AUFMANN AND LOCKWOOD SERIES

1

AUFMANN AND LOCKWOOD SERIESStandards Grade Text Section Page

The Number System

Understand and apply properties of operations and the relationship between addition and subtraction

General

Intermediate Algebra, 8e 1.2 17

Basic College Mathematics, 9e 1.2 8


Essential Mathematics with Applications, 8e 1.2 8


Introductory Algebra, 8e 1.2 8

Prealgebra & Introductory Algebra, 2e 1.2 18

Prealgebra, 5e 1.2 19

Work with addition and subtraction equations

GeneralPrealgebra, 5e 1.4 67


Represent and solve problems involving multiplication and division

General









Find a percent of a quantity as a rate per 100 (30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent

General











2

Number and Operations in Base Ten

Understand the place value system

5

Essential Mathematics with Applications, 8e Chapter 1 1



Prealgebra, 5e Chapter 1 1

Perform operations with multi-digit whole numbers and with decimals to hundredths

5













Number and Operations – Fractions

Use equivalent fractions as a strategy to add and subtract fractions

5


Algebra: Introductory and Intermediate, 5e 1.2 18











3

Number and Operations – Fractions - Continued

Apply and extend previous understandings of multiplication and division to multiply and divide fractions

5

Intermediate Algebra, 8e 1.2 17Algebra: Introductory and Intermediate, 5e 1.2 18

Basic College Mathematics, 9e 2.6 92Basic College Mathematics, 9e 2.7 100

Essential Mathematics with Applications, 8e 2.6 92Introductory Algebra, 8e 1.7 45

Prealgebra & Introductory Algebra, 2e 2.4 110Prealgebra, 5e 3.3 172

Apply and extend previous understandings of multiplication and division to divide fractions by fractions

5 & 6

Prealgebra & Introductory Algebra, 2e 2.4 110Basic College Mathematics, 9e 2.7 105

Essential Mathematics with Applications, 8e 2.7 100Prealgebra, 5e 3.5 207

Compute fluently with multi-digit numbers and find common factors and multiples

6

Prealgebra & Introductory Algebra, 2e 2.1 82Basic College Mathematics, 9e 2.1 64

Essential Mathematics with Applications, 8e 2.1 64Introductory Algebra, 8e 1.5 29


Apply and extend previous understandings of numbers to the system of rational numbers

6

Prealgebra & Introductory Algebra, 2e 3.1 176Algebra: Introductory and Intermediate, 5e 1.1 2

Basic College Mathematics, 9e 10.4 428Prealgebra & Introductory Algebra, 2e 3.2 186Prealgebra & Introductory Algebra, 2e 3.3 202Prealgebra & Introductory Algebra, 2e 3.4 214Prealgebra & Introductory Algebra, 2e 3.5 230


Apply and extend previous understandings of operations with fractions to add, subtract, multiply, and divide rational numbers

7

Algebra: Introductory and Intermediate, 5e 1.2 18Algebra: Introductory and Intermediate, 5e 1.3 34

Basic College Mathematics, 9e 2.8 109Essential Mathematics with Applications, 8e 2.8 109

Intermediate Algebra, 8e 1.2 17Introductory Algebra, 8e 1.7 45Introductory Algebra, 8e 1.6 34

Prealgebra & Introductory Algebra, 2e 2.7 158Prealgebra, 5e 3.6 214

Know that there are numbers that are not rational, and approximate them by rational numbers

8Algebra: Introductory and Intermediate, 5e 1.2 18


4

The Real Number System

Extend the properties of exponents to rational exponents.

HS Number and Quantity




Use properties of rational and irrational numbers HS Number and

Quantity








Prealgebra & Introductory Algebra, 2e Chapter 15 755


Quantities

Reason quantitatively and use units to solve problems


The Complex Number System

Perform arithmetic operations with complex numbers




Represent complex numbers and their operations on the complex plane

HS Number and Quantity Algebra: Introductory and Intermediate, 5e 9.4 548

Use complex numbers in polynomial identities and equations

HS Number and Quantity Intermediate Algebra, 8e Chapter 8 445

Ratios and Proportional Relationships/Measurement and Data

Convert like measurement units within a given measurement system

General






Represent and interpret data 5 Prealgebra & Introductory Algebra, 2e Chapter 8 445

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition

5

Ratios and Proportional Relationships/Measurement and Data - Continued

Understand ratio concepts and use ratio reasoning to solve problems.

6










Analyze proportional relationships and use them to solve real-world and mathematical problems.

