Advanced Algebra 2 Final Exam Review

1) Simplify 2) Simplify

3) What is the domain of ? 4) What is the domain of ?

7) Find 8)

9) Find 10) Find

11) Find 12) Find

13) Solve 14) Solve

15) Solve

16) If varies directly as and when , what is when is 12?

17) If varies inversely as and when , what is when is 8?

18) Suppose varies jointly as . If when and , find when and .

19) If varies directly as and when , find when .

20) Find 21) Find

22) Find 23) Find

24) Find 25) Find 26) If varies inversely as and when , find the constant of variation.

27) Solve 28) Solve

29) If varies directly with and when , find y when .

30) If varies inversely with and when , what is when ?

31) If varies jointly as and if when and , what is when and ?

32) Describe what transformation occurred to the parent function

33) Simplify

38) Rewrite each rational exponent expression in radical form and simplify

39) Rewrite as an expression with rational exponents

40) Solve 41) Solve 42) Solve 43) Solve

44) Solve 45) Solve

46) Find the 28th term of the arithmetic sequence in which

47) Find the arithmetic means of 6, ____, ____, ____, 72.

48) Evaluate

49) What is for the arithmetic series in which

50) Find the 7th term of the geometric sequence in which

51) Find the sum of the infinite geometric series in which

52) An English class can choose from 6 books to read this semester. How many different ways can a student choose and read 5 of them?

53) A menu at a restaurant offers 9 different appetizers. How many different ways can a group order 4 appetizers?

54) A man is redecorating his bedroom. He can choose from 5 paint colors, 6 beds, and 5 dressers. How many ways can he choose to design his room? 55) What is the probability that a card drawn from a standard deck is black and a 10?

56) Which is the probability two 1-6 number cubes land on an even number?

57) There are 5 blue marbles and 6 white marbles in a bag. What is the probability of picking a blue and then a white if the blue IS NOT replaced?

58) If

59) If

60) If

61) Find

62) Find

63) Find

64) Find

65) If find:

66) If find: 67) A segment has endpoints with coordinates . Find the length and the midpoint of the segment.

68) A segment has endpoints with coordinates Find the length and the midpoint of the segment.

69) Write the equation of a circle with and center .

70) Find the center of the circle with the equation

71) Find the center of the circle with the equation

72) Graph 73) Graph

74) Graph 75) Graph

76) Find the foci and the major axis of the ellipse:

77) Find the foci and the major axis of the ellipse: 78) Find the vertices of the hyperbola:

79) Find the vertices of the hyperbola:

80) Find the foci the ellipse:

81) Find the foci the ellipse:

Classify the following as the equation of a line, parabola, ellipse, hyperbola, or a circle.

82) 85)

83) 86)

84) 87)