check
Concept Reinforcement
A. Equivalent Equations
B. The Addition and Multiplication Principles
C. Combining Like Terms
A, B, C. Solving Linear Equations
D. Types of Equations
Synthesis
Mid-Chapter Review
Guided Solutions
Solution
Solution
Mixed Review
1.4 Introduction to Problem Solving
A. The Five-Step Strategy
B. Problem Solving
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
1.4 Exercise Set for Extra Help
Vocabulary and Reading Check
A. The Five-Step Strategy
B. Problem Solving
Synthesis
1.5 Formulas, Models, and Geometry
A. Solving Formulas
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Formulas as Models
Solution
Your Turn
Solution
Your Turn
1.5 Exercise Set for Extra Help
Vocabulary and Reading Check
A. Solving Formulas
B. Formulas as Models
Synthesis
1.6 Properties of Exponents
A. The Product Rule and the Quotient Rule
Solution
Your Turn
Solution
Your Turn
B. The Zero Exponent
Solution
Your Turn
C. Negative Integers as Exponents
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
D. Simplifying (am)n
Solution
Your Turn
E. Raising a Product or a Quotient to a Power
Solution
Your Turn
Solution
Your Turn
1.6 Exercise Set for Extra Help
Vocabulary and Reading Check
A. The Product Rule and the Quotient Rule
B. The Zero Exponent
C. Negative Integers as Exponents
D. Simplifying (am)n
E. Raising a Product or a Quotient to a Power
Synthesis
1.7 Scientific Notation
A. Conversions
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Multiplying, Dividing, and Significant Digits
Solution
Your Turn
Solution
Your Turn
C. Scientific Notation in Problem Solving
Solution
Your Turn
Solution
Your Turn
1.7 Exercise Set for Extra Help
Vocabulary and Reading Check
Concept Reinforcement
A. Conversions
B. Multiplying, Dividing, and Significant Digits
C. Scientific Notation in Problem Solving
Synthesis
Chapter 1 Resources
Translating for Success
Decision Making Connection (Use after Section 1.5.)
Study Summary
Review Exercises: Chapter 1
Concept Reinforcement
Synthesis
Test: Chapter 1
Synthesis
Chapter 2 Graphs, Functions, and Linear Equations
2.1 Graphs
A. Points and Ordered Pairs
Solution
Your Turn
B. Quadrants and Scale
Solution
Your Turn
C. Solutions of Equations
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
D. Nonlinear Equations
Solution
Your Turn
Solution
Your Turn
2.1 Exercise Set for Extra Help
Vocabulary and Reading Check
A. Points and Ordered Pairs
B. Quadrants and Scale
C. Solutions of Equations
D. Nonlinear Equations
Skill Review
Synthesis
2.2 Functions
A. Domain and Range
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Function Notation and Graphs
Solution
Your Turn
Solution
Your Turn
C. Function Notation and Equations
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
D. Piecewise-Defined Functions
Solution
Your Turn
2.2 Exercise Set for Extra Help
Vocabulary and Reading Check
A. Domain and Range
B. Function Notation and Graphs
C. Function Notation and Equations
D. Piecewise-Defined Functions
Skill Review
Synthesis
2.3 Linear Functions: Slope, Graphs, and Models
A. Slope–Intercept Form
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Applications
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
2.3 Exercise Set for Extra Help
Vocabulary and Reading Check
A. Slope–Intercept Form
B. Applications
Skill Review
Synthesis
2.4 Another Look at Linear Graphs
A. Graphing Horizontal Lines and Vertical Lines
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Parallel Lines and Perpendicular Lines
Solution
Your Turn
Solution
Your Turn
C. Graphing Using Intercepts
Solution
Your Turn
Solution
Your Turn
D. Solving Equations Graphically
Solution
Your Turn
Solution
Your Turn
E. Recognizing Linear Equations
Solution
Your Turn
2.4 Exercise Set for Extra Help
Vocabulary and Reading Check
A. Graphing Horizontal Lines and Vertical Lines
B. Parallel Lines and Perpendicular Lines
C. Graphing Using Intercepts
D. Solving Equations Graphically
E. Recognizing Linear Equations
Skill Review
Synthesis
Mid-Chapter Review
Guided Solutions
Solution
Solution
Mixed Review
2.5 Equations of Lines and Modeling
A. Point–Slope Form
Solution
Your Turn
Solution
Your Turn
B. Finding the Equation of a Line
Given the Slope and the y-Intercept
Solution
Your Turn
Given the Slope and a Point or Given Two Points
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Horizontal Lines or Vertical Lines
Solution
Your Turn
C. Interpolation and Extrapolation
Solution
Your Turn
D. Linear Functions and Models
Solution
Your Turn
2.5 Exercise Set for Extra Help
Vocabulary and Reading Check
A. Point–Slope Form
B. Finding the Equation of a Line
C. Interpolation and Extrapolation
D. Linear Functions and Models
Skill Review
Synthesis
2.6 The Algebra of Functions
A. The Sum, Difference, Product, or Quotient of Two Functions
Solution
Your Turn
Solution
Your Turn
B. Domains and Graphs
Solution
Your Turn
Solution
Your Turn
2.6 Exercise Set for Extra Help
Vocabulary and Reading Check
A. The Sum, Difference, Product, or Quotient of Two Functions
B. Domains and Graphs
Skill Review
Synthesis
Chapter 2 Resources
Visualizing for Success
Decision Making Connection (Use after Section 2.6.)
