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Name _____________________________
Date ___________________

Radicals
(Answer ID # 0350915)
Simplify.
1.  
 -10 
64
2.  
 7 
4

25
3.  
 6 
49

Simplify.
4.  
 2 
0.0064
5.  
 -6 
0.81
6.  
 7 
0.36

Simplify.
7.  
 7 
169

    -   
 2 
36
8.  

(
 4 
81


)		2
9.  
 7 
49

 9 
25

Simplify.
10.  
(
 7 
0.0009

)(
 5 
0.81

)
11.  
 -12 
0.0016

    -   
 9 
0.0025
12.  

(
 10 
0.25


)		2

 

Simplify.
13.  
  
48
14.  
  
32
15.  
  
72

Simplify.
16.  
  
64
17.  
  
486
18.  
  
288

Simplify.
19.  
 -100 
84
 10 
7
20.  
(
 12 
1584
)(
 7 
1200
)

Simplify.
21.  
  
12
   +   
 2 
12
22.  
 7 
14
   -   
 9 
14

 

Simplify.
23.  
 2 
612
(
 8 
17
   +   
 7 
17
)
24.  
  
2
(
1

2
  
2
   +   
 8 
50
)

Simplify.
25.  
(
9  -  
 6 
13
)(
9  +  
 11 
13
)
26.  
(
-4  +  
  
2
)(
-2  +  
  
2
)

Simplify.
27.  
(
  
15
  -  6
)(
4  +  
  
7
)
28.  
(
  
10
  -  7
)(
  
12
  +  8
)

Simplify.
29.  
  
d7i6
30.  
  
gi3
31.  
  
f11

 

Simplify.
32.  
  
c3
k5
33.  
  
j6
e8i7
34.  
  
h4b9
g

Simplify.
35.  
  
40 - 3x
  +  6  =  13
36.  
  
-2x + 146
  =  12
37.  
  
-4x - 11
  -  7  =  -2

Simplify.
38.  
  
-3x + 54
  =    x  
39.  
  
11x - 30
  =    x  
40.  
  
-9x + 22
  =    x  

Simplify.
41.  
  
6x - 51
  =  x - 7
42.  
  
27x - 128
  =  x + 2
43.  
  
20x + 56
  =  x + 6

 

Find the distance between P and Q.
44.  
P
(-6  ,  
-1
7

11
)
  and
Q
(-9  ,  -17)
45.  
P
(-7  ,  12)
  and
Q
(-3  ,  6)

Find the midpoint between the two points.
46.  
P
(3  ,  -9)
  and
Q
(-6  ,  -12)
47.  
P
(-5  ,  7)
  and
Q
(4  ,  -3)

Find the distance between P and Q and the coordinates of the midpoint between the two points.
48.  
P
(-3  ,  -12)
  
Q
(-13  ,  -19)
49.  
P
(5  ,  2)
  and
Q
(0  ,  -8)

Find the distance between P and Q.
50.  
P
(
10
  
5
  ,  
2
  
10
)
  and
Q
(
13
  
5
  ,  
8
  
10
)
51.  
P
(
6
  
2
  ,  
8
  
2
)
  and
Q
(
13
  
2
  ,  
26
  
2
)

 

Find the midpoint between the two points.
52.  
P
(
7
  
7
  ,  
11
  
10
)
  and
Q
(
11
  
7
  ,  
14
  
10
)
53.  
P
(
7
  
10
  ,  
12
  
6
)
  and
Q
(
11
  
10
  ,  
19
  
6
)

Find the distance between P and Q and the coordinates of the midpoint between the two points.
54.  
P
(
7
  
10
  ,  
4
  
5
)
  and
Q
(
16
  
10
  ,  
13
  
5
)
55.  
P
(
4
  
2
  ,  
6
  
5
)
  and
Q
(
13
  
2
  ,  
11
  
5
)

Point M is the midpoint between the points P and Q. Find the coordinates of the missing point.
56.  
P
(-6  ,  10)

M
(
-14
1

2
  ,  7)
57.  
Q
(-5  ,  -2)

M
(
-6
1

2
  ,  1)

Point M is the midpoint between the points P and Q. Find the coordinates of the missing point.
58.  
P
(
5
  
3
  ,  
3
  
2
)

M
(
19
  
3
2
  ,  
11
  
2
2
)
59.  
Q
(
14
  
5
  ,  
13
  
10
)

M
(
19
  
5
2
  ,  
10
  
5
)

 

Given right triangle ABC with hypotenuse c and sides a and b, calculate the length of the missing side.
60.  
a  =  6

b  =  7

c  =    ?  
61.  
a  =  9

b  =    ?  

c  =  
  
181
62.  
a  =  4

b  =  8

c  =    ?  

Given right triangle ABC with hypotenuse c and sides a and b, calculate the length of the missing side.
63.  
a  =  3

b  =  
 4 
3

c  =    ?  
64.  
a  =  
  
33

b  =    ?  

c  =  
  
93
65.  
a  =    ?  

b  =  
  
43

c  =  
  
57

 

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