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Set Theory Exponents Linear Equations Systems of Equations Probability 10 Points 20 Points 30 Points 40 Points 50 Points 10 Points 20 Points 30 Points 40 Points 50 Points 30 Points 40 Points 50 Points Radicals
A = {2, 4, 6, 8} B = {1, 3, 5, 7, 9} A ∩ B
Ø
A = {2, 4, 6, 8} B = {1, 3, 5, 7, 9} A U B
{1, 2, 3, 4, 5, 6, 7, 8, 9}
U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} A = {1, 3, 5} A’ or A C
{2, 4, 6, 7, 8, 9, 10}
A = {1, 2, 3, 4, 5} B = {3, 4, 5, 6, 7} A ∩ B
{3, 4, 5}
A = {1, 2, 3, 4, 5} B = {3, 4, 5, 6, 7} A U B
{1, 2, 3, 4, 5, 6, 7}
(-2) 3
-8
(5x 2 ) 0
1
x 5 ·x -2
x3x3
(x 4 ) 5
x 20
x 9 /x -3
x 12
√80
4√5
√500
10√5
√8√20
4√10
√48 + √75
9√3
√20 + √54 + √45 + √150
5√5 + 8√6
2x – 4y = 8 What is the slope?
1/2
3x + 4 y = -20 Find the y- intercept
-5
4x – 5y = -30 Put the equation in slope-intercept form
Y = 4/5x + 6
Write the equation of a line with slope 3 through (2, -5)
y = 3x -11
Write the equation of a line through (2, 4) & (4, 8)
y = 2x
y = x + 3 y – 2x = 5
(-2, 1)
y = 3x + 8 y – 3x = -7
No solution
x – y = 3 x + 5y = 39
(9, 6)
-2x + 10y = -8 x – 5y = 4
infinite solutions
2x + y = 7 x – 3y = 0
(3, 1)
A bag contains 2 red, 4 blue, 5 white, and 1 yellow marble. What are the odds in favor of choosing a red marble?
1:5
A bag contains 2 red, 4 blue, 5 white, and 1 yellow marble. What are the odds against choosing a blue marble?
2:1
A bag contains 2 red, 4 blue, 5 white, and 1 yellow marble. If two marbles are drawn (with replacement), what is p (red, blue)?
1/18
A bag contains 2 red, 4 blue, 5 white, and 1 yellow marble. If 2 marbles are drawn (without replacement), what is p(red, white)
5/66
If the odds in favor of winning a raffle are 3:47, what is the probability of winning?
3/50
Make your wager
There are 215 seniors. 150 are taking math, 200 are taking science. How many students are taking both math and science?
135