Functions
Is the following a function?
(4, -3), (3, 0), (5, -3), (1,0)
Yes (there are no x's that repeat)
Find the product:
(t-9)(t+12)
t2 + 3t - 108
5y2 + 39y - 8
Method 3
Compute the following.
9P5
15120
What is the probability of drawing a king OR a spade from a standard deck of 52 cards? answer in percentage.
P(E) = 4/52 + 13/52 - 1/52 = 16/52 = 4/13
31%
Write the following domain and range in correct form.
x's: 3, -2, 0, 5, 10
y's: -9, 10, -4, 3, 2
D: (-2, 0, 3, 5, 10)
R: (-9, -4, 2, 3, 10)
(7x + 3)(y - 2)
7xy - 14x +3y -6
4x2 - 24x
Method 1 (GCF)
Mrs. Renada has several different options when it comes to picking the schools cheering uniform. She needs to choose from 6 different styles, 7 different colors, and 2 different textures. How many different options does Mrs. Renada have?
84
A coin is tossed and a die is rolled. What is the probability of the coin landing on heads AND rolling a 6? Answer in percentage.
P(E) = 1/2 x 1/6 = 1/12 OR 8%
Tell whether or not the following is a function. Explain.
Not a function because it fails the vertical line test.
Factor.
6x2y + 2x
2x(3xy + 1)
x2 - 12x + 36
Method 2
How many 4-colored groups can be selected from 13 different colored balloons?
Combination:
13!/((13-4)!4!)
715
When rolling 2 dice, what is the probability of getting doubles OR adding to 6? Answer in percentage.
P(E) = 6/36 + 5/36 - 1/36 = 10/36
28%
True or false: the following mapping illustrates a function.
False (the same x repeats)
Factor difference of squares.
36y2 - 16
(6y + 4)(6y - 4) <-- this will get you partial credit on a test
2(3y +2)(3y - 2) <-- actual answer
3x2 - 9
Method 5 (difference of squares)
Jack has a reading list of 12 books. How many ways can he select 9 books from the list to check out of the library?
Combination
220
There are 10 yellow starburst, 5 pink starburst, and 3 red starburst left in Mrs. Boynton's bag. What is the probability of drawing a yellow then a red? Answer in percentages.
P(yellow and red) = P(yellow) x P(red)
= 10/18 x 3/17 = 30/306 = 9.8%
9.8%
Is the following a function? Why or why not?
D: (1, 2, 3)
R: (1, 2, 4, 5)
No, because the domain repeats (x goes to more than 1 y)
Factor using Method 3:
11x2 -78x +7
(11x - 1)(x - 7)
25z2 - 144
Method 5 (difference of squares)
Mrs. Boynton has 3 prizes to give away for the first 3 places at a cross country meet: 1st place gets $100, second place gets a king size pack of reese's peanut butter cups, and third place gets a gallon of water. If there are 20 runners, how many different ways can these prizes be awarded?
6,840
Y N Totals
Treatment 0.43 0.07 0.5
Control 0.25 0.25 0.5
Totals 0.68 0.32 1.0
Probability of the test subject improving given they are in the control group?
P(Y/C) = P(Y and C)/P(C)
= 0.25/0.5 = 0.5
50%