Simplify (imaginary #)
Probability
Condensing and Expanding Logarithms
Simplify- Radicals
Composite Functions
100
(-4 + 2i) + (6 - 3i)
2 - i
100
You have a 52 card deck. If you draw one card, what is the probability of drawing a diamond and black?
Probability is 0
100
Fully expand the logarithm:
log (5x)
log (5) + log (x)
100
sqrt(-36)
6i
100
Use f(x) = 5x + 4 and g(x) = x2 - 3x to complete the following:
f(x) + g(x)
x2 +2x + 4
200
(5 - 4i) + (-7 + 6i)
-2 + 2i
200
You are rolling a 12 sided dice. What is the probability that you will roll an even number?
1/2 or 50%
200
Fully expand the logarithm:
log (3x2y)
log (3) + 2log (x)+ log (y)
200
sqrt (75
5sqrt(3)
200
Use f(x) = 5x + 4 and g(x) = x2 - 3x to complete the following:
g(x) - f(x)
x2 - 8x - 4
300
(2 + 3i) - (4 - 6i)
-2 + 9i
300
You are rolling a 12 sided dice. What is the probability that you will roll an even number that is larger than 4?
5/6 or 83.3%
300
Fully expand the logarithm:
Log_4(5/y^2)
log_4 (5) - 2log_4(y)
300
sqrt(72
6sqrt2
300
Use f(x) = 5x + 4 and g(x) = x2 - 3x to complete the following:
f(x) - g(x)
-x2 + 8x + 4
400
(4 - 2i)(3 + 2i)
16 + 2i
400
A coin is flipped and a spinner with 10 sections (#1-10). What is the probability of heads and odd?
1/4 or 25%
400
Condense the logarithm:
2Log(x)+log(5)+3log(y)
log(5x^2 y^3)
400
sqrt (-16)
4i
400
Use f(x) = 5x + 4 and g(x) = x2 - 3x to complete the following:
5x2 - 15x +4
500
(5 + 2i)(3 - 4i)
23 - 14i
500
You have a bag of marbles with 3 yellow, 5 green and 2 white. If I grab 2 marbles WITHOUT replacing, what is the probability that I will grab 2 yellow marbles?
1/15
500
Condense the Logarithm:
log_7(y) - 3log_7(x)
log_7(y/x^3)
500
sqrt (-8)
2i sqrt2
500
Use f(x) = 3x + 2 and g(x) = x2 +5x to complete the following:
3x2+ 15x +2