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Radical Equations & Rational Exponents

Total questions: 10

Worksheet time: 50mins

Name
Class
Date
1.
a)
x = 49
b)
x = 53
c)
x = 45
d)
x = 18
2.
Solve
a)
-14
b)
14
c)
no solution
d)
28
3.
Solve this equation.
a)
x = -3
b)
x = 0
c)
x = 1/3
d)
x = 3
4.
Solve for x.
a)
-13
b)
4
c)
19
d)
Extraneous root
5.
(2x + 3)(2x + 3)
a)
4x2 + 9
b)
6x2 + 12x + 9
c)
4x2 + 6x + 9
d)
4x2 + 12x + 9
6.
Solve by factoring: x2 - 9x + 20 = 0
a)
x = -4 and x = -5
b)
x = 20 and x = -9
c)
x = 4 and x = 5
d)
x = -4 and x = 5
7.
 Write in exponential form
 ∛x⁷
a)
x⁷∕ ³
b)
x3⁄7
c)
3x⁷
d)
7x³
8.
Write in exponential form
∜(3x)³
a)
3x³⁄ ⁴
b)
(3x)³∕ ⁴
c)
(3x)⁴⁄ ³
d)
3x⁴⁄ ³
9.
Simplify
x²⁄ ³⋅x¹⁄ ³
a)
2x
b)
x²⁄₉
c)
x
d)
10.

What's the number "in the ditch" if not written (index)?

a)

1

b)

2

c)

-1

d)

10