Study Summary
Review Exercises: Chapter 2
Concept Reinforcement
Synthesis
Test: Chapter 2
Synthesis
Cumulative Review: Chapters 1–2
Synthesis
Chapter 3 Systems of Linear Equations and Problem Solving
3.1 Systems of Equations in Two Variables
A. Translating
Solution
Your Turn
Solution
Your Turn
B. Identifying Solutions
Solution
Your Turn
C. Solving Systems Graphically
Solution
Your Turn
3.1 Exercise Set For Extra Help
Vocabulary and Reading Check
B. Identifying Solutions
C. Solving Systems Graphically
A. Translating
Skill Review
Synthesis
3.2 Solving by Substitution or Elimination
A. The Substitution Method
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. The Elimination Method
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
3.2 Exercise Set For Extra Help
Vocabulary and Reading Check
Concept Reinforcement
A. The Substitution Method
B. The Elimination Method
A, B. The Substitution and Elimination Methods
Skill Review
Synthesis
3.3 Solving Applications: Systems of Two Equations
A. Applications
Solution
Your Turn
B. Total-Value Problems and Mixture Problems
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
C. Motion Problems
Solution
Your Turn
Solution
Your Turn
3.3 Exercise Set For Extra Help
Vocabulary and Reading Check
A. Applications
B. Total-Value Problems and Mixture Problems
C. Motion Problems
A. Applications
Skill Review
Synthesis
3.4 Systems of Equations in Three Variables
A. Identifying Solutions
Solution
Your Turn
B. Solving Systems in Three Variables
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
C. Dependency, Inconsistency, and Geometric Considerations
Solution
Your Turn
Solution
Your Turn
3.4 Exercise Set For Extra Help
Vocabulary and Reading Check
A. Identifying Solutions
B, C. Solving Systems in Three Variables
Skill Review
Synthesis
Mid-Chapter Review
Guided Solutions
Solution
Solution
Mixed Review
3.5 Solving Applications: Systems of Three Equations
A. Applications of Three Equations in Three Unknowns
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
3.5 Exercise Set For Extra Help
Vocabulary and Reading Check
A. Applications of Three Equations in Three Unknowns
Skill Review
Synthesis
3.6 Elimination Using Matrices
A. Matrices and Systems
Solution
Your Turn
Solution
Your Turn
3.6 Exercise Set For Extra Help
Vocabulary and Reading Check
A. Matrices and Systems
Skill Review
Synthesis
3.7 Determinants and Cramer’s Rule
A. Determinants of 2 × 2 Matrices
Solution
Your Turn
B. Cramer’s Rule: 2 × 2 Systems
Solution
Your Turn
C. Determinants of 3 × 3 Matrices
Solution
Your Turn
D. Cramer’s Rule: 3 × 3 Systems
Solution
Your Turn
3.7 Exercise Set For Extra Help
Vocabulary and Reading Check
A, C. Determinants
B, D. Cramer’s Rule
Skill Review
Synthesis
3.8 Business and Economics Applications
A. Break-Even Analysis
Solution
Your Turn
B. Supply and Demand
Solution
Your Turn
3.8 Exercise Set For Extra Help
Vocabulary and Reading Check
A. Break-Even Analysis
B. Supply and Demand
Skill Review
Synthesis
Chapter 3 Resources
Visualizing for Success
Decision Making Connection (Use after Section 3.8.)
