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Algebra 2 · Math
Final Test — Form A
Name Luca · Date 5/12
All topics. Show your work and give exact answers unless told to round.
1.
Transform: (x − 4)2 + 3
right 4, up 3
1
2.
(2 + 5i)(3 − 4i)
26 + 7i
2
3.
Vertex of y = −2(x + 1)2 + 5; opens up or down?
(−1, 5), opens up
3(−1,5) opens down
4.
(5x3 + x2 − 4x + 7) − (2x3 − 3x2 + 4x − 1)
3x3 + 4x2 − 8x + 6
43x3+4x2−8x+8
5.
Factor: 27x3 + 8
?
5(3x+2)(9x2−6x+4)
6.
(2x3 − 5x2 + 3x − 4) ÷ (x − 3)
2x2 + x + 6, r 14
6
7.
163/4; x2/5 → radical
8, ⁵√x2
7
8.
(x2 − 9x + 20)/(x2 − 16)
(x−5)/(x+4)
8
9.
f(x) = 3 · 2x, x = −2
3/4
9
10.
log2 32; expand log5(25x)
5
102 + log5x
11.
a1 = 15, d = 8: a15, S15
127; 1065
11
12.
Factor x3 − 5x2 + 2x − 10
(x − 5)(x2 + 2)
12
13.
Solve x2 − 6x + 13 = 0 → a ± bi
3 ± 4i
133 ± 2i
Vertex direction · Q3
Vertex (−1, 5) is right. But a = −2 is negative, so it opens down.
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Reading the worksheet...
Score
0/130%
62
Great effort, Luca. A few to review — the vertex direction, the subtraction, the log expansion, and the last step of the quadratic formula.
3Parabola opens down (a < 0)
13Divide all of it by 2