Algebra 2ReviewChallengeAlgebra 2ReviewChallenge
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Common Core Version
Rationalize the denominator:
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10 points
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20 points
Express in simplest a+bi form:
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Find the exact value ofcos 60º + sin 30º – tan 45º
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0
If is an angle in standard positionand B(-3,4) is a point on the terminalside of the angle, what is the value ofsin ?
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30 points
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30 points
Determine an equation for this graph:
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40 points
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40 points
y = 2sin(2x)
For f (x) = sin(x + 4) – 3, find:
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50 points
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a) amplitudeb) midlinec) y-interceptd) x-intercepte) periodf) frequency
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a) 1b) y = -3c) (0,-3.7568024953)d) nonee) 2πf) 1 in 2π
What is the solution set for theequation | 3x – 1 | + 5 = 3 ?
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Solve: x2 – 10x + 18 = 0
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30 points
6
Solve and check:
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No solution
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c = –3
Find the 12th term of the sequencean = n(n + 2).
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168
Find S5 for the sequence
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–22
Find the 9th term of the sequence
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16
Evaluate this series:
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–196
Find the first 4 terms of sequence
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–2, 7, 52, 2707
Write a quadratic equationwhose roots are .
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x2 – 4x + 1 = 0
Which of the following can not bethe roots of a quadratic equation?a) {4, –5} b) {3}c) {2i, –2i} d) {3 + 4i, –3 – 4i}
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20 points
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d) {3 + 4i, –3 – 4i}
Solve for x and express roots in a + bi form:
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x > –1 or x < –7
Solve this system:
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(1, 3)(–1, -1)