Free Printable Number and Quantity Praxis Prep Pt. III

1.

Solve for x: x² = 36

a)

x = 6

b)

x = 6 and -6

c)

x = 18 and -18

d)

x = -6

2.

Evaluate: $\sqrt{\frac{4}{9}}$

a)

$\frac{2}{3}$

b)

$\frac{16}{81}$

c)

$\frac{4}{9}$

3.

Evaluate: $\left(\frac{4}{5}\right)^2$

a)

$\frac{8}{10}$

b)

$\frac{16}{25}$

c)

$\frac{8}{25}$

d)

$\sqrt{\frac{4}{5}}$

4.

Re-write the expression in radical form.
x^2/3

a)

(∛x)²

b)

√x³

c)

(1/x)

d)

∛x

5.

Write each expression in exponential form.

a)

A

b)

B

c)

C

d)

D

6.

Anything raised to a power of zero is always:

a)

0

b)

1

c)

itself

d)

negative

7.

Simplify:

a)

$27xy^2z^3$

b)

$3xy^2z^3$

c)

$3x^9y^{18}z^{27}$

d)

$3x^6y^9z^{12}$

8.

Simplify:

a)

$\frac{b}{2a^{10}}$

b)

$\frac{2b}{a^{10}}$

c)

$\frac{b}{a^{10}}$

d)

$\frac{1}{2a^{10}b}$

9.

Simplify $\sqrt{\frac{p^8}{49}}$

a)

$\frac{\sqrt{p^8}}{7}$

b)

$\frac{p^2}{7}$

c)

$\frac{p^4}{7}$

d)

$\frac{\sqrt{p^8}}{\sqrt{7}}$

10.

Simplify $\frac{\sqrt{5x^2}}{\sqrt{20}}$

a)

$\frac{x}{2}$

b)

$\frac{x}{\sqrt{15}}$

c)

$\frac{x}{4}$

d)

$\frac{x\sqrt{5}}{\sqrt{20}}$

11.

Simplify. Write the answer with positive exponents only.

$\left(\frac{a}{b^{-4}}\right)\left(\frac{b^{-3}}{a^{-3}}\right)$

a)

$\frac{a}{b}$

b)

$\frac{b}{a}$

c)

$\frac{a^4}{b}$

d)

$a^4b$

Number and Quantity Praxis Prep Pt. III

Total questions: 11

Worksheet time: 9mins

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