7















Vector and Matrix Quantities

Represent and model with vector quantities


Perform operations on vectors HS Number and

Quantity

Perform operations on matrices and use matrices in applications


6

Operations and Algebraic Thinking

Write and interpret numerical expressions 5


Basic College Mathematics, 9e 1.5 32Basic College Mathematics, 9e 1.4 24Basic College Mathematics, 9e 1.3 16Basic College Mathematics, 9e 1.2 8

Intermediate Algebra, 8e 1.2 8Intermediate Algebra, 8e 1.3 16

Prealgebra & Introductory Algebra, 2e 1.2 18Prealgebra & Introductory Algebra, 2e 1.3 40Prealgebra & Introductory Algebra, 2e 3.2 186Prealgebra & Introductory Algebra, 2e 3.3 202

Prealgebra, 5e 1.2 19Prealgebra, 5e 1.3 41

Analyze patterns and relationships 5Expressions and Equations

Apply and extend previous understandings of arithmetic to algebraic expressions

6

Algebra: Introductory and Intermediate, 5e 1.4 38Basic College Mathematics, 9e 11.1 460

Intermediate Algebra, 8e 1.3 29Introductory Algebra, 8e 2.1 78

Prealgebra & Introductory Algebra, 2e 4.2 250Prealgebra & Introductory Algebra, 2e 4.1 246

Reason about and solve one-variable equations and inequalities

6

Algebra: Introductory and Intermediate, 5e 2.1 76Algebra: Introductory and Intermediate, 5e 2.2 95Algebra: Introductory and Intermediate, 5e 2.5 128

Basic College Mathematics, 9e 11.4 487Basic College Mathematics, 9e 11.3 480Basic College Mathematics, 9e 11.2 470

Intermediate Algebra, 8e 2.1 58Introductory Algebra, 8e 3.2 133Introductory Algebra, 8e 3.3 145Introductory Algebra, 8e 5.5 266


Prealgebra, 5e Chapter 6 379Represent and analyze quantitative relationships between dependent and independent variables

6

7

Expressions and Equations - Continued

Use properties of operations to generate equivalent expressions

7

Intermediate Algebra, 8e 1.3 29Intermediate Algebra, 8e 5.2 272Intermediate Algebra, 8e 5.3 280Intermediate Algebra, 8e 5.4 290Intermediate Algebra, 8e 5.5 301Intermediate Algebra, 8e 5.6 313


Introductory Algebra, 8e 2.2 82Prealgebra & Introductory Algebra, 2e 4.2 246

Basic College Mathematics, 9e 11.1 460Prealgebra, 5e 5.2 327Prealgebra, 5e 5.3 335Prealgebra, 5e 5.4 344Prealgebra, 5e 5.5 350Prealgebra, 5e 5.6 354

Solve real-life and mathematical problems using numerical and algebraic expressions and equations

7

Intermediate Algebra, 8e 2.2 68Intermediate Algebra, 8e 2.3 74



Work with radicals and integer exponents 8

Intermediate Algebra, 8e 5.1 260Algebra: Introductory and Intermediate, 5e 6.1 348Algebra: Introductory and Intermediate, 5e 9.1 522Algebra: Introductory and Intermediate, 5e 9.2 532

Introductory Algebra, 8e 4.4 208Prealgebra & Introductory Algebra, 2e 15.2 762Prealgebra & Introductory Algebra, 2e 15.3 766

Understand the connections between proportional relationships, lines, and linear equations

8

Analyze and solve linear equations and pairs of simultaneous linear equations

8

Intermediate Algebra, 8e Chapter 4 201Intermediate Algebra, 8e 3.3 144

Algebra: Introductory and Intermediate, 5e 4.3 244Algebra: Introductory and Intermediate, 5e 4.4 256Algebra: Introductory and Intermediate, 5e 4.5 267Algebra: Introductory and Intermediate, 5e 4.6 276Algebra: Introductory and Intermediate, 5e 4.7 282

