WorksheetsRadical Equations and Its Applications
Total questions: 10
Worksheet time: 7mins
Name
Class
Date
1.
x+3x=8
a)
14
b)
15
c)
16
d)
17
2.
5+x−x=3
a)
32
b)
94
c)
53
d)
No solution
3.
A solution that makes the equation false is an extraneous root.
a)
True
b)
False
4.
The square root of the sum of twice a number and 7 is 13. What is the number?
a)
81
b)
82
c)
83
d)
84
5.
In the Pythagorean relation
a2+b2=c2 , a and b are the lengths of the legs and c is the length of the hypotenuse of a right triangle. Determine the missing side of the right triangle. a=7, b=24, c=?
(a)
6.
A radical equation may lead to a linear equation or a quadratic equation.
a)
True
b)
False
7.
x−5=7
a)
−53
b)
−54
c)
53
d)
54
8.
5x−4=x
a)
x=1, x=5
b)
x=−1, x=4
c)
x=1, x=4
d)
x=1, x=−5
9.
3x−6=38
(a)
10.
The sides of a square are each 9 feet long. Find the length of the diagonal.
a)
±82
b)
183
c)
±92
d)
92
100 %