Study Summary
Review Exercises: Chapter 3
Concept Reinforcement
Synthesis
Test: Chapter 3
Synthesis
Cumulative Review: Chapters 1–3
Synthesis
Chapter 4 Inequalities and Problem Solving
4.1 Inequalities and Applications
A. Solutions of Inequalities
Solution
Your Turn
B. Interval Notation
Solution
Your Turn
C. The Addition Principle for Inequalities
Solution
Your Turn
D. The Multiplication Principle for Inequalities
Solution
Your Turn
E. Using the Principles Together
Solution
Your Turn
Solution
Your Turn
F. Problem Solving
Solution
Your Turn
Solution
Your Turn
4.1 Exercise Set for Extra Help
Vocabulary and Reading Check
Concept Reinforcement
A. Solutions of Inequalities
B. Interval Notation
C. The Addition Principle for Inequalities
D. The Multiplication Principle for Inequalities
E. Using the Principles Together
F. Problem Solving
Skill Review
Synthesis
4.2 Intersections, Unions, and Compound Inequalities
A. Intersections of Sets and Conjunctions of Sentences
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Unions of Sets and Disjunctions of Sentences
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
C. Interval Notation and Domains
Solution
Your Turn
Solution
Your Turn
4.2 Exercise Set for Extra Help
Vocabulary and Reading Check
Concept Reinforcement
A, B. Intersections of Sets and Unions of Sets
A, B. Conjunctions of Sentences and Disjunctions of Sentences
C. Interval Notation and Domains
Skill Review
Synthesis
4.3 Absolute-Value Equations and Inequalities
A. Equations with Absolute Value
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Method 1
Method 2
Your Turn
Solution
Your Turn
B. Inequalities with Absolute Value
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
4.3 Exercise Set for Extra Help
Vocabulary and Reading Check
Concept Reinforcement
A. Equations with Absolute Value
B. Inequalities with Absolute Value
Skill Review
Synthesis
Mid-Chapter Review
Guided Solutions
Solution
Solution
Mixed Review
4.4 Inequalities in Two Variables
A. Graphs of Linear Inequalities
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Systems of Linear Inequalities
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
4.4 Exercise Set for Extra Help
Vocabulary and Reading Check
A. Graphs of Linear Inequalities
B. Systems of Linear Inequalities
Skill Review
Synthesis
4.5 Applications Using Linear Programming
A. Linear Programming
Solution
Your Turn
Solution
Your Turn
4.5 Exercise Set for Extra Help
Vocabulary and Reading Check
A. Linear Programming
Skill Review
Synthesis
Chapter 4 Resources
Visualizing for Success
Decision Making Connection (Use after Section 4.1.)
Study Summary
Review Exercises: Chapter 4
Concept Reinforcement
Synthesis
Test: Chapter 4
Synthesis
Cumulative Review: Chapters 1–4
Synthesis
Chapter 5 Polynomials and Polynomial Functions
5.1 Introduction to Polynomials and Polynomial Functions
A. Terms and Polynomials
Solution
Your Turn
B. Degree and Coefficients
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
C. Polynomial Functions
Solution
Your Turn
Solution
Your Turn
D. Adding Polynomials
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
E. Opposites and Subtraction
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
5.1 Exercise Set For Extra Help
Vocabulary and Reading Check
A. Terms and Polynomials
B. Degree and Coefficients
C. Polynomial Functions
D. Adding Polynomials
E. Opposites and Subtraction
Skill Review
Synthesis
5.2 Multiplication of Polynomials
A. Multiplying Monomials
Solution
Your Turn
B. Multiplying Monomials and Binomials
Solution
Your Turn
Solution
Your Turn
C. Multiplying Any Two Polynomials
Solution
Your Turn
Solution
Your Turn
D. The Product of Two Binomials: FOIL
Solution
Your Turn
E. Squares of Binomials
Solution
Your Turn
F. Products of Sums and Differences
Solution
Your Turn
Solution
Your Turn
G. Function Notation
Solution
Your Turn
5.2 Exercise Set For Extra Help
Vocabulary and Reading Check
A. Multiplying Monomials
B. Multiplying Monomials and Binomials
C. Multiplying Any Two Polynomials
D. The Product of Two Binomials: FOIL
E. Squares of Binomials
F. Products of Sums and Differences
C, D, E, F. Multiplying Polynomials
G. Function Notation
Skill Review
Synthesis
