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Worksheets3.1-3.4 Precalculus Quiz Review
Total questions: 25
Worksheet time: 6hrs 15mins
Name
Class
Date
1.
a)
7
b)
-7
c)
7i
d)
-7i
2.
a)
2i√6
b)
8i√3
c)
-2√6
d)
-2i√6
3.
a)
√2
b)
i√2
c)
i2√2
d)
-√2
4.
a)
6
b)
-6
c)
6i
d)
6i2
5.
x2 + 36 = 0
a)
x = ±6
b)
x = 6i
c)
x = -6
d)
x = ±6i
6.
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
7.
a)
30
b)
30i
c)
-30
d)
-30i
8.
i13
a)
-1
b)
1
c)
i
d)
-i
9.
i7
a)
i
b)
-i
c)
1
d)
-1
10.
Calculate:
(4 − 7i) − (-3 + 6i)
(4 − 7i) − (-3 + 6i)
a)
7 − 13i
b)
7 − i
c)
1 − 13i
d)
1 − i
11.
Calculate:
(1 − 2i) + (-4 + 2i)
(1 − 2i) + (-4 + 2i)
a)
-3
b)
-3 − 4i
c)
5 − 4i
d)
5
12.
Calculate (multiply):
(4 + 3i)(4 − 3i)
(4 + 3i)(4 − 3i)
a)
16 − 9i2
b)
25
c)
7
d)
8 − 6i
13.
Calculate (multiply):
(1 − 2i)(6 + 5i)
(1 − 2i)(6 + 5i)
a)
16 − 7i
b)
-16 + 7i
c)
-16 − 7i
d)
16 + 7i
14.
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
15.
Calculate(Divide, multiply by conjugate):
a)
-3/4 − 1/4i
b)
3/4 + 1/4i
c)
-3/4 + 1/4i
d)
3/4 − 1/4i
16.
What is the vertex for
f(x)=4(x-2)2 + 3
f(x)=4(x-2)2 + 3
a)
(-2, 3)
b)
(2,-3)
c)
(4,3)
d)
(2,3)
17.
If path of a projectile is modeled by:
h(t) = -16t2 + 20t +6, what is the height after 1 second?
h(t) = -16t2 + 20t +6, what is the height after 1 second?
a)
6 feet
b)
20 feet
c)
10 feet
d)
4 feet
18.
A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t2 + 90t gives the height h of the ball after t seconds.
What is the maximum height of the ball?
What is the maximum height of the ball?
a)
126.56 ft
b)
5.625 sec
c)
2.81 sec
d)
90 ft
19.
A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t2 + 90t gives the height h of the ball after t seconds.
How many seconds will it take the ball to hit the ground?
How many seconds will it take the ball to hit the ground?
a)
126.56 ft
b)
5.625 sec
c)
2.81 sec
d)
0 ft
20.
If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation
h(t) = -16t2 +128t
When will the object reach its maximum height?
h(t) = -16t2 +128t
When will the object reach its maximum height?
a)
4 ft
b)
0 seconds
c)
0 ft
d)
4 seconds
21.
Write the equation of a parabola of the form y=a(x−h)2+k that has a vertex of (2, -1) and passes through the point (-1, -19).
a)
y = 2(x−2)2−1
b)
y = −2(x+2)2−1
c)
y = −2(x−2)2−1
d)
y=−2(x−2)2+1
22.
Find the vertex of
f(x) = -x2 - 4x + 12
f(x) = -x2 - 4x + 12
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
23.
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
y = x2 - 6x + 11?
a)
(3,2)
b)
(-3,-2)
c)
(-3,2)
d)
(3,-2)
24.
Convert the equation P(x) = x2-2x-5 into vertex form.
a)
y= (x-1)2-6
b)
y= -(x-1)2-6
c)
y= (x+1)2-6
d)
y= -(x+6)2-1
25.
Convert f(x) = 4x2 - 32x + 2 to vertex form.
a)
f(x) = 4(x + 4)2 - 62
b)
f(x) = 4(x - 4)2 - 62
c)
f(x) = 4(x - 8)2 - 62
d)
f(x) = 4(x + 8)2 - 62
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