WorksheetsSolutions to Equations with Squares and Cubes
Total questions: 20
Worksheet time: 44mins
Name
Class
Date
1.
The number 512 is a perfect cube because 512 = 83.
Which number below is also a perfect cube?
a)
125
b)
300
c)
150
d)
256
2.
Solve for x.
x2 = 64
a)
x=±8
b)
×=±32
c)
×≡8
d)
×=−8
3.
The area of a square painting is 81 cm2. What is the side length of the painting?
a)
40.5 cm
b)
162 cm
c)
6,561 cm
d)
9 cm
4.
38=
a)
2
b)
-2
c)
±2
d)
None
5.
The number 1,000 is a...
a)
perfect square
b)
perfect cube
6.
Determine which is perfect square?
a)
54
b)
36
c)
21
d)
43
7.
Find the cube root(s): ∛1
a)
1
b)
-1
c)
±1
d)
none
8.
x2 = 25
a)
x = 5
b)
x = -5
c)
x = ±5
d)
x = 25
9.
x2 + 5 =69
a)
x = 8
b)
x = ±8
c)
x = -4
d)
x = ±4
10.
2x2 = 200
a)
x = ± 14.14
b)
x = ± 100
c)
x = ± 14.15
d)
x = ± 10
11.
Solve for x.
x3 = 1000
x3 = 1000
a)
x = 8
b)
x = 5
c)
x = 10
d)
x = 20
12.
Solve for x.
x3 = 8
x3 = 8
a)
x = 24
b)
x = 2
c)
x = 2 ⅔
d)
x = 4
13.
Solve for x.
x2 = 64
x2 = 64
a)
x = 8
b)
x = 32
c)
x = 4
d)
x = 128
14.
A cube with an edge of length x has a volume of 125 cm3. What is the length of one edge (x)?
a)
25 cm
b)
15 cm
c)
5 cm
d)
12 cm
15.
Brent is making a square garden in his yard. He plans on using 100 yd2 of his backyard for the garden. What is the length of one side of the garden?
a)
5 yds
b)
10 yds
c)
25 yds
d)
50 yds
16.
The area of a square painting is 81 cm2. What is the side length of the painting?
a)
40.5 cm
b)
162 cm
c)
6,561 cm
d)
9 cm
17.
Select ALL OF THE perfect cubes
a)
2
b)
8
c)
27
d)
64
e)
9
18.
Which number is both a perfect square and a perfect cube?
a)
64
b)
27
c)
81
d)
16
19.
What number, n, cubed is equal to 64?
n3 = 64
a)
4
b)
2
c)
8
d)
262,144
20.
Yesterday there where b milligrams of bacteria in a Petri dish. Today there are b2 milligrams of bacteria in the same Petri dish. If there are 400 milligrams of bacteria today, how many milligrams of bacteria where there yesterday?
a)
20 milligrams
b)
200 milligrams
c)
1,600 milligrams
d)
160,000 milligrams
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