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ALGEBRA II H/G REVIEW TEST 3-1

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1 ALGEBRA II H/G REVIEW TEST 3-1
ALGEBRA II HONORS/GIFTED @ REVIEW FOR TEST 3-2

2 QUESTION #1 Write in Scientific Notation correct to four significant digits.

3 ANSWERS TO QUESTION #1 3.457 x 109 1.756 x 107 3.260 x 108

4 QUESTION #2 Expand. (x – 2y)5

5 ANSWER TO QUESTION #2 x5 - 10x4y + 40x3y2 – 80x2y3 + 80xy4 – 32y5

6 Find the 4th term in the expansion of (3x – y)7.
QUESTION #3 Find the 4th term in the expansion of (3x – y)7.

7 ANSWERS TO QUESTION #3 -2835x4y3

8 QUESTION #4 There are 30 members of the tennis team and 38 members of the bowling team. Seven people are members of both organizations. Draw a Venn Diagram and find the probability of a person chosen at random is a member of only the tennis team? Express your answer as a fraction.

9 ANSWER TO QUESTION #4

10 QUESTION #5 Given the word TALLAHASSEE, find the number of… (Write your answers in Scientific Notation correct to four significant digits.) a) …permutations. b) …distinguishable permutations. c) …circular permutations. d) …keychain permutations.

11 ANSWERS TO QUESTION #5 3.992 x 107 8.316 x 105 3.629 x 106 1.814 x 106

12 QUESTION #6 The probability of Michael getting a detention in any one day is P(M)=0.13 and the probability of Hayden getting a detention in any one day is P(K)= Find a) P(M’). b) the probability both get a detention in the same day. c) the probability Michael gets a detention, but Hayden does not get a detention in the same day. d) the probability neither get a detention in the same day. e) the probability at least one gets a detention in the same day.

13 ANSWERS TO QUESTION #6 0.87 0.0117 0.1183 0.7917 0.2083

14 QUESTION #7 Find the term with x5 of the expansion of (3x – 2)10.

15 ANSWER TO QUESTION #7 x5

16 QUESTION #8 Expand. (1 + i)6

17 ALGEBRA II H/G REVIEW TEST 3-1
ANSWER TO QUESTION #8 -8i

18 QUESTION #9 The “Short But Proud” Club consists of 11 men and 9 women.
a) How many committees of 2 men and 3 women be formed? b) What is the probability such a 5-person committee will be formed? Express your answer as a decimal correct to three places.

19 ANSWERS TO QUESTION #9 4620 0.298

20 Probability and Section 5-7
STUDY Probability and Section 5-7

21 S O L U T I N


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