Algebra 3

*Semester 2 Final Review

Ex: Given f(x)

Answer: 1

Ex: Describe the transformation of g(x) = from f(x) = x2

Answer: right 1, down 7

Ex: A woman is redecorating her bedroom. She can choose from 6 paint colors, 4 beds, and 6 dressers. How many ways can she choose to design her room?

Answer: 108

Ex: Fourteen high school students are running for student council positions of president, vice president, and secretary. How many ways can these 14 students fill the 3 positions?

Answer: 2184

Ex: A menu at a restaurant offers 10 different appetizers. How many ways can a group order 5 appetizers?

Answer: 252

Ex: Below is the results of a person rolling a number cube 100 times. What is the experimental probability that a person rolls a 1 or a 6?

Answer: 24%

Number Frequency

1 17

2 10

3 33

4 13

5 20

6 7

Ex: What is the probability that a point chosen at random is inside the shaded area?

Answer: 56%

Ex: A person counted the number of candy he had of each flavor. The results are shown below. If he picks a piece at random, what is the probability that the candy is orange?

Answer: 21%

Ex: A company is testing a new method of manufacturing a part for their machines. They tested parts using the old and new methods. What is the probability that a part chosen at random from this group is new and passed the test?

Answer: 8.8%

New Old

Passed

6 25

Failed 3 34

Ex: Find all the zeros for the equation:

= 0

Answer: x = 0, 6, -3

Ex: Find all the zeros for the equation:

= 0

Answer: x = 2,

Ex: The table below shows the population of a city from 1970 to 2000. Write a polynomial function for the data. (start with 1970 as year zero and use the best answer given.)

Answer:

Year 1970 1980 1985 1900 2000

Pop. 50 18450 59525 137850

454250

Ex: Write the equation of a trigonometric function with a phase shift of left 90o and an amplitude of 5 from the parent function y = cosx

Answer: y = 4cos(x – 90o)