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

Description

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

[PDF eBook eTextbook] – Available Instantly

• 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