Introductory Algebra, 8e Chapter 8 403Introductory Algebra, 8e 7.2 364

8

Seeing Structure in Expressions

Interpret the structure of expressions HS Algebra

Write expressions in equivalent forms to solve problems

HS AlgebraAlgebra: Introductory and Intermediate, 5e 1.4 38

Arithmetic with Polynomials and Rational Expressions

Perform arithmetic operations on polynomials HS Algebra






















Understand the relationship between zeros and factors of polynomials

HS Algebra





Use polynomial identities to solve problems HS Algebra






9

Arithmetic with Polynomials and Rational Expressions - Continued

Rewrite rational expressions HS Algebra















Creating Equations

Create equations that describe numbers or relationships

HS Algebra








Reasoning with Equations and Inequalities

Understand solving equations as a process of reasoning and explain the reasoning

HS AlgebraPrealgebra, 5e Chapter 6 379

10

Reasoning with Equations and Inequalities

Solve equations and inequalities in one variable HS Algebra




Introductory Algebra, 8e Chapter 3 113










Solve systems of equations HS Algebra









Introductory Algebra, 8e Chapter 8 403




Represent and solve equations and inequalities graphically

HS Algebra





11

Functions

Define, evaluate, and compare functions. 8




Use functions to model relationships between quantities.

8








Interpreting Functions

Understand the concept of a function and use function notation

HS Functions




Interpret functions that arise in applications in terms of the context

HS FunctionsIntermediate Algebra, 8e 9.1 496


Analyze functions using different representations HS Functions Introductory Algebra, 8e 7.4 384

Building Functions

Build a function that models a relationship between two quantities

HS Functions




Build new functions from existing functions HS Functions




12

Linear, Quadratic, and Exponential Models

Construct and compare linear, quadratic, and exponential models and solve problems

HS Functions




















Interpret expressions for functions in terms of the situation they model

HS FunctionsIntroductory Algebra, 8e 11.5 535

Trigonometric Functions

Extend the domain of trigonometric functions using the unit circle

HS Functions

Model periodic phenomena with trigonometric functions

HS Functions

Prove and apply trigonometric identities HS Functions

13

Geometry

Graph points on the coordinate plane to solve real-world and mathematical problems.

5





Classify two-dimensional figures into categories based on their properties.

5





Solve real-world and mathematical problems involving area, surface area, and volume.

6




Draw, construct and describe geometrical figures and describe the relationships between them.

7




Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

7




Understand congruence and similarity using physical models, transparencies, or geometry software.

8




Understand and apply the Pythagorean Theorem. 8






Solve real-world and mathematical problems involving volume of cylinders, cones and spheres.

8





14

Congruence

Experiment with transformations in the plane HS Geometry

Understand congruence in terms of rigid motions HS GeometryPrealgebra & Introductory Algebra, 2e 7.3 412

Prove geometric theorems HS Geometry Prealgebra, 5e 9.3 571

Make geometric constructions HS Geometry

Similarity, Right Triangles, and Trigonometry

Understand similarity in terms of similarity transformations

HS Geometry

Prove theorems involving similarity HS GeometryPrealgebra & Introductory Algebra, 2e 7.3 412

Define trigonometric ratios and solve problems involving right triangles

HS Geometry

Apply trigonometry to general triangles HS Geometry

Circles

Understand and apply theorems about circles HS Geometry Intermediate Algebra, 8e 11.2 608

Find arc lengths and areas of sectors of circles HS Geometry

Expressing Geometric Properties with Equations

Translate between the geometric description and the equation for a conic section

HS Geometry

Use coordinates to prove simple geometric theorems algebraically

HS Geometry

Geometric Measurement and Dimension

Explain volume formulas and use them to solve problems

HS Geometry Prealgebra & Introductory Algebra, 2e 7.4 422


Visualize relationships between two-dimensional and three-dimensional objects

HS Geometry

Modeling with Geometry

Apply geometric concepts in modeling situations HS Geometry

15

Statistics and Probability

Develop understanding of statistical variability. 6Prealgebra & Introductory Algebra, 2e 8.2 450


Summarize and describe distributions. 6 Prealgebra, 5e Chapter 10 605

Use random sampling to draw inferences about a population.

7Prealgebra, 5e Chapter 10 605

Draw informal comparative inferences about two populations.

7Prealgebra, 5e Chapter 10 605

Investigate chance processes and develop, use, and evaluate probability models.

7Prealgebra & Introductory Algebra, 2e 8.3 460


Investigate patterns of association in bivariate data. 8 Prealgebra, 5e Chapter 10 605

Interpreting Categorical and Quantitative Data

Summarize, represent, and interpret data on a single count or measurement variable

HS Stats






Summarize, represent, and interpret data on two categorical and quantitative variables

HS StatsPrealgebra, 5e Chapter 10 605

Interpret linear models HS Stats Prealgebra, 5e Chapter 10 605

Making Inferences and Justifying Conclusions

Understand and evaluate random processes underlying statistical experiments


Make inferences and justify conclusions from sample surveys, experiments and observational studies


