Algebra 2ReviewChallenge 2Algebra 2ReviewChallenge 2
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Common Core Version
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If f (x) = x² – 4x + 4,find the value of f (–3a).
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10 points
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9a2 + 12a + 4
10 points
Which of the following relations is a function?
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20 points
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1) y = |2x + 1| + 5 2) x² + y² = 36
3) x = 3
20 points
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Choice 1
20 points
Is f (x) = x3 – x odd, even or neither?
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30 points
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Odd: f (-x) = -f (x)
30 points
40 points
Find the domain of
Express answer in interval notation.
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f (x) =
x – 1
√
x + 3
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40 points
[–3,1) U (1,∞)
Find the inverse of thefunction
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50 points
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50 points
f (x) =
x
x + 3
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50 points
f -1 (x) =
3
x – 1
Grades: 100, 95, 55, 85, 100, 75For this set of grades, how manygrades are within one standarddeviation of the mean?
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10 points
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10 points
5 scores
On a standardized test, a scoreof 82 falls exactly 1 standarddeviation below the mean. Ifthe standard deviation for the test is4, find the mean score for the test.
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20 points
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20 points
86
In a normal distribution, 68%of the scores fall between 72 and86 with a mean of 79. Find thestandard deviation?
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30 points
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30 points
7
Battery lifetime is normally distributedfor large samples. The mean lifetimeis 500 days and the standard deviation is 61days. To the nearest percent, what percentof batteries have lifetimes longer than 561days?
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40 points
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40 points
16%
A sampling distribution used toestimate a population proportion,p, yielded a value of 0.25. Find themargin of error that corresponds to asample size of 600 and a confidencelevel of 95%. (round to 3 decimal places)
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50 points
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50 points
0.035
Simplify:
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10 points
x(x + 5)(2x – 1) – (x3 – 3x2 + 2x + 4)
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10 points
x3 + 12x2 – 7x – 4
Find the remainder when
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20 points
P(x) = 5x4 – 20x2 – 84 is divided by (x + 5).
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20 points
2541
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30 points
x + 5
On what interval(s) isthe function f (x) = x3 – xnegative?
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40 points
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40 points
(–∞, –1) U (0, 1)
x4 – 3x2 – 4 = 0
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50 points
Solve:
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50 points
x = ±2; x = ±i
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10 points
–i
Simplify: (4 + 10i) – (–12 + 20i)
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20 points
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20 points
16 – 10i
Simplify: (3 + 2i)(4 + 5i)
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30 points
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30 points
2 + 23i
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40 points
125
Find: (-1 + i)3
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50 points
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50 points
2 + 2i
Solve for x: 93x = 81x–4
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10 points
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10 points
–8
Solve for x: log5x = 2
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20 points
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20 points
25
Solve for x: log(x) = log(1 – x)
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30 points
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30 points
x = 1/2
Solve for xto the nearest hundredth:12e0.34x = 50
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40 points
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40 points
4.20
Find the domain ofy = ln(x + 3)
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50 points
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50 points
(–3,∞)