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WorksheetsRadicals Unit Test
Total questions: 65
Worksheet time: 7hrs 36mins
Name
Class
Date
1.
To find the square root of a number, you must divide it by 2.
a)
True
b)
False
2.
What is the square root of 289?
a)
13
b)
140
c)
17
d)
18
3.
All the following are Perfect Squares except for which one?
a)
81
b)
121
c)
361
d)
198
4.
√ 16
a)
8
b)
3
c)
4
d)
6
5.
What do we call √ ?
a)
radicand
b)
radical symbol
c)
cube root
d)
index
6.
Evaluate
√36
√36
a)
6
b)
-9
c)
18
d)
-18
7.
Simplify the following radical: √24
a)
2√6
b)
4√6
c)
2√12
d)
3√8
8.
Simplify the following radical: √300
a)
3√10
b)
2√150
c)
100√3
d)
10√3
9.
Simplify the following radical: √275
a)
5√5
b)
5√11
c)
11√5
d)
5√55
10.
Simplify the following radical: √150
a)
5√15
b)
5√2
c)
5√6
d)
15√5
11.
Simplify
3√2 - 3√18
3√2 - 3√18
a)
-4√8
b)
4√9-6√3
c)
5√12
d)
-6√2
12.
Simplify
2√27+3√3
2√27+3√3
a)
15√30
b)
5√3
c)
9√3
d)
9√8
13.
Simplify
√3(4n+√10)
√3(4n+√10)
a)
8n√3+8
b)
8n√3+15
c)
4n√3+√30
d)
7n√3+√9
14.
Simplify (√2-3)(8-√2)
a)
6√2-21
b)
1-16√2
c)
√2
d)
11√2-26
15.
(7 − √2)(5 + √3)
a)
35 + 7√3 − 5√2 − √6
b)
29 + 7√3 − 5√2
c)
35 +√10 − √7 −√6
d)
√50
16.
Simplify (√2+√7)(√2-√7)
a)
5
b)
-5
c)
√14
d)
-√14
17.
a)
A
b)
B
c)
C
d)
D
18.
(√10 )(√12)
a)
√22
b)
2√5
c)
2√30
d)
5√2
19.
Rationalize the expression.
a)
A
b)
B
c)
C
d)
D
20.
Simplify the radical 6√90
a)
10√8
b)
10√18
c)
18√10
d)
18√9
21.
Add: 4√7 - 10 √7 + 7√7
a)
-6√7
b)
14√7
c)
-3√14
d)
√7
22.
Find the product: (3√6)(2√3)
a)
6√18
b)
18√2
c)
54√2
d)
18
23.
Multiply the radicals
(-7+√3)(4+√3)
(-7+√3)(4+√3)
a)
-25-3√3
b)
37+11√3
c)
21-3√3
d)
21+11√3
24.
Simplify:
a)
√5
b)
(√14)/2
c)
√7
d)
Cannot be simplified
25.
Simplify
a)
12√15/15
b)
4√15/5
c)
4/5
d)
Can't Simplify
26.
Simplify √-4
a)
2i
b)
-2i
c)
2
d)
4i
27.
Simplify √-23
a)
-√23
b)
23i
c)
23
d)
i√23
28.
Simplify -√-48
a)
4i√3
b)
-4i√3
c)
i√48
d)
-48i
29.
Simplify √-81
a)
-√81
b)
-9i
c)
9i
d)
81i
30.
Simplify √-28
a)
-√28
b)
-2i√7
c)
2i√7
d)
28i
31.
Simplify √-1
a)
1
b)
-i
c)
-1
d)
i
32.
Simplify 2√-32
a)
2i√32
b)
4i√2
c)
8i√2
d)
-16i√2
33.
Multiply:
(4 – 3i)(-7 – 2i)
(4 – 3i)(-7 – 2i)
a)
A. -23 + 13i
b)
B. -23 - 29i
c)
C. -34 + 13i
d)
D. -34 - 29i
34.
Simplify:
(10+ 15i)-(48 - 30i)
(10+ 15i)-(48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
35.
Simplify
2i - 7i + 10
2i - 7i + 10
a)
10 - 5i
b)
5i
c)
10 + 9i
d)
10 + 5i
36.
Find the sum.
(5-2i) + (-7+8i)
(5-2i) + (-7+8i)
a)
-2+6i
b)
12+6i
c)
-35-16i2
d)
-35 -16i
37.
Multiply:
(2-5i)(2+5i)
(2-5i)(2+5i)
a)
29
b)
4 - 25i
c)
25 - 10i
d)
-21
38.
(2i)(3i)
a)
5i
b)
-5
c)
6i2
d)
-6
39.
(3i)(-2+4i)
a)
-6+12i
b)
-12-6i
c)
-2+7i
d)
12+6i
40.
i13
a)
-1
b)
1
c)
i
d)
-i
41.
i7
a)
i
b)
-i
c)
1
d)
-1
42.
What does i2 = ?
a)
1
b)
-1
c)
√-1
d)
√1
43.
Calculate (multiply):
(4 + 3i)(4 − 3i)
(4 + 3i)(4 − 3i)
a)
16 − 9i2
b)
25
c)
7
d)
8 − 6i
44.
Calculate (multiply):
(1 − 2i)(6 + 5i)
(1 − 2i)(6 + 5i)
a)
16 − 7i
b)
-16 + 7i
c)
-16 − 7i
d)
16 + 7i
45.
(-3i)(i)(5i)
a)
15i
b)
-15i
c)
-15i3
d)
15i3
46.
a)
-24i√7
b)
24i√7
c)
-24√7
d)
24√7
47.
a)
√2
b)
i√2
c)
i2√2
d)
-√2
48.
a)
6
b)
-6
c)
6i
d)
6i2
49.
a)
4i√3
b)
-4i√3
c)
4√3
d)
-4√3
50.
Determine the values of a, b, and c for the quadratic equation:
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
51.
Use the quadratic formula to find the solutions for
y = -x2 - 5x + 12
a)
No Real Solution
b)
c)
d)
52.
a)
A
b)
B
c)
C
d)
D
53.
a)
A
b)
B
c)
C
d)
D
54.
a)
A
b)
B
c)
C
d)
D
55.
Solve using the quadratic formula. f(x) = 2x2- 4x + 7
a)
(2±2i√10)/2
b)
(4±√40)/4
c)
(2±i√10)√/2
d)
(2±2i√40)/4
56.
a)
A
b)
B
c)
C
d)
D
57.
What is the length of the missing side? *NOTE: side lengths of 10 and 12.
a)
15.6
b)
6.6
c)
44
d)
16
58.
What is the height of the cone?
a)
14 cm
b)
8 cm
c)
12 cm
d)
13.9 cm
59.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
60.
The Pythagorean Theorem ONLY works on which triangle?
a)
obtuse
b)
scalene
c)
isosceles
d)
right
61.
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
a)
210 m
b)
180 m
c)
150 m
d)
79 m
62.
What type of special triangle is this?
a)
45°-45°-90°
b)
30°-60°-90°
c)
Equiangular
d)
Equilateral
63.
Which would be the best classification for the triangle shown?
a)
right isosceles
b)
obtuse scalene
c)
obtuse isosceles
d)
right scalene
64.
If the leg of a 45-45-90 triangle is 7 cm long, then its hypotenuse is _____ cm.
a)
7√2
b)
49√2
c)
7
d)
7√7
65.
If the equal sides of an isosceles right triangle measure 12 units, then the measure of the hypotenuse is _____ units.
a)
12√2
b)
2√12
c)
144
d)
144√2
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