Conditional Probability and the Rules of Probability

Understand independence and conditional probability and use them to interpret data

HS StatsPrealgebra & Introductory Algebra, 2e 8.3 460


Use the rules of probability to compute probabilities of compound events in a uniform probability model


Using Probability to Make Decisions

Calculate expected values and use them to solve problems


Use probability to evaluate outcomes of decisions HS Stats Prealgebra, 5e Chapter 10 605


Chapter 1. Whole Numbers

1.1. Introduction to Whole Numbers

1.2. Addition of Whole Numbers

1.3. Subtraction of Whole Numbers

1.4. Multiplication of Whole Numbers

1.5. Division of Whole Numbers

1.6. Exponential Notation and the Order of Operations Agreement

1.7. Prime Numbers and Factoring

Chapter 2. Fractions

2.1. The Least Common Multiple and Greatest Common Factor

2.2. Introduction to Fractions

2.3. Writing Equivalent Fractions

2.4. Addition of Fractions and Mixed Numbers

2.5. Subtraction of Fractions and Mixed Numbers

2.6. Multiplication of Fractions and Mixed Numbers

2.7. Division of Fractions and Mixed Numbers

2.8. Order, Exponents, and the Order of Operations Agreement

Chapter 3. Decimals

3.1. Introduction to Decimals

3.2. Addition of Decimals

3.3. Subtraction of Decimals

3.4. Multiplication of Decimals

3.5. Division of Decimals

3.6. Comparing and Converting Fractions and Decimals

Chapter 4. Ratio and Proportion

4.1. Ratio

4.2. Rates

4.3. Proportions

Chapter 5. Percents

5.1. Introduction to Percents

5.2. Percent Equations: Part 1

5.3. Percent Equations: Part II

5.4. Percent Equations: Part III

5.5. Percent Problems: Proportion Method

Chapter 6. Applications for Business and Consumers

6.1. Applications to Purchasing

6.2. Percent Increase and Percent Decrease

6.3. Interest

6.4. Real Estate Expenses

6.5. Car Expenses

6.6. Wages

6.7. Bank Statements

Essential Mathematics:

An Applied ApproachAufmann & Lockwood

8th Edition

ISBN: 9781439046975

Chapter 1. Whole Numbers Chapter 7. Statistics and Probability1.1. Introduction to Whole Numbers 7.1. Pictographs and Circle Graphs1.2. Addition of Whole Numbers 7.2. Bar Graphs and Broken-Lines1.3. Subtraction of Whole Numbers 7.3. Histograms and Frequency Polygons1.4. Multiplication of Whole Numbers 7.4. Statistical Measures1.5. Division of Whole Numbers 7.5. Introduction to Probability1.6. Exponential Notation and the Order of Operations Agreement Chapter 8. U.S. Customary Units of Measurement1.7. Prime Numbers and Factoring 8.1. LengthChapter 2. Fractions 8.2. Weight2.1. The Least Common Multiple and Greatest Common Factor 8.3. Capacity2.2. Introduction to Fractions 8.4. Time2.3. Writing Equivalent Fractions 8.5. Energy and Power2.4. Addition of Fractions and Mixed Numbers Chapter 9. The Metric System of Measurement2.5. Subtraction of Fractions and Mixed Numbers 9.1. Length2.6. Multiplication of Fractions and Mixed Numbers 9.2. Mass2.7. Division of Fractions and Mixed Numbers 9.3. Capacity

2.8. Order, Exponents, and the Order of Operations Agreement 9.4. Energy

Chapter 3. Decimals9.5. Conversion Between the U.S. Customary and the Metric Systems of Measurement

3.1. Introduction to Decimals Chapter 10. Rational Numbers3.2. Addition of Decimals 10.1. Introduction to Integers3.3. Subtraction of Decimals 10.2. Addition and Subtraction of Integers3.4. Multiplication of Decimals 10.3. Multiplication and Division of Integers3.5. Division of Decimals 10.4. Operations with Rational Numbers3.6. Comparing and Converting Fractions and Decimals 10.5. Scientific Notation and the Order of Operations AgreementChapter 4. Ratio and Proportion Chapter 10. Rational Numbers4.1. Ratio 10.1. Introduction to Integers4.2. Rates 10.2. Addition and Subtraction of Integers4.3. Proportions 10.3. Multiplication and Division of IntegersChapter 5. Percents 10.4. Operations with Rational Numbers5.1. Introduction to Percents 10.5. Scientific Notation and the Order of Operations Agreement5.2. Percent Equations: Part 2 Chapter 11. Introduction to Algebra5.3. Percent Equations: Part II 11.1. Variable Expressions5.4. Percent Equations: Part III 11.2. Introduction to Equations5.5. Percent Problems: Proportion Method 11.3. General Equations: Part IChapter 6. Applications for Business and Consumers 11.4. General Equations: Part II6.1. Applications to Purchasing 11.5. Translating Verbal Expressions into Mathematical Expressions6.2. Percent Increase and Percent Decrease 11.6. Translating Sentences into Equations and Solving6.3. Interest Chapter 12. Geometry6.4. Real Estate Expenses 12.1. Angles, Lines, and Geometric Figures6.5. Car Expenses 12.2. Plane Geometric Figures6.6. Wages 12.3. Area6.7. Bank Statements 12.4. Volume

