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WorksheetsCh 3 Quiz Review
Total questions: 23
Worksheet time: 6hrs 45mins
Name
Class
Date
1.
a)
7
b)
-7
c)
7i
d)
-7i
2.
a)
4i√3
b)
-4i√3
c)
4√3
d)
-4√3
3.
a)
b)
c)
d)
4.
x2 + 36 = 0
a)
x = ±6
b)
x = 6i
c)
x = -6
d)
x = ±6i
5.
2(x - 8)2 + 40 = 16
a)
x = 8 ± 2i√3
b)
x = 8 ± √-12
c)
x = -8 ± 2i√3
d)
x = 8 ± 3i√2
6.
i13
a)
-1
b)
1
c)
i
d)
-i
7.
(3i)(-2+4i)
a)
-6+12i
b)
-12-6i
c)
-2+7i
d)
12+6i
8.
Calculate:
(4 − 7i) − (-3 + 6i)
(4 − 7i) − (-3 + 6i)
a)
7 − 13i
b)
7 − i
c)
1 − 13i
d)
1 − i
9.
Calculate (multiply):
(4 + 3i)(4 − 3i)
(4 + 3i)(4 − 3i)
a)
16 − 9i2
b)
25
c)
7
d)
8 − 6i
10.
Calculate(Divide, multiply by conjugate):
a)
12/5 − 4/5i
b)
-8/10i − 4/5
c)
-4/5 + 12/5i
d)
12/5 + 4/5i
11.
Factor completely:
3x² + 5x - 12
3x² + 5x - 12
a)
(3x + 4)(x-3)
b)
(3x - 4)(x + 3)
c)
(3x + 3)(x -4)
d)
(3x - 3)(x + 4)
12.
Factor completely: 3x2-8x+4
a)
(3x-4)(x-1)
b)
(3x-2)(x-2)
c)
(x+1)(3x+4)
d)
(x+2)(3x+2)
13.
a)
4x
b)
21
c)
2x-1
d)
10x
14.
a)
2x2 + 3x + 8 + -57/x-4
b)
2x2 - 13x - 56
c)
2x2 + 3x + 8 +7/x-4
d)
2x2 - 3x - 16 + -89/x-4
15.
2x3 - 5x2 + 3x + 7 ÷ x - 2
a)
2x3 - x2 + x + 9
b)
2x2 - x + 1
c)
2x2 - x + 1 + 9/x-2
d)
2x2 - 9x - 15 - 23/x-2
16.
Identify the vertex and whether the graph opens up or down.
a)
(5, 2); opens up
b)
(5, 2); opens down
c)
(-5, 2); opens up
d)
(-5, 2); opens down
17.
Which of the following shows
f(x) = x2 + 12x - 2
written in vertex form?
f(x) = x2 + 12x - 2
written in vertex form?
a)
f(x) = (x + 6)2 + 142
b)
f(x) = (x + 6)2 - 34
c)
f(x) = (x + 6)2 - 38
d)
f(x) = (x + 6)2 + 34
18.
A fountain shoots water in an arc over a lake that can be modeled by the graph of the equation y= -0.4x2 + 8x where x is the horizontal distance (in feet) from the fountain base and y is the height (in feet) above the river. How high does the water go?
a)
It goes 11.78 feet high
b)
It goes 20 feet high
c)
It goes 40 feet high
d)
It goes 10 feet high
19.
A raft is dropped from a helicopter 256 feet in the air above the ocean. Its approximate height, h, after t seconds is given by the function h(t) = -16t2 + 256. How many seconds did it take the raft to hit the water?
a)
-4
b)
2
c)
4
d)
8
20.
Find a polynomial function of least degree that has the zeros: -1, 4, 7.
a)
P(x)=x3+10x2+17x − 28
b)
P(x)=x3+10x2−17x−28
c)
P(x)=x3−10x2+17x+28
21.
a)
A
b)
B
c)
C
d)
D
22.
Find the zeros of the polynomials
a)
A
b)
B
c)
C
d)
D
23.
Write a polynomial function of least degree with integral coefficients that has the given zeros.
a)
A
b)
B
c)
C
d)
D
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