Practice Page

Directions: Answer these questions pertaining to working with irrational values.
Choose the best answer.

1.
Solve the equation:   x2 = 121.

smilehand2
  Choose:
 
± 9
± 11
± 13
± 21

 

 

2.
Find the positive solution:   x2 = 18.

smilehand4
   Choose:
 
rad18
rad9
rad6
rad3

 

 

3.
Find the negative solution:   x2 = 24.

smilehand3
   Choose:
 
-2rad12
-3rad8
-6rad2
-2rad6

 

 

4.
Solve the equation:   x3 = 64.

smilehand1
   Choose:
 
-4
+4
-8
+8

 


5.
Solve the equation:   x2 - 100 = 0.

smilehand5
   Choose:
 
± 10
10 only
± 25
± 2rad5

 

 

6.
Find the length of the hypotenuse of a right triangle whose legs measure 8 units and 15 units.

bluetriangle
   Choose:
 
16
17
18
19

 

 

7.
Find the length of the hypotenuse of a right triangle whose legs measure 6 units and 4 units.

redtriangle
   Choose:
 
4rad13
3rad6
2rad13
6rad3

 

 

8.
Find the length of the side of a right triangle whose leg measures 12 inches and whose hypotenuse measures 13 inches.
greentriangle
   Choose:
 
5
8
9 11

 

 

9.
Find the side of a cube whose volume is 64 cubic units.

orangecube
   Choose:
 
4
6
8
12

 

 

10.
Three cubes of equal size (congruent) are placed in a row as shown, so their sides are touching. If the volume of one cube is 24 cubic units, find the total length of the three cubes to the nearest tenth of a unit.
3cube
   Choose:
 
2.9 units
8.4 units
2.8 units
8.7 units




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