12.5. The Pythagorean Theorem12.6. Similar and Congruent Triangles

Basic College Mathematics:


9th Edition

ISBN: 9781439046968

Chapter 1. Whole Numbers Chapter 9. Polynomials1.1 Introduction to Whole Numbers 9.1 Addition and Subtraction of Polynomials1.2 Addition and Subtraction of Whole Numbers 9.2 Multiplication of Monomials1.3 Multiplication and Division of Whole Numbers 9.3 Multiplication of Polynomials1.4 The Order of Operations Agreement 9.4 Integer Exponents and Scientific NotationChapter 2. Fractions and Decimals 9.5 Division of Polynomials2.1 The Least Common Multiple and Greatest Common Factor Chapter 10. Factoring2.2 Introduction to Fractions 10.1 Common Factors2.3 Addition and Subtraction of Fractions 10.2 Factoring Polynomials of the Form x2 + bx + c2.4 Multiplication and Division of Fractions 10.3 Factoring Polynomials of the Form ax2 + bx + c2.5 Introduction to Decimals 10.4 Special Factoring2.6 Operations on Decimals 10.5 Solving Equations2.7 The Order of Operations Agreement Chapter 11. Rational ExpressionsChapter 3. Rational Numbers 11.1 Multiplication and Division of Rational Expressions3.1 Introduction to Integers 11.2 Expressing Fractions in Terms of the Least Common Multiple (LCM)3.2 Addition and Subtraction of Integers 11.3 Addition and Subtraction of Rational Expressions3.3 Multiplication and Division of Integers 11.4 Complex Fractions3.4 Operations with Rational Numbers 11.5 Solving Equations Containing Fractions3.5 The Order of Operations Agreement 11.6 Literal EquationsChapter 4. Variable Expressions 11.7 Application Problems4.1 Evaluating Variable Expressions Chapter 12. Linear Equations in Two Variables4.2 Simplifying Variable Expressions 12.1 The Rectangular Coordinate System4.3 Translating Verbal Expressions into Variable Expressions 12.2 Linear Equations in Two VariablesChapter 5. Solving Equations 12.3 Intercepts and Slopes of Straight Lines5.1 Introduction to Equations 12.4 Equations of Straight Lines5.2 General Equations -- Part I Chapter 13. Systems of Linear Equations5.3 General Equations -- Part II 13.1 Solving Systems of Linear Equations by Graphing5.4 Translating Sentences into Equations 13.2 Solving Systems of Linear Equations by the Substitution Method5.5 Mixture and Uniform Motion Problems 13.3 Solving Systems of Equations by the Addition MethodChapter 6. Proportion and Percent 13.4 Application Problems in Two Variables6.1 Ratios and Rates Chapter 14. Inequalities6.2 Proportion 14.1 Sets6.3 Percent 14.2 The Addition and Multiplication Properties of Inequalities6.4 The Basic Percent Equation 14.3 General Inequalities6.5 Simple Interest 14.4 Graphing Linear InequalitiesChapter 7. Geometry Chapter 15. Radical Expressions7.1 Introduction to Geometry 15.1 Introduction to Radical Expressions7.2 Plane Geometric Figures 15.2 Addition and Subtraction of Radical Expressions7.3 Triangles 15.3 Multiplication and Division of Radical Expressions7.4 Solids 15.4 Solving Equations Containing Radical ExpressionsChapter 8. Statistics and Probability Chapter 16. Quadratic Equations8.1 Statistical Graphs 16.1 Solving Quadratic Equations by Factoring or by Taking Square Roots8.2 Statistical Measures 16.2 Solving Quadratic Equations by Completing the Square8.3 Introduction to Probability 16.3 Solving Quadratic Equations by Using the Quadratic Formula

