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

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

1 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 1-2 Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

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

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1-14 EXAMPLE 7 CONTINUED Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

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1-19 EXAMPLE 10 CONTINUED Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

Learning Objectives In Section 1.2 you will learn how to:  A.Solve inequalities and state solutions sets  B.Solve linear inequalities  C.Solve compound inequalities  D.Solve applications of inequalities 1.2 Linear Inequalities in One Variable 1-20 Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

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1-26 EXAMPLE 3 CONTINUED Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

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Learning Objectives In Section 1.3 you will learn how to:  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 1.3 Absolute Value Equations and Inequalities 1-36 Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

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1-49 EXAMPLE 6 CONTINUED Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

Learning Objectives In Section 1.4 you will learn how to:  A.Identify and simplify imaginary complex numbers  B.Add and subtract complex numbers  C.Multiply complex numbers and find powers of i  D.Divide complex numbers 1.4 Complex Numbers 1-50 Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

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1-55 EXAMPLE 3 CONTINUED Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

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1-64 EXAMPLE 9 CONTINUED Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

Learning Objectives In Section 1.5 you will learn how to:  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 completing the square  D.Solve quadratic equations using the quadratic formula  E.Use the discriminant to identify solutions  F.Solve applications of quadratic equations 1.5 Solving Quadratic Equations 1-65 Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

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Learning Objectives In Section 1.6 you will learn how to:  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 1.6 Solving Other Types of Equations 1-88 Copyright (c) The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

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