Preface 

ix  
To the Student 

xxii  


1  (96) 

Study Skills for Success in Mathematics 


2  (6) 


8  (12) 


20  (11) 


31  (6) 


37  (5) 


42  (10) 

Subtraction of Real Numbers 


52  (10) 

Multiplication and Division of Real Numbers 


62  (9) 

Exponents, Parentheses, and the Order of Operations 


71  (12) 

Properties of the Real Number System 


83  (14) 


91  (1) 


92  (3) 


95  (2) 

Solving Linear Equations and Inequalities 


97  (73) 


98  (9) 

The Addition Property of Equality 


107  (9) 

The Multiplication Property of Equality 


116  (7) 

Solving Linear Equations with a Variable on Only One Side of the Equation 


123  (10) 

Solving Linear Equations with the Variable on Both Sides of the Equation 


133  (10) 


143  (15) 

Inequalities in One Variable 


158  (12) 


165  (1) 


166  (2) 


168  (1) 


169  (1) 

Formulas and Applications of Algebra 


170  (71) 


171  (14) 

Changing Application Problems into Equations 


185  (14) 

Solving Application Problems 


199  (13) 


212  (6) 

Motion, Money, and Mixture Problems 


218  (23) 


234  (1) 


235  (3) 


238  (1) 


239  (2) 

Exponents and Polynomials 


241  (61) 


242  (10) 


252  (8) 


260  (12) 

Addition and Subtraction of Polynomials 


272  (8) 

Multiplication of Polynomials 


280  (10) 


290  (12) 


297  (1) 


298  (2) 


300  (1) 


300  (2) 


302  (64) 

Factoring a Monomial from a Polynomial 


303  (7) 


310  (6) 

Factoring Trinomials of the form ax2 + bx + c, a = 1 


316  (9) 

Factoring Trinomials of the form ax2 + bx + c, a ≠ 1 


325  (13) 

Special Factoring Formulas and a General Review of Factoring 


338  (8) 

Solving Quadratic Equations Using Factoring 


346  (6) 

Applications of Quadratic Equations 


352  (14) 


361  (1) 


362  (2) 


364  (1) 


364  (2) 

Rational Expressions and Equations 


366  (73) 

Simplifying Rational Expressions 


367  (8) 

Multiplication and Division of Rational Expressions 


375  (7) 

Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator 


382  (8) 

Addition and Subtraction of Rational Expressions 


390  (9) 


399  (5) 

Solving Rational Equations 


404  (9) 

Rational Equations: Applications and Problem Solving 


413  (13) 


426  (13) 


433  (1) 


434  (2) 


436  (1) 


437  (2) 

Graphing Linear Equations 


439  (69) 

The Cartesian Coordinate System and Linear Equations in Two Variables 


440  (10) 

Graphing Linear Equations 


450  (12) 


462  (12) 

SlopeIntercept and PointSlope Forms of a Linear Equation 


474  (13) 

Graphing Linear Inequalities 


487  (3) 


490  (18) 


501  (1) 


502  (3) 


505  (1) 


506  (2) 

Systems of Linear Equations 


508  (48) 

Solving Systems of Equations Graphically 


509  (11) 

Solving Systems of Equations by Substitution 


520  (6) 

Solving Systems of Equations by the Addition Method 


526  (9) 

Systems of Equations: Applications and Problem Solving 


535  (13) 

Solving Systems of Linear Inequalities 


548  (8) 


551  (1) 


551  (2) 


553  (1) 


554  (2) 


556  (58) 


557  (8) 


565  (6) 

Adding, Subtracting, and Multiplying Square Roots 


571  (6) 


577  (9) 

Solving Radical Equations 


586  (7) 

Radicals: Applications and Problem Solving 


593  (8) 

Higher Roots and Rational Exponents 


601  (13) 


609  (1) 


609  (3) 


612  (1) 


612  (2) 


614  (1) 


615  (5) 

Solving Quadratic Equations by Completing the Square 


620  (7) 

Solving Quadratic Equations by the Quadratic Formula 


627  (12) 

Graphing Quadratic Equations 


639  (10) 


649  (9) 


653  (1) 


654  (2) 


656  (1) 


656  (2) 



A Review of Decimals and Percents 


658  (3) 

B Finding the Greatest Common Factor and Least Common Denominator 


661  (2) 


663  
Answers 

1  (1) 
Index 

1  (1) 
Photo Credits 

1  