5.3 Common Factors and Factoring by Grouping
A. Terms with Common Factors
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Factoring by Grouping
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
5.3 Exercise Set For Extra Help
Vocabulary and Reading Check
A. Terms with Common Factors
B. Factoring by Grouping
Skill Review
Synthesis
5.4 Factoring Trinomials
A. Factoring Trinomials of the Type x2 + bx + c
Constant Term Positive
Solution
Your Turn
Solution
Your Turn
Constant Term Negative
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Factoring Trinomials of the Type ax2 + bx + c, a ≠ 1
Method 1: Factoring with FOIL
Solution
Your Turn
Solution
Your Turn
Method 2: The Grouping Method
Solution
Your Turn
Solution
Your Turn
5.4 Exercise Set For Extra Help
Vocabulary and Reading Check
A. Factoring Trinomials of the Type x2 + bx + c
B. Factoring Trinomials of the Type ax2 + bx + c, a ≠ 1
Skill Review
Synthesis
Mid-Chapter Review
Guided Solutions
Mixed Review
5.5 Factoring Perfect-Square Trinomials and Differences of Squares
A. Perfect-Square Trinomials
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Differences of Squares
Solution
Your Turn
Solution
Your Turn
C. More Factoring by Grouping
Solution
Your Turn
Solution
Your Turn
5.5 Exercise Set For Extra Help
Vocabulary and Reading Check
A. Perfect-Square Trinomials
B. Differences of Squares
C. More Factoring by Grouping
Skill Review
Synthesis
5.6 Factoring Sums or Differences of Cubes
A. Factoring Sums or Differences of Cubes
Solution
Your Turn
Solution
Your Turn
5.6 Exercise Set For Extra Help
Vocabulary and Reading Check
A. Factoring Sums or Differences of Cubes
Skill Review
Synthesis
5.7 Factoring: A General Strategy
A. Mixed Factoring
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
5.7 Exercise Set For Extra Help
Vocabulary and Reading Check
Concept Reinforcement
A. Mixed Factoring
Skill Review
Synthesis
5.8 Applications of Polynomial Equations
A. The Principle of Zero Products
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Problem Solving
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
5.8 Exercise Set For Extra Help
Vocabulary and Reading Check
A. The Principle of Zero Products
B. Problem Solving
Skill Review
Synthesis
Chapter 5 Resources
Visualizing for Success
Decision Making Connection (Use after Section 5.8.)
Study Summary
Review Exercises: Chapter 5
Concept Reinforcement
Synthesis
Test: Chapter 5
Synthesis
Cumulative Review: Chapters 1–5
Synthesis
Chapter 6 Rational Expressions, Equations, and Functions
6.1 Rational Expressions and Functions: Multiplying and Dividing
A. Rational Functions
Solution
Your Turn
B. Simplifying Rational Expressions and Functions
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Canceling
C. Multiplying and Simplifying
Solution
Your Turn
Solution
Your Turn
D. Dividing and Simplifying
Solution
Your Turn
Solution
Your Turn
6.1 Exercise Set for Extra Help
Vocabulary and Reading Check
Concept Reinforcement
A. Rational Functions
B. Simplifying Rational Expressions and Functions
C. Multiplying and Simplifying
D. Dividing and Simplifying
C, D. Multiplying and Dividing
Skill Review
Synthesis
6.2 Rational Expressions and Functions: Adding and Subtracting
A. When Denominators Are the Same
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. When Denominators Are Different
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
6.2 Exercise Set for Extra Help
Vocabulary and Reading Check
A. When Denominators Are the Same
B. When Denominators Are Different
Skill Review
Synthesis
6.3 Complex Rational Expressions
A. Method 1: Multiplying by 1
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Method 2: Dividing Two Rational Expressions
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
6.3 Exercise Set for Extra Help
Vocabulary and Reading Check
A, B. Simplifying Complex Rational Expressions
Skill Review
Synthesis
6.4 Rational Equations
A. Solving Rational Equations
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
6.4 Exercise Set for Extra Help
Vocabulary and Reading Check
Concept Reinforcement
A. Solving Rational Equations
Skill Review
Synthesis
Mid-Chapter Review
Guided Solutions
Solution
Solution
Mixed Review
