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WorksheetsExam 5 Practice: radicals, imaginary numbes, and quadratics
Total questions: 22
Worksheet time: 2hrs 38mins
Name
Class
Date
1.
Simplify as far as possible: 10xy790x5y
a)
y69x4
b)
y3x
c)
3y6x4
d)
y33x2
2.
a)
2√5
b)
5√5
c)
15√2
d)
10√2
3.
Simplify completely. (3−2)(3+2)
a)
7
b)
9−4
c)
9+4
d)
96
4.
1+6−2 Rationalize the following:
a)
−21+6
b)
−5−2+26
c)
−626
d)
−26
5.
Solve the equation. Remember to check for extraneous solutions.
−5=7x+2−9
a)
x=−10, 8
b)
no solution
c)
x=2
d)
x=8
6.
a)
2
b)
4
c)
6
d)
8
7.
What is the domain of the function
f(x)=6−2xa)
x≤3
b)
x≥3
c)
x≥6
d)
x<3
8.
What is −1 ?
a)
i
b)
−1
c)
−i
d)
1
9.
Simplify −25
a)
i√25
b)
5i
c)
-5i
d)
25i
10.
What is i79 ?
a)
i
b)
1
c)
-1
d)
-i
11.
(3i)(-2+4i)
a)
-6+12i
b)
-12-6i
c)
-2+7i
d)
12+6i
12.
(4 - 2i) - (3 + 6i)
a)
7 - 4i
b)
1 + 4i
c)
1 - 8i
d)
7 - 8i
13.
The expression (2 + 3i)2 is equal to
a)
-5
b)
-5 + 12i
c)
13
d)
13 + 12i
14.
Simplfy.
a)
A
b)
B
c)
C
d)
D
15.
Find the conjugate of:
-4 − 8i
-4 − 8i
a)
-4 + 8i
b)
4 − 8i
c)
4 + 8i
16.
(−18)(−72)
a)
6
b)
90
c)
36
d)
-36
17.
Solve.
25x² + 18 = 2
25x² + 18 = 2
a)
x = ± (i√4)/25
b)
x = ± (-4)/5
c)
x = ± (-8)/5
d)
x = ± (4i)/5
18.
Solve for h.
(h - 2)2 = 9
(h - 2)2 = 9
a)
h = 5, -1
b)
h = 5, -5
c)
h = 5
d)
h = -1
19.
Complete the Square (this is step before you take square root on both sides)
x2 + 6x = 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
20.
w2+7w+4=0
a)
2−7±33
b)
2−7±65
c)
27±33
d)
2−7±311
21.
The discriminant is
a)
aX2 + bX + c
b)
b - 4ac
c)
b2 - 4ac
d)
b2 + 4ac
22.
A function has a discriminant of -3.
______________
How many x-intercepts does it have?
______________
How many x-intercepts does it have?
a)
0
b)
1
c)
2
d)
3
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