WorksheetsSquare and Cube Root Equations
Total questions: 23
Worksheet time: 53mins
Name
Class
Date
1.
2x2= 30
a)
x= √5
b)
x= √30
c)
x= √15
d)
x= ±5
2.
x2=25
a)
x = 5
b)
x = -5
c)
x = ±25
d)
x = ±5
3.
2x2=100
a)
x = √25
b)
x = ±5√2
c)
x = √100
d)
x = ±√5
4.
x2−10=19
a)
x = √29
b)
x = ±2√9
c)
x = ±29
d)
x = ±5√19
5.
3x2+12=39
a)
x = √27
b)
x = ±3√27
c)
x = ±3
d)
x = ±9
6.
(x + 3)2 = 36
a)
x = √36
b)
x = √39
c)
x = -9 and x = 3
d)
x = 9 and x = -3
7.
Solve x2− 4 = 0
a)
2 and -2
b)
4 and -4
c)
16 and -16
d)
8 and -8
8.
Solve by taking square roots:
5m2 + 1 = 6
5m2 + 1 = 6
a)
m = 0
b)
m = 1 or -1
c)
m = √7
d)
m = 7/5 m = -7/5
9.
Solve by taking square roots:
5b2 - 4 = 41
5b2 - 4 = 41
a)
b = 9, b = -9
b)
b = 3, b = -3
c)
b = 8, b = -8
d)
no solutionb
10.
Solve using square roots.
a)
±72
b)
±12
c)
12
d)
No real solution
11.
Solve using square roots.
a)
±√9
b)
±3
c)
±1
d)
No real solution
12.
Solve using square roots.
a)
± 1/4
b)
± 9/36
c)
± 1/2
d)
No real solution
13.
-3x2 = 99
a)
√33
b)
√33, -√33
c)
No Real Solutions
d)
-√33
14.
Taking the square root of the ________ of a square will give you the length.
a)
diagonal
b)
perimeter
c)
area
d)
circumference
15.
What is the length of a side of a square with and area of 25 square feet?
a)
12.5 feet
b)
10 feet
c)
5 feet
d)
6 feet
16.
Which of the following is a perfect square?
a)
24
b)
48
c)
81
d)
110
17.
Which of the following is NOT a perfect square?
a)
49
b)
100
c)
64
d)
80
18.
a)
8
b)
9
c)
10
d)
11
19.
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
20.
CHALLENGE
√9 × √100
√9 × √100
a)
30
b)
-200
c)
900
d)
90
21.
Find the cube root(s).
a)
25/9
b)
-25/9
c)
-5/3
d)
none
22.
Find the square root(s).
a)
±⅙
b)
-⅓
c)
-⅙
d)
none
23.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
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