WorksheetsPowers, Roots, and Radicals
Total questions: 12
Worksheet time: 22mins
Name
Class
Date
1.
Rewrite the following expression
a)
41/2
b)
4
c)
1
d)
42/4
2.
Re-write the expression in radical form.
x2/3
x2/3
a)
(∛x)2
b)
√x3
c)
(1/x)
d)
∛x
3.
Solve for x.
16x2 - 9 = 0
a)
x = 1.333
b)
x = ± 1.33
c)
x = ± 0.75
d)
x = 0.5625
4.
Simplify: ∜(16c4d8)
a)
2cd(∜c)
b)
2cd²
c)
4cd²(∜c)
d)
4cd²
5.
a)
√49¹¹
b)
7¹¹
c)
49
d)
7⁴ = 2401
6.
8
a)
W
b)
O
c)
R
d)
K
7.
f(g(x))
a)
3x - 6
b)
3x - 2
c)
3x - 26
d)
4x - 2
8.
f(x) = x2+9
g(x) = x-9
Find f(x)-g(x).
g(x) = x-9
Find f(x)-g(x).
a)
x2+x+9
b)
x2-x+9
c)
x2-x
d)
x2-x+18
9.
Which function matches the graph?
a)
A
f(x) = √(x - 4) - 2
b)
B
f(x) = √(x + 2) - 4
c)
C
f(x) = √(x - 2) - 4
d)
D
f(x) = √(x + 4) - 2
10.
Which function matches the graph?
a)
A
f(x) = ∛(x + 3) + 2
b)
B
f(x) = − ∛(x - 3) + 2
c)
C
f(x) = ∛(x - 3) + 2
d)
D
f(x) = ∛(x - 2) + 3
11.
Solve
a)
x = -5
b)
x = 1/5
c)
No Solution
d)
x = -1
12.
Solve the equation.
a)
n = 27
b)
n = 18
c)
n = -18
d)
n = 36
100 %
