Preface 

vii  



Reading and Writing Numerals 


2  (5) 

Addition of Whole Numbers 


7  (6) 

Subtraction of Whole Numbers 


13  (7) 

Multiplication of Whole Numbers 


20  (5) 

Division of Whole Numbers 


25  (8) 

A Brief Introduction to Fractions 


33  (9) 

Addition and Subtraction of Decimal Numerals 


42  (10) 

Multiplication and Division of Decimal Numerals 


52  (9) 

Linear Measurement in the American and Metric Systems 


61  (13) 


67  (2) 


69  (2) 


71  (3) 

Adding and Subtracting Integers and Polynomials 



Variables, Exponents, and Order of Operations 


74  (10) 

Perimeters of Geometric Figures 


84  (9) 

Areas of Geometric Figures 


93  (8) 

Volumes and Surface Areas of Geometric Figures 


101  (8) 


109  (6) 


115  (11) 

Subtraction of Integers and Combining Like Terms 


126  (10) 

Polynomial Definitions and Combining Polynomials 


136  (22) 


149  (2) 


151  (3) 


154  (4) 

Laws of Exponents, Products and Quotients of Integers and Polynomials 



Multiplication of Integers 


158  (9) 

Multiplication Laws of Exponents 


167  (8) 


175  (7) 


182  (8) 

Division of and Order of Operations with Integers 


190  (9) 

Quotient Rule and Integer Exponents 


199  (9) 

Power Rule for Quotients and Using Combined Laws of Exponents 


208  (6) 

Division of Polynomials by Monomials 


214  (5) 

An Application of Exponents: Scientific Notation 


219  (15) 


227  (2) 


229  (2) 


231  (3) 

Linear Equations and Inequalities 



Addition Property of Equality 


234  (10) 

Multiplication Property of Equality 


244  (9) 

Combining Properties in Solving Linear Equations 


253  (10) 

Solving Linear Inequalities 


263  (13) 

Traditional Application Problems 


276  (10) 

Other Types of Traditional Application Problems 


286  (11) 

Geometric Application Problems 


297  (7) 

Using and Solving Formulas 


304  (12) 


308  (2) 


310  (3) 


313  (3) 

Graphing Linear Equations and Inequalities 



Ordered Pairs and Solutions of Linear Equations with Two Variables 


316  (11) 

Graphing Linear Equations with Two Variables 


327  (8) 

Graphing Linear Equations Using Intercepts 


335  (7) 


342  (13) 

SlopeIntercept Form of a Line 


355  (8) 

PointSlope Form of a Line 


363  (11) 

Graphing Linear Inequalities with Two Variables 


374  (9) 


383  (19) 


391  (2) 


393  (5) 


398  (4) 

Factors, Divisors, and Factoring 



Prime Factorization and Greatest Common Factor 


402  (10) 

Factoring Polynomials with Common Factors and by Grouping 


412  (7) 

Factoring General Trinomials with Leading Coefficient of One 


419  (9) 

Factoring General Trinomials with First Coefficient other than One 


428  (5) 


433  (6) 

Factoring Perfect Square Trinomials 


439  (4) 


443  (3) 

Solving Quadratic Equations by Factoring 


446  (14) 


454  (2) 


456  (1) 


457  (3) 

Multiplication and Division of Rational Numbers and Expressions 



Fractions and Rational Numbers 


460  (12) 

Reducing Rational Numbers and Rational Expressions 


472  (5) 

Further Reduction of Rational Expressions 


477  (8) 

Multiplication of Rational Numbers and Expressions 


485  (8) 

Further Multiplication of Rational Expressions 


493  (4) 

Division of Rational Numbers and Expressions 


497  (6) 

Division of Polynomials (Long Division) 


503  (13) 


508  (2) 


510  (3) 


513  (3) 

Addition and Subtraction of Rational Numbers and Expressions 



Addition and Subtraction of Rational Numbers and Expressions with Like Denominators 


516  (10) 

Least Common Multiple and Equivalent Rational Expressions 


526  (11) 

The Least Common Denominator of Fractions and Rational Expressions 


537  (6) 

Addition and Subtraction of Rational Numbers and Expressions with Unlike Denominators 


543  (6) 


549  (6) 

Solving Equations Containing Rational Numbers and Expressions 


555  (5) 

Applications with Rational Expressions 


560  (16) 


569  (2) 


571  (2) 


573  (3) 

Ratios, Percents, and Applications 




576  (7) 


583  (7) 


590  (8) 


598  (7) 

Further Applications of Percent 


605  (21) 


619  (2) 


621  (2) 


623  (3) 

Systems of Linear Equations 



Defining Linear Systems and Solving by Graphing 


626  (10) 

Solving Systems of Linear Equations Using Elimination by Addition 


636  (10) 

Solving Systems of Linear Equations Using Substitution 


646  (8) 

Solving Application Problems Using Systems of Linear Equations 


654  (9) 

Systems of Linear Inequalities 


663  (13) 


670  (1) 


671  (2) 


673  (3) 



Defining and Finding Roots 


676  (6) 


682  (7) 

Products and Quotients of Radicals 


689  (7) 

Addition, Subtraction, and Mixed Operations with Radicals 


696  (10) 

Rationalizing the Denominator 


706  (8) 

Solving Equations with Radicals 


714  (7) 


721  (13) 


729  (2) 


731  (1) 


732  (2) 

Solving Quadratic Equations 



Solving Incomplete Quadratic Equations 


734  (6) 

Solving Quadratic Equations by Completing the Square 


740  (8) 

Solving Quadratic Equations by the Quadratic Formula 


748  (5) 


753  (7) 

Applications Involving Quadratic Equations 


760  (11) 


767  (2) 


769  (1) 


770  (1) 
Answers for OddNumbered Exercises 

771  (26) 
Index 

797  (10) 
Table 1: Powers and Roots 

807  