16.4 Graphing Quadratic Equations in Two Variables16.5 Application Problems

PrealgebraAufmann & Lockwood

5th Edition

ISBN: 9780618956883

Chapter 1. Whole Numbers Chapter 9. Polynomials1.1 Introduction to Whole Numbers 9.1 Addition and Subtraction of Polynomials1.2 Addition and Subtraction of Whole Numbers 9.2 Multiplication of Monomials1.3 Multiplication and Division of Whole Numbers 9.3 Multiplication of Polynomials1.4 The Order of Operations Agreement 9.4 Integer Exponents and Scientific NotationChapter 2. Fractions and Decimals 9.5 Division of Polynomials2.1 The Least Common Multiple and Greatest Common Factor Chapter 10. Factoring2.2 Introduction to Fractions 10.1 Common Factors2.3 Addition and Subtraction of Fractions 10.2 Factoring Polynomials of the Form x2 + bx + c2.4 Multiplication and Division of Fractions 10.3 Factoring Polynomials of the Form ax2 + bx + c2.5 Introduction to Decimals 10.4 Special Factoring2.6 Operations on Decimals 10.5 Solving Equations2.7 The Order of Operations Agreement Chapter 11. Rational ExpressionsChapter 3. Rational Numbers 11.1 Multiplication and Division of Rational Expressions3.1 Introduction to Integers 11.2 Expressing Fractions in Terms of the Least Common Multiple (LCM)3.2 Addition and Subtraction of Integers 11.3 Addition and Subtraction of Rational Expressions3.3 Multiplication and Division of Integers 11.4 Complex Fractions3.4 Operations with Rational Numbers 11.5 Solving Equations Containing Fractions3.5 The Order of Operations Agreement 11.6 Literal EquationsChapter 4. Variable Expressions 11.7 Application Problems4.1 Evaluating Variable Expressions Chapter 12. Linear Equations in Two Variables4.2 Simplifying Variable Expressions 12.1 The Rectangular Coordinate System4.3 Translating Verbal Expressions into Variable Expressions 12.2 Linear Equations in Two VariablesChapter 5. Solving Equations 12.3 Intercepts and Slopes of Straight Lines5.1 Introduction to Equations 12.4 Equations of Straight Lines5.2 General Equations -- Part I Chapter 13. Systems of Linear Equations5.3 General Equations -- Part II 13.1 Solving Systems of Linear Equations by Graphing5.4 Translating Sentences into Equations 13.2 Solving Systems of Linear Equations by the Substitution Method5.5 Mixture and Uniform Motion Problems 13.3 Solving Systems of Equations by the Addition MethodChapter 6. Proportion and Percent 13.4 Application Problems in Two Variables6.1 Ratios and Rates Chapter 14. Inequalities6.2 Proportion 14.1 Sets6.3 Percent 14.2 The Addition and Multiplication Properties of Inequalities6.4 The Basic Percent Equation 14.3 General Inequalities6.5 Simple Interest 14.4 Graphing Linear InequalitiesChapter 7. Geometry Chapter 15. Radical Expressions7.1 Introduction to Geometry 15.1 Introduction to Radical Expressions7.2 Plane Geometric Figures 15.2 Addition and Subtraction of Radical Expressions7.3 Triangles 15.3 Multiplication and Division of Radical Expressions7.4 Solids 15.4 Solving Equations Containing Radical ExpressionsChapter 8. Statistics and Probability Chapter 16. Quadratic Equations8.1 Statistical Graphs 16.1 Solving Quadratic Equations by Factoring or by Taking Square Roots8.2 Statistical Measures 16.2 Solving Quadratic Equations by Completing the Square8.3 Introduction to Probability 16.3 Solving Quadratic Equations by Using the Quadratic Formula

16.4 Graphing Quadratic Equations in Two Variables16.5 Application Problems

Prealgebra and Introductory Algebra:

An Applied Approach

Aufmann & Lockwood

2nd Edition

ISBN: 9780840048080

Chapter 1. Prealgebra Review Chapter 7. Linear Equations in Two Variables1.1. Introduction to Integers 7.1. The Rectangular Coordinate System1.2. Addition and Subtraction of Integers 7.2. Linear Equations in Two Variables1.3. Multiplication and Division of Integers 7.3. Intercepts and Slopes of Straight Lines1.4. Exponents and the Order of Operations Agreement 7.4. Equations of Straight Lines1.5. Factoring Numbers and Prime Factorization Chapter 8. Systems of Linear Equations1.6. Addition and Subtraction of Rational Numbers 8.1. Solving Systems of Linear Equations by Graphing