6.5 Solving Applications Using Rational Equations
A. Problems Involving Work
Solution
Your Turn
Solution
Your Turn
B. Problems Involving Motion
Solution
Your Turn
Solution
Your Turn
6.5 Exercise Set for Extra Help
Vocabulary and Reading Check
Concept Reinforcement
A. Problems Involving Work
B. Problems Involving Motion
Skill Review
Synthesis
6.6 Division of Polynomials
A. Dividing by a Monomial
Solution
Your Turn
Solution
Your Turn
B. Dividing by a Polynomial
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
6.6 Exercise Set for Extra Help
Vocabulary and Reading Check
A. Dividing by a Monomial
B. Dividing by a Polynomial
Skill Review
Synthesis
6.7 Synthetic Division and the Remainder Theorem
A. Synthetic Division
Solution
Your Turn
Solution
Your Turn
B. The Remainder Theorem
Solution
Your Turn
6.7 Exercise Set for Extra Help
Vocabulary and Reading Check
A. Synthetic Division
B. The Remainder Theorem
Skill Review
Synthesis
6.8 Formulas, Applications, and Variation
A. Formulas
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Direct Variation
Solution
Your Turn
Your Turn
C. Inverse Variation
Your Turn
Your Turn
D. Joint Variation and Combined Variation
Your Turn
Solution
Your Turn
6.8 Exercise Set for Extra Help
Vocabulary and Reading Check
Concept Reinforcement
A. Formulas
B. Direct Variation
C. Inverse Variation
B, C. Direct Variation and Inverse Variation
D. Joint Variation and Combined Variation
Skill Review
Synthesis
Chapter 6 Resources
Visualizing for Success
Decision Making Connection (Use after Section 6.8.)
Study Summary
Review Exercises: Chapter 6
Concept Reinforcement
Synthesis
Test: Chapter 6
Cumulative Review: Chapters 1–6
Synthesis
Chapter 7 Exponents and Radicals
7.1 Radical Expressions and Functions
A. Square Roots and Square-Root Functions
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Expressions of the Form
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
C. Cube Roots
Solution
Your Turn
Solution
Your Turn
D. Odd and Even nth Roots
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
7.1 Exercise Set for Extra Help
Vocabulary and Reading Check
A. Square Roots and Square-Root Functions
B. Expressions of the Form
C. Cube Roots
D. Odd and Even nth Roots
Skill Review
Synthesis
7.2 Rational Numbers as Exponents
A. Rational Exponents
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Negative Rational Exponents
Solution
Your Turn
C. Laws of Exponents
Solution
Your Turn
D. Simplifying Radical Expressions
Your Turn
7.2 Exercise Set for Extra Help
Vocabulary and Reading Check
Concept Reinforcement
A. Rational Exponents
B. Negative Rational Exponents
C. Laws of Exponents
D. Simplifying Radical Expressions
Skill Review
Synthesis
7.3 Multiplying Radical Expressions
A. Multiplying Radical Expressions
Solution
Your Turn
B. Simplifying by Factoring
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
C. Multiplying and Simplifying
Solution
Your Turn
7.3 Exercise Set for Extra Help
Vocabulary and Reading Check
A. Multiplying Radical Expressions
B. Simplifying by Factoring
C. Multiplying and Simplifying
Skill Review
Synthesis
7.4 Dividing Radical Expressions
A. Dividing and Simplifying
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Rationalizing Denominators or Numerators with One Term*
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
7.4 Exercise Set for Extra Help
Vocabulary and Reading Check
Concept Reinforcement
A. Dividing and Simplifying
B. Rationalizing Denominators or Numerators with One Term
Skill Review
Synthesis
7.5 Expressions Containing Several Radical Terms
A. Adding and Subtracting Radical Expressions
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Products of Two or More Radical Terms
Solution
Your Turn
C. Rationalizing Denominators or Numerators with Two Terms
Solution
Your Turn
Solution
Your Turn
D. Terms with Differing Indices
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
7.5 Exercise Set for Extra Help
Vocabulary and Reading Check
A. Adding and Subtracting Radical Expressions
B. Products of Two or More Radical Terms
C. Rationalizing Denominators or Numerators with Two Terms
D. Terms with Differing Indices
B. Products of Two or More Radical Terms
Skill Review
