1. Section 10.1 Solving Quadratic Equations by the Square Root Property

2. OBJECTIVES Solve quadratic equations of the form B A

3. DEFINITION Square Root Property of Equations

4. PROCEDURE To solve any equation of form Add B Then

5. PROCEDURE Divide by A To solve any equation of form

6. PROCEDURE Using square root property, To solve any equation of form

7. Section 10.1 Exercise #1 Chapter 10 Quadratic Equations

8. Solve.

9. Section 10.1 Exercise #2 Chapter 10 Quadratic Equations

10. Solve.

11. Section 10.1 Exercise #3 Chapter 10 Quadratic Equations

12. Solve.

13. Section 10.1 Exercise #4 Chapter 10 Quadratic Equations

14. Solve.

15. or

16. Section 10.1 Exercise #5 Chapter 10 Quadratic Equations

17. Solve.

18. Section 10.2 Solving Quadratic Equations by Completing the Square

19. OBJECTIVES A Solve a quadratic equation by completing the square.

20. PROCEDURE 1.Find the coefficient of x term. Completing the Square

21. PROCEDURE 2. Divide coefficient by 2. Completing the Square

22. PROCEDURE 3. Square this number to obtain last term. Completing the Square

23. PROCEDURE 1.Write equation with variables in descending order on left and constants on right. Solving a Quadratic Equation by Completing the Square

24. PROCEDURE Solving a Quadratic Equation by Completing the Square 2. If coefficient of square term is not 1, divide each term by this coefficient.

25. PROCEDURE Solving a Quadratic Equation by Completing the Square 3. Add square of one-half of coefficient of first-degree term to both sides.

26. PROCEDURE Solving a Quadratic Equation by Completing the Square 4. Rewrite left-hand side as a perfect square binomial.

27. PROCEDURE Solving a Quadratic Equation by Completing the Square 5.Use square root property to solve resulting equation.

28. Section 10.2 Chapter 10 Quadratic Equations

29. Section 10.2 Exercise #6 Chapter 10 Quadratic Equations

31. Section 10.2 Exercise #7 Chapter 10 Quadratic Equations

32. 16

33. Section 10.2 Exercise #8 Chapter 10 Quadratic Equations

35. Section 10.2 Exercise #9 Chapter 10 Quadratic Equations

37. Section 10.3 Solving Quadratic Equations by the Quadratic Formula

38. OBJECTIVES A Write a quadratic equation in the form

39. OBJECTIVES B Solve a quadratic equation using the quadratic formula.

40. DEFINITION The Quadratic Formula

41. DEFINITION The Quadratic Formula

42. DEFINITION The Quadratic Formula

43. DEFINITION The Quadratic Formula

44. Section 10.3 Exercise #10 Chapter 10 Quadratic Equations

46. Section 10.3 Exercise #11 Chapter 10 Quadratic Equations

47. Solve.

50. Section 10.3 Exercise #12 Chapter 10 Quadratic Equations

51. Solve. or

52. Section 10.3 Exercise #13 Chapter 10 Quadratic Equations

53. Solve. or

54. Section 10.3 Exercise #14 Chapter 10 Quadratic Equations

55. Solve. or LCD = 4 Multiply by 4:

56. Section 10.4 Graphing Quadratic Equations

57. OBJECTIVES A Graph quadratic equations.

58. OBJECTIVES B Find intercepts and vertex and graph parabolas involving factorable quadratic expressions.

59. DEFINITION Graph of a Quadratic Equation The graph of y = ax 2 + bx + c is a parabola that

60. PROCEDURE Graphing a Factorable Quadratic Equation 1. Find y -intercept by letting x = 0, then finding y.

61. PROCEDURE Graphing a Factorable Quadratic Equation 2.Find x -intercept by letting y = 0, factoring equation then solving for x.

62. PROCEDURE Graphing a Factorable Quadratic Equation 3.Find vertex by averaging solutions of equation and substituting in equation to find y -coordinate.

63. PROCEDURE Graphing a Factorable Quadratic Equation 4.Plot points found and one or two more points. Curve drawn through points found is graph.

64. Section 10.4 Exercise #15 Chapter 10 Quadratic Equations

65. turns up

66. Section 10.4 Exercise #16 Chapter 10 Quadratic Equations

67. turns up so

68. Section 10.4 Exercise #17 Chapter 10 Quadratic Equations

69. turns down so

70. Section 10.4 Exercise #18 Chapter 10 Quadratic Equations

71. or

74. Section 10.5 Applications: Pythagoras’ Theorem

75. OBJECTIVES A Use the Pythagorean Theorem to solve right triangles.

76. OBJECTIVES B Solve word problems involving quadratic equations.

77. DEFINITION Pythagorean Theorem Square of hypotenuse of a right triangle equals sum of squares of other two sides:

78. Section 10.5 Exercise #19 Chapter 10 Quadratic Equations

79. Find the length of the hypotenuse of a right triangle if the lengths of the two sides are 2 inches and 5 inches.

80. Section 10.5 Exercise #20 Chapter 10 Quadratic Equations

83. Section 10.6 Functions

84. OBJECTIVES A Find the domain and range of a relation.

85. OBJECTIVES B Determine whether a given relation is a function.

86. OBJECTIVES C Use function notation. D Solve an application.

87. DEFINITIONS Relation, Domain and Range A relation is a set of ordered pairs.

88. DEFINITIONS Relation, Domain and Range Domain of a relation is the set of all possible x -values.

89. DEFINITIONS Relation, Domain and Range Range of relation is the set of all possible y -values.

90. DEFINITION Function Set of pairs in which each domain value has exactly one range value. ( no two different ordered pairs have same first coordinate )

91. Section 10.6 Exercise #21 Chapter 10 Quadratic Equations

92. Find the domain and range of

93. Section 10.6 Exercise #22 Chapter 10 Quadratic Equations

94. Find the domain and range of

95. Section 10.6 Exercise #23 Chapter 10 Quadratic Equations

96. State whether each of the following is a function. This is not a function. This is a function. (For every x, unique y)

97. Section 10.6 Exercise #24 Chapter 10 Quadratic Equations

99. Section 10.6 Exercise #25 Chapter 10 Quadratic Equations

100. The average price P ( n ) of books depends on the number n of millions of books sold and is given by the function Find the average price of a book when 20 million copies are sold. The average price is $17.