1.7. Multiplication and Division of Rational Numbers8.2. Solving Systems of Linear Equations by the Substitution

Method1.8. Concepts from Geometry 8.3. Solving Systems of Linear Equations by the Addition Method

Chapter 2. Variable Expressions 8.4. Application Problems in Two Variables2.1. Evaluating Variable Expressions Chapter 9. Inequalities2.2. Simplifying Variable Expressions 9.1. Sets2.3. Translating Verbal Expressions into Variable Expressions 9.2. The Addition and Multiplication Properties of Inequalities

Chapter 3. Solving Equations 9.3. General Inequalities3.1. Introduction to Equations 9.4. Graphing Linear Inequalities3.2. General Equations—Part I Chapter 10. Radical Expressions3.3. General Equations—Part II 10.1. Introduction to Radical Expressions3.4. Translating Sentences into Equations 10.2. Addition and Subtraction of Radical Expressions3.5. Geometry Problems 10.3. Multiplication and Division of Radical Expressions3.6. Mixture and Uniform Motion Problems 10.4. Solving Equations Containing Radical Expressions

Chapter 4. Polynomials Chapter 11. Quadratic Equations

4.1. Addition and Subtraction of Polynomials11.1. Solving Quadratic Equations by Factoring or by Taking Square

Roots4.2. Multiplication of Monomials 11.2. Solving Quadratic Equations by Completing the Square4.3. Multiplication of Polynomials 11.3. Solving Quadratic Equations by Using the Quadratic Formula4.4. Integer Exponents and Scientific Notation 11.4. Graphing Quadratic Equations in Two Variables4.5. Division of Polynomials 11.5. Application Problems

Chapter 5. Factoring5.1. Common Factors5.2. Factoring Polynomials of the Form x2 + bx + c5.3. Factoring Polynomials of the Form ax2 + bx + c5.4. Special Factoring5.5. Solving Equations

Chapter 6. Rational Expressions6.1. Multiplication and Division of Rational Expressions6.2. Expressing Fractions in Terms of the Least Common Multiple

(LCM)6.3. Addition and Subtraction of Rational Expressions6.4. Complex Fractions6.5. Solving Equations Containing Fractions6.6. Ratio and Proportion6.7. Literal Equations6.8. Application Problems

Introductory Algebra:


8th Edition

ISBN: 9781439046043

Chapter 1. Real Numbers and Variable Expressions Chapter 8. Rational Expressions1.1 Integers. 8.1 Multiplication and Division of Rational Expressions.1.2 Rational and Irrational Numbers. 8.2 Addition and Subtraction of Rational Expressions.1.3 The Order of Operations Agreement. 8.3 Complex Fractions.1.4 Variable Expressions. 8.4 Solving Equations Containing Fractions.1.5 Sets. 8.5 Ratio and Proportion.Chapter 2. First-Degree Equations and Inequalities 8.6 Literal Equations.2.1 Introduction to Equations. 8.7 Application Problems.2.2 General Equations. 8.8 Variation.2.3 Translating Sentences into Equations. Chapter 9. Exponents and Radicals2.4 Mixture and Uniform Motion Problems. 9.1 Rational Exponents and Radical Expressions.2.5 First-Degree Inequalities. 9.2 Operations on Radical Expressions.2.6 Absolute Value Equations and Inequalities. 9.3 Solving Equations Containing Radical Expressions.Chapter 3. Geometry 9.4 Complex Numbers.3.1 Introduction to Geometry. Chapter 10. Quadratic Equations3.2 Plane Geometric Figures. 10.1 Solving Quadratic Equations by Factoring or by Taking Square Roots.3.3 Solids. 10.2 Solving Quadratic Equations by Completing the Square.Chapter 4. Linear Functions and Inequalities in Two Variables 10.3 Solving Quadratic Equations by Using the Quadratic Formula.4.1 The Rectangular Coordinate System. 10.4 Solving Equations That Are Reducible to Quadratic Equations.4.2 Introduction to Functions. 10.5 Quadratic Inequalities and Rational Inequalities.4.3 Linear Functions. 10.6 Applications of Quadratic Equations.4.4 Slope of a Straight Line. Chapter 11. Functions and Relations4.5 Finding Equations of Lines. 11.1 Properties of Quadratic Functions.4.6 Parallel and Perpendicular Lines. 11.2 Graphs of Functions.4.7 Inequalities in Two Variables. 11.3 Algebra of Functions.Chapter 5. Systems of Linear Equations and Inequalities 11.4 One-to-One and Inverse Functions.5.1 Solving Systems of Linear Equations by Graphing and by the Substitution Method. 11.5 Conic Sections.5.2 Solving Systems of Linear Equations by the Addition Method. Chapter 12. Exponential and Logarithmic Functions5.3 Application Problems. 12.1 Exponential Functions.5.4 Solving Systems of Linear Inequalities. 12.2 Introduction to Logarithms.5.5 Solving Systems of Equations by Using Determinants. 12.3 Graphs of Logarithmic Functions.Chapter 6. Polynomials 12.4 Solving Exponential and Logarithmic Equations.6.1 Exponential Expressions. 12.5 Applications of Exponential and Logarithmic Functions.6.2 Introduction to Polynomial Functions.6.3 Multiplication of Polynomials.6.4 Division of Polynomials.Chapter 7. Factoring7.1 Common Factors.7.2 Factoring Polynomials of the Form x2 + bx + c.7.3 Factoring Polynomials of the Form ax2 + bx + c.7.4 Special Factoring.7.5 Solving Equations.