Synthesis
Mid-Chapter Review
Guided Solutions
Solution
Solution
Mixed Review
7.6 Solving Radical Equations
A. The Principle of Powers
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Equations with Two Radical Terms
Solution
Your Turn
Solution
Your Turn
7.6 Exercise Set For Extra Help
Vocabulary and Reading Check
Concept Reinforcement
A. The Principle of Powers
B. Equations with Two Radical Terms
Skill Review
Synthesis
7.7 The Distance Formula, the Midpoint Formula, and Other Applications
A. Using the Pythagorean Theorem
Solution
Your Turn
Solution
Your Turn
B. Two Special Triangles
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
C. The Distance Formula and the Midpoint Formula
Solution
Your Turn
Solution
Your Turn
7.7 Exercise Set For Extra Help
Vocabulary and Reading Check
A. Using the Pythagorean Theorem
B. Two Special Triangles
B. Solving Right Triangles
C. The Distance Formula and the Midpoint Formula
Skill Review
Synthesis
7.8 The Complex Numbers
A. Imaginary Numbers and Complex Numbers
Solution
Your Turn
B. Addition and Subtraction
Solution
Your Turn
C. Multiplication
Solution
Your Turn
D. Conjugates and Division
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
E. Powers of i
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
7.8 Exercise Set For Extra Help
Vocabulary and Reading Check
A. Imaginary Numbers and Complex Numbers
B. Addition and Subtraction
C. Multiplication
D. Conjugates and Division
E. Powers of i
Skill Review
Synthesis
Chapter 7 Resources
Visualizing for Success
Decision Making Connection (Use after Section 7.6.)
Study Summary
Review Exercises: Chapter 7
Concept Reinforcement
Synthesis
Test: Chapter 7
Cumulative Review: Chapters 1–7
Chapter 8 Quadratic Functions and Equations
8.1 Quadratic Equations
Solution
Your Turn
A. The Principle of Square Roots
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Completing the Square
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
C. Problem Solving
Solution
Your Turn
Solution
Your Turn
8.1 Exercise Set for Extra Help
Vocabulary and Reading Check
A. The Principle of Square Roots
B. Completing the Square
C. Problem Solving
Skill Review
Synthesis
8.2 The Quadratic Formula
A. Solving Using the Quadratic Formula
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Approximating Solutions
Solution
Your Turn
8.2 Exercise Set for Extra Help
Vocabulary and Reading Check
A. Solving Using the Quadratic Formula
B. Approximating Solutions
Skill Review
Synthesis
8.3 Studying Solutions of Quadratic Equations
A. The Discriminant
Solution
Your Turn
B. Writing Equations from Solutions
Solution
Your Turn
8.3 Exercise Set for Extra Help
Vocabulary and Reading Check
A. The Discriminant
B. Writing Equations from Solutions
Skill Review
Synthesis
8.4 Applications Involving Quadratic Equations
A. Solving Formulas
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Solving Problems
Solution
Your Turn
8.4 Exercise Set for Extra Help
Vocabulary and Reading Check
A. Solving Formulas
B. Solving Problems
Skill Review
Synthesis
8.5 Equations Reducible to Quadratic
A. Equations in Quadratic Form
Solution
Your Turn
Solution
Your Turn
B. Radical Equations and Rational Equations
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
8.5 Exercise Set for Extra Help
Vocabulary and Reading Check
Concept Reinforcement
A. Equations in Quadratic Form
B. Radical Equations and Rational Equations
A, B. Equations in Quadratic Form
Skill Review
Synthesis
Mid-Chapter Review
Guided Solutions
Solution
Solution
Mixed Review
8.6 Quadratic Functions and Their Graphs
A. The Graph of f(x) = ax2
Solution
Your Turn
B. The Graph of f(x) = a(x − h)2
Solution
Your Turn
Solution
Your Turn
C. The Graph of f(x) = a(x − h)2 + k
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
8.6 Exercise Set for Extra Help
Vocabulary and Reading Check
A. The Graph of f(x) = ax2
B. The Graph of f(x) = a(x − h)2
C. The Graph of f(x) = a(x − h)2 + k
Skill Review
Synthesis
8.7 More About Graphing Quadratic Functions
A. Graphing f(x) = ax2 + bx + c
Solution
Your Turn
Solution
Your Turn
Solution
Your Turn
B. Finding Intercepts
Solution
Your Turn
8.7 Exercise Set for Extra Help
Vocabulary and Reading Check
A. Graphing f