Free Printable Activity: Rational Algebraic Expressions

1.

Which of the following statement describes a rational algebraic expression?

a)

It is the reverse process of multiplication.

b)

Fraction which numerator and denominator are polynomials

c)

Fraction which numerator and denominator are whole numbers

d)

It cannot be factored using only integers

2.

What does simplifying rational algebraic expression mean?

a)

Getting its lowest term

b)

Getting its factored form

c)

Gettings its common factors

d)

Getting its reciprocal

3.

Simplify:

\frac{4x^4}{10x^2}

a)

$\frac{2}{5x^6}$

b)

$\frac{2x^6}{5}$

c)

$\frac{2}{5x^2}$

d)

$\frac{2x^2}{5}$

4.

Which of the following is the first step in multiplying rational algebraic expression?

a)

Write the numerator and denominator in factored form

b)

Multiplying the remaining factors

c)

Cancel common factors

d)

Check to see if you can reduce it again

5.

\frac{9}{10x}\cdot\frac{5x}{7x^2}=

a)

$\frac{2}{3}$

b)

$\frac{1}{4}$

c)

$6x^2$

d)

$\frac{9}{14x^2}$

6.

\frac{7m^2}{8m}\div\frac{9}{8m^2}=

a)

$\frac{7}{4}$

b)

$\frac{1}{20}$

c)

$\frac{7m^3}{9}$

d)

$\frac{9}{14x^2}$

7.

All are the following steps in multiplying rational algebraic expression except

a)

Simplify if possible

b)

Factor out the numerator and denominator

c)

Cancel out common factors

d)

Get the reciprocal of the second given

8.

$\frac{x}{x+3}+\frac{3}{x+3}=$

a)

$x^2$

b)

$\frac{3x}{x\ +\ 3}$

c)

1

d)

$\frac{3x}{3x}$

9.

$Add:\ \frac{2x}{10x^2}\ and\ \frac{3x}{10x^2}$

a)

$\frac{5x}{10x^2}$

b)

$\frac{1}{2x}$

c)

$\frac{x}{2}$

d)

$\frac{2x}{1}$

10.

$\frac{3x\ +\ 4}{x^2\ -\ 16}\ -\ \frac{2x}{x^2-16}=$

a)

$1$

b)

$\frac{x+4}{x^2-16}$

c)

$\frac{1}{x-4}$

d)

$\frac{1}{x+4}$

Activity: Rational Algebraic Expressions

Total questions: 10

Worksheet time: 30mins

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