Algebra: Introductory and

IntermediateAufmann & Lockwood

5th Edition

ISBN: 9781439046951

Chapter 1. Review of Real Numbers Chapter 7. Exponents and Radicals1.1. Introduction to Real Numbers 7.1. Rational Exponents and Radical Expressions1.2. Operations on Rational Numbers 7.2. Operations on Radical Expressions1.3. Variable Expressions 7.3. Solving Equations Containing Radical Expressions1.4. Verbal Expressions and Variable Expressions 7.4. Complex Numbers

Chapter 2. First-Degree Equations and Inequalities Chapter 8. Quadratic Equations2.1. Solving First-Degree Equations 8.1. Solving Quadratic Equations by Factoring or by Taking Square Roots2.2. Applications: Puzzle Problems 8.2. Solving Quadratic Equations by Completing the Square2.3. Applications: Mixture and Uniform Motion Problems 8.3. Solving Quadratic Equations by Using the Quadratic Formula2.4. First-Degree Inequalities 8.4. Solving Equations That Are Reducible to Quadratic Equations2.5. Absolute Value Equations and Inequalities 8.5. Quadratic Inequalities and Rational Inequalities

Chapter 3. Linear Functions and Inequalities in Two Variables 8.6. Applications of Quadratic Equations3.1. The Rectangular Coordinate System Chapter 9. Functions and Relations3.2. Introduction to Functions 9.1. Properties of Quadratic Functions3.3. Linear Functions 9.2. Graphs of Functions3.4. Slope of a Straight Line 9.3. Algebra of Functions3.5. Finding Equations of Lines 9.4. One-to-One and Inverse Functions3.6. Parallel and Perpendicular Lines Chapter 10. Exponential and Logarithmic Functions3.7. Inequalities in Two Variables 10.1. Exponential Functions

Chapter 4. Systems of Linear Equations and Inequalities 10.2. Introduction to Logarithms4.1. Solving Systems of Linear Equations by Graphing and by the

Substitution Method 10.3. Graphs of Logarithmic Functions4.2. Solving Systems of Linear Equations by the Addition Method 10.4. Solving Exponential and Logarithmic Equations4.3. Solving Systems of Equations by Using Determinants 10.5. Applications of Exponential and Logarithmic Functions4.4. Application Problems Chapter 11. Conic Sections4.5. Solving Systems of Linear Inequalities 11.1. The Parabola

Chapter 5. Polynomials 11.2. The Circle5.1. Exponential Expressions 11.3. The Ellipse and the Hyperbola5.2. Introduction to Polynomial Functions 11.4. Solving Nonlinear Systems of Equations5.3. Multiplication of Polynomials 11.5. Quadratic Inequalities and Systems of Inequalities5.4. Division of Polynomials Chapter 12. Sequences and Series5.5. Factoring Polynomials 12.1. Introduction to Sequences and Series5.6. Special Factoring 12.2. Arithmetic Sequences and Series5.7. Solving Equations by Factoring 12.3. Geometric Sequences and Series

Chapter 6. Rational Expressions 12.4. Binomial Expansions6.1. Multiplication and Division of Rational Expressions

6.2. Addition and Subtraction of Rational Expressions6.3. Complex Fractions6.4. Ratio and Proportion6.5. Rational Equations6.6. Variation

Intermediate Algebra:


8th Edition

ISBN: 9781439046906

Documents

AUFMANN AND LOCKWOOD SERIES