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WorksheetsPre-Alg Simplify Rads
Total questions: 70
Worksheet time: 2hrs 14mins
Name
Class
Date
1.
Simplify √40
a)
4√10
b)
10√4
c)
2√10
d)
10√2
2.
Simplify √48
a)
4√2
b)
6√3
c)
4√3
d)
4√2
3.
Simplify √200
a)
14
b)
20√8
c)
5√3
d)
10√2
4.
Simplify √96
a)
4√6
b)
3√6
c)
6√5
d)
6√8
5.
Simplify 2√24
a)
4√6
b)
2√6
c)
24√2
d)
4√4
6.
Simplify 4√75
a)
4√5
b)
12√5
c)
20√3
d)
7√3
7.
Simplify √20
a)
4√5
b)
5√2
c)
2√10
d)
2√5
8.
Simplify √24
a)
2√6
b)
6√2
c)
4√6
d)
2√12
9.
Simplify √27
a)
3√3
b)
3√9
c)
9√3
d)
3√10
10.
Simplify √28
a)
2√14
b)
4√7
c)
7√2
d)
2√7
11.
Simplify √32
a)
4√8
b)
2√8
c)
4√2
d)
16√2
12.
Simplify √45
a)
3√5
b)
5√3
c)
3√15
d)
9√5
13.
Simplify √50
a)
25√2
b)
5√2
c)
2√5
d)
2√25
14.
Simplify √75
a)
3√25
b)
25√3
c)
3√5
d)
5√3
15.
Simplify √150
a)
6√5
b)
5√6
c)
25√6
d)
6
16.
Simplify √80
a)
4√20
b)
2√20
c)
5√4
d)
4√5
17.
Simplify √60
a)
2√15
b)
4√15
c)
15√2
d)
15√4
18.
Simplify √54
a)
6√3
b)
3√6
c)
9√6
d)
6√9
19.
Simplify √72
a)
6√2
b)
2√6
c)
4√18
d)
2√18
20.
Simplify
2√50
2√50
a)
5√2
b)
7√2
c)
10√2
d)
4√5
21.
Simplify √121
a)
11
b)
11√11
c)
1
d)
√121
22.
Simplify √225
a)
√15
b)
5√5
c)
15
d)
√5
23.
Simplify 3√700
a)
21√10
b)
3√7
c)
10√7
d)
30√7
24.
Simplify √49
a)
7√7
b)
√7
c)
7
d)
17
25.
Simplify √128
a)
64√2
b)
16
c)
2√8
d)
8√2
26.
Simplify 5√80
a)
20√5
b)
4√5
c)
5√20
d)
4√5
27.
Simplify:
√160
√160
a)
4√5
b)
4√10
c)
10√4
d)
8√10
28.
Simplify 7√54
a)
7√6
b)
21√6
c)
9√6
d)
3√6
29.
Simplify √16
a)
2
b)
√4
c)
4
d)
8
30.
Simplify √180
a)
6√5
b)
12√15
c)
15√12
d)
5√6
31.
Simplify 2√24
a)
4√6
b)
2√6
c)
24√2
d)
4√4
32.
Simplify 4√8
a)
16
b)
8√2
c)
4√2
d)
2√4
33.
Is π rational or irrational?
a)
rational
b)
irrational
34.
Is √8 rational or irrational?
a)
rational
b)
irrational
35.
Is √19 rational or irrational?
a)
Rational
b)
Irrational
36.
Is √¼ rational or irrational?
a)
Rational
b)
Irrational
37.
Is √7 rational or irrational?
a)
Rational
b)
Irrational
38.
Is √100 rational or irrational?
a)
Rational
b)
Irrational
39.
Is √4 rational or irrational?
a)
Rational
b)
Irrational
40.
Solve for x.
x2= 121
x2= 121
a)
11
b)
-11
c)
11 or -11
d)
60.5
41.
Solve x2 = 9
a)
3, -3
b)
3
c)
81
d)
-81
42.
Solve x2 = 4
a)
16
b)
16, -16
c)
2
d)
2, -2
43.
Solve x2 = 289
a)
17
b)
17, -17
c)
18
d)
18, -18
44.
Solve x2 = 16
a)
4
b)
4, -4
c)
256
45.
Solve
4m2 - 100 = 0
4m2 - 100 = 0
a)
m=25, -25
b)
m=96
c)
m=5, -5
d)
m=-96
46.
Solve:3n2 = 12
a)
9 or -9
b)
4 or -4
c)
6 or -6
d)
2 or - 2
47.
Solve:x2 - 5 = 20
a)
±5
b)
±√5
c)
±√15
d)
±15
48.
Solve: m2 − 36 = 0
a)
6 or -6
b)
6
c)
-6
d)
±√6
49.
Solve: 7v2 + 8 = 15
a)
-1
b)
±√7
c)
±7
d)
±1
50.
Solve: 4c2 + 20 = 36
a)
4 or -4
b)
√2 or -√2
c)
2 or -2
d)
±16
51.
Solve: 3x2 = 300
a)
10
b)
±10
c)
√10
d)
-
±30
±30
52.
Solve: t2 + 8 = 204
a)
± 196
b)
± 16
c)
± 14
d)
±√212
53.
Find the length of the missing side.
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
54.
Find the length of the missing side.
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
55.
Find the length of the missing side.
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
56.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
57.
solve for c
a)
7
b)
9
c)
4
d)
13
58.
Find the missing side
a)
29.2
b)
20
c)
400
d)
10
59.
Find the length of the missing side.
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
60.
Find the missing side
a)
48
b)
108
c)
83.6
d)
72
61.
Find the distance between J and K.
a)
8.2
b)
7.7
c)
9
d)
10.2
62.
Find the distance.
a)
9.7
b)
10.7
c)
11.7
d)
12.7
63.
Find the distance between (1, 3) & (5, 6)
a)
3
b)
4
c)
5
d)
6
64.
Calculate the distance between (50, 45) and (20, 5)
a)
45
b)
55
c)
No solution
d)
50
65.
Find the distance.
a)
7.1
b)
7.8
c)
8.7
d)
8.9
66.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
67.
Find the midpoint of the segment with the endpoints:(6, 7) and (6, -5)
a)
(0, -1)
b)
(6, 1)
c)
(1, 6)
d)
(0, 1)
68.
Find the midpoint of the segment with the endpoints: (-4, 5) and (7, -9)
a)
(-1.5, 2)
b)
(5.5, -7)
c)
(-2, 1.5)
d)
(1.5, -2)
69.
Find the midpoint of the segment with the endpoints:(4, 12) and (-6, 14)
a)
(-1, 13)
b)
(13, 1)
c)
(13, -1)
d)
(5, 13)
70.
Find the midpoint of the segment with the endpoints: (-4, 5) and (7, -9)
a)
(-1.5, 2)
b)
(5.5, -7)
c)
(-2, 1.5)
d)
(1.5, -2)
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