Download Fall Semester Final Exam Review EF

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Accelerated Geometry CC Fall Semester Final Exam Review
1. For the function
, find the vertex and axis of symmetry.
2. Which variable determines if the graph of
describing your answer.
opens up or down? Write an inequality
3. Find the maximum or minimum value for each of the following.
A.
B.
C.
D.
4. Find the vertex and roots for each of the following
A.
B.
C.
D.
?
5. What is the factored form of the expression:
6. Write in vertex form
?
.
7. Find the solutions of each of the following equations.
A.
B.
8. What is the average rate of change of
9. What is the value of c if the discriminant of
C.
on the interval
is
10. What does it tell us about the parabola if the discriminant is
A. positive
B. negative
C. zero
?
?
11. Simplify each of the following expressions
A.
√
.
B.
C.
√
√
12. Find the magnitude (absolute value of)
A.
B.
C.
13. What is the mean of the data set {5, 7, 8, 10, 12, 14, 14, 15, 16, 21} ?
14. Find the standard deviation of the data set?
{ 1, 2, 8, 11, 7, 10, 7, 2 }
15. Scores on a test are normally distributed with a mean of 75 and a standard deviation of 8. Find the
standard normal value (z-score) for 87.
16. Scores on a test are normally distributed with a mean of 75 and a standard deviation of 8. Estimate the
probability that a randomly selected student scored less than 87.
17. Scores on a test are normally distributed with a mean of 75 and a standard deviation of 8. Estimate the
probability that a randomly selected student scored more than 71.
18. Scores on a test are normally distributed with a mean of 75 and a standard deviation of 8. Estimate the
probability that a randomly selected student scored between 71 and 75.
19. Give an example of each type of sampling listed below.
A. Convenience sample
B. Self-selected sample
C. Stratified sample
D. Systematic sample
20.
A. What is the probability that a dart thrown at the target below lands inside the circle?
B. What is the probability that it lands in between the circle and the square?
21. The distribution of the number of TV’s per household is shown in the table below.
TV’s
Households
0
30
1
90
2
50
3+
40
A. What is the probability that the number of TV’s per household is less than 2?
B. What is the probability that the number of TV’s per household is greater than 1?
C. The probability that the number of TV’s per household is greater than 2 is equal to the complement
(1 - ) of the probability that the number of TV’s per household is ______________________.
Multiple Choice.
22. You roll 1 number cubes and flip 2 coins. How many outcomes are possible?
A. 3
B. 10
C. 12
D. 24
23. A movie theater sells 3 sizes of popcorn (small, medium, and large) with 3 choices of toppings (no butter,
butter, extra butter). How many possible ways can a bag of popcorn be purchased?
A.
B.
C.
D.
24. Your teacher randomly selects students to present their projects. You and your best friend are among 10
students who will be presenting today. What is the probability that you are chosen to present first and your
friend is chosen to present second?
A.
B.
C.
D.
25. There are 12 athletes in a running competition. The top three runners move on to the state meet. How
many different groups of runners could advance to the next level of competition?
A. 36
B. 120
C. 220
D. 1320
26. You roll a number cube. What is the probability that you will roll a 3 or a number less than 5? Round your
answer to the nearest hundredth.
A. 0.17
B. 0.33
C. 0.50
D. 0.67
27. Two cards are drawn at random from a standard deck of 52 cards, without replacement. What is the
probability of drawing a 7 and a king in that order?
A.
B.
C.
D.
28. At a raffle, 100 tickets are sold at $10 each. There are three prizes: $50, $100, and $500. You buy one
ticket. What is the expected value of your gain?
A.
B.
C.
D.
29. The weekly salaries of six employees at McDonalds are $140, $220, $90, $180, $140, $200. For these
six salaries, find the median.
A.
B.
C.
D.
30. Your state issues license plates consisting of letters and numbers. There are 26 letters and the letters may
be repeated. There are 10 digits and the digits may be repeated. How many possible license plates can be
issued with two letters followed by three numbers?
A. 26,000
B. 67,600
C. 676,000
D. 6,760,000
31. Your state issues license plates consisting of letters and numbers. There are 26 letters and the letters may
not be repeated. There are 10 digits and the digits may not be repeated. How many possible license plates
can be issued with two letters followed by three numbers?
A. 468,000
B. 650,000
C. 676,000
D. 6,760,000
32. You toss a coin and roll a six-sided die simultaneously. What is the probability of tossing a tail and rolling
an even number?
A.
B.
C.
D.
33. Out of the 55 students in the 5th grade, 12 are girls and sing in the choir. There are 30 students who are
girls and there are 22 students who are in the choir. What is the probability that a randomly selected
5th grader is a girl or sings in the choir?
A.
B.
C.
D.