Introductory Algebra

by Martin-Gay, K. Elayn

• ISBN13: 9780130131409
• ISBN10: 0130131407
• Edition: 1st
• Format: Hardcover
• Copyright: 1999-07-01
• Publisher: Pearson College Div

Table of Contents

Preface	vii
Prealgebra Review	1	(1)
Factors and the Least Common Multiple	3	(6)
Fractions	9	(10)
Decimals and Percents	19
Activity: Interpreting Survey Results	29	(1)
Highlights	30	(3)
Review	33	(2)
Test	35
Real Numbers and Introduction to Algebra	1	(88)
Symbols and Sets of Numbers	3	(10)
Introduction to Variable Expressions and Equations	13	(10)
Adding Real Numbers	23	(8)
Subtracting Real Numbers	31	(10)
Multiplying Real Numbers	41	(6)
Dividing Real Numbers	47	(10)
Integrated Review---Operations on Real Numbers	55	(2)
Properties of Real Numbers	57	(8)
Reading Graphs	65	(24)
Activity: Analyzing Wealth	75	(1)
Highlights	76	(5)
Review	81	(4)
Test	85	(4)
Equations, Inequalities, and Problem Solving	89	(100)
Simplifying Expressions	91	(8)
The Addition Property of Equality	99	(10)
The Multiplication Property of Equality	109	(8)
Further Solving Linear Equations	117	(12)
Integrated Review---Solving Linear Equations	127	(2)
An Introduction to Problem Solving	129	(12)
Formulas and Problem Solving	141	(10)
Percent, Ratio, and Proportion	151	(12)
Solving Linear Inequalities	163	(26)
Activity: Investigating Averages	175	(1)
Highlights	176	(3)
Review	179	(6)
Test	185	(2)
Cumulative Review	187	(2)
Exponents and Polynomials	189	(80)
Exponents	191	(12)
Negative Exponents and Scientific Notation	203	(12)
Introduction to Polynomials	215	(10)
Adding and Subtracting Polynomials	225	(6)
Multiplying Polynomials	231	(6)
Special Products	237	(10)
Integrated Review---Operations on Polynomials	245	(2)
Dividing Polynomials	247	(22)
Activity: Modeling with Polynomials	255	(1)
Highlights	256	(3)
Review	259	(6)
Test	265	(2)
Cumulative Review	267	(2)
Factoring Polynomials	269	(78)
The Greatest Common Factor	271	(8)
Factoring Trinomials of the Form x2 + bx + c	279	(8)
Factoring Trinomials of the Form ax2 + bx + c	287	(8)
Factoring Trinomials of the Form ax2 + bx + c by Grouping	295	(6)
Factoring Perfect Square Trinomials and the Differences of Two Squares	301	(12)
Integrated Review---Choosing a Factoring Strategy	311	(2)
Solving Quadratic Equations by Factoring	313	(10)
Quadratic Equations and Problem Solving	323	(24)
Activity: Factoring	335	(1)
Highlights	336	(3)
Review	339	(4)
Test	343	(2)
Cumulative Review	345	(2)
Rational Expressions	347	(82)
Simplifying Rational Expressions	349	(8)
Multiplying and Dividing Rational Expressions	357	(10)
Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator	367	(8)
Adding and Subtracting Rational Expressions with Different Denominators	375	(8)
Solving Equations Containing Rational Expressions	383	(10)
Integrated Review---Summary on Rational Expressions	391	(2)
Rational Equations and Problem Solving	393	(12)
Simplifying Complex Fractions	405	(24)
Activity: Analyzing a Table	413	(1)
Highlights	414	(5)
Review	419	(6)
Test	425	(2)
Cumulative Review	427	(2)
Graphing Equations and Inequalities	429	(104)
The Rectangular Coordinate System	431	(14)
Graphing Linear Equations	445	(12)
Intercepts	457	(12)
Slope	469	(14)
Equations of Lines	483	(14)
Integrated Review---Summary on Linear Equations	495	(2)
Introduction to Functions	497	(10)
Graphing Linear Inequalities in Two Variables	507	(26)
Activity: Financial Analysis	517	(1)
Highlights	518	(5)
Review	523	(6)
Test	529	(2)
Cumulative Review	531	(2)
Systems of Equations	533	(60)
Solving Systems of Linear Equations by Graphing	535	(12)
Solving Systems of Linear Equations by Substitution	547	(10)
Solving Systems of Linear Equations by Addition	557	(12)
Integrated Review---Summary on Solving Systems of Equations	567	(2)
Systems of Linear Equations and Problem Solving	569	(24)
Activity: Analyzing the Courses of Ships	581	(1)
Highlights	582	(3)
Review	585	(4)
Test	589	(2)
Cumulative Review	591	(2)
Roots and Radicals	593	(66)
Introduction to Radicals	595	(8)
Simplifying Radicals	603	(8)
Adding and Subtracting Radicals	611	(6)
Multiplying and Dividing Radicals	617	(10)
Integrated Review---Simplifying Radicals	625	(2)
Solving Equations Containing Radicals	627	(8)
Radical Equations and Problem Solving	635	(24)
Activity: Investigating the Dimensions of Cylinders	645	(1)
Highlights	646	(3)
Review	649	(4)
Test	653	(2)
Cumulative Review	655	(4)
Quadratic Equations	659
Solving Quadratic Equations by the Square Root Property	661	(6)
Solving Quadratic Equations by Completing the Square	667	(6)
Solving Quadratic Equations by the Quadratic Formula	673	(10)
Integrated Review---Summary on Quadratic Equations	681	(2)
Graphing Quadratic Equations in Two Variables	683
Activity: Modeling a Physical Situation	693	(1)
Highlights	694	(3)
Review	697	(4)
Test	701	(2)
Cumulative Review	703
Appendices	1	(16)
Answers to Selected Exercises	17	(30)
Solutions to Selected Exercises	47
Index	1	(1)
Photo Credits	1