1. Chapter 1 Equations and Inequalities Copyright ©2014 The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 1-1

2. Equations and Inequalities CHAPTER OUTLINE 1.1Linear Equations, Formulas and Problem Solving 1.2Linear Inequalities in One Variable 1.3Absolute Value Equations and Inequalities 1.4Complex Numbers 1.5Solving Quadratic Equations 1.6Solving Other Types of Equations 1 Copyright ©2014 The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 1-2

3. Learning Objectives In Section 1.1 you will see how we can:  A.Solve linear equations using properties of equality  B.Recognize equations that are identities or contradictions  C.Solve for a specified variable in a formula or literal equation  D.Use the problem-solving guide to solve various problem types Copyright ©2014 The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 1-3 Linear Equations, Formulas and Problem Solving 1.1

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16. Learning Objectives In Section 1.2 you will see how we can:  A.Solve inequalities and state solution sets  B.Solve linear inequalities  C.Solve compound inequalities  D.Solve applications of inequalities Copyright ©2014 The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 1-16 Linear Inequalities in One Variable 1.2

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30. Learning Objectives In Section 1.3 you will see how we can:  A.Solve absolute value equations  B.Solve “less than” absolute value inequalities  C.Solve “greater than” absolute value inequalities  D.Solve applications involving absolute value Copyright ©2014 The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 1-30 Absolute Value Equations and Inequalities 1.3

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40. Learning Objectives In Section 1.4 you will see how we can:  A.Identify and simplify imaginary and complex numbers  B.Add and subtract complex numbers  C.Multiply complex numbers and find powers of i  D.Divide complex numbers Copyright ©2014 The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 1-40 Complex Numbers 1.4

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52. Learning Objectives In Section 1.5 you will see how we can:  A. Solve quadratic equations using the zero product property  B. Solve quadratic equations using the square root property of equality  C. Solve quadratic equations by competing the square  D. Solve quadratic equations using the quadratic formula  E. Use the discriminant to identify solutions  F. Solve applications of quadratic equations Copyright ©2014 The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 1-52 Solving Quadratic Equations 1.5

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70. Learning Objectives In Section 1.6 you will see how we can:  A. Solve polynomial equations of higher degree  B. Solve rational equations  C. Solve radical equations and equations with rational exponents  D. Solve equations in quadratic form  E. Solve applications of various equation types Copyright ©2014 The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 1-70 1.6 Solving Other Types of Equations

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