Free Printable Rational Algebraic Expressions

1.

Which of the following is NOT a rational algebraic expression?

a)

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

b)

$\frac{a+4}{6}$

c)

$x^2+2xy$

d)

$5$

2.

Give the domain of $\frac{y+2}{y-2}$

a)

all real numbers except $-1$

b)

all real numbers except $1$

c)

all real numbers except $-2$

d)

all real numbers except $2$

3.

For what value of x will the given expression be meaningless? $\frac{x^3}{3x+7}$

a)

$-7$

b)

$7$

c)

$-\frac{7}{3}$

d)

$-\frac{3}{7}$

4.

$\frac{4xy}{x^2+9x+18}$

The domain of the rational algebraic expression above is:

a)

all real numbers except $-3\ \ \ \ \ and\ \ \ \ \ -6$

b)

all real numbers except $3\ \ \ \ and\ \ \ \ \ 6$

c)

all real numbers except $9\ \ \ \ and\ \ \ \ 2$

d)

all real numbers except $-9\ \ \ \ and\ \ \ -2$

5.

$\frac{8-y}{z^2+5z}$

Give the values for which the given rational expression is undefined?

a)

$z=0\ \ \ \ and\ \ \ \ \ z=5$

b)

$z\ =0\ \ \ \ and\ \ \ \ z=-5$

c)

$z=0\ \ \ \ and\ \ \ \ z=-1$

d)

$z=0\ \ \ \ and\ \ \ \ z=1$

6.

Which of the following is NOT a rational algebraic expression?

a)

$\frac{7x}{2}$

b)

$\frac{4}{x-6}$

c)

$x^2-8y$

d)

$10\sqrt{6c}$

7.

Give the domain of

\frac{2-5z}{z+12}

a)

all real numbers except $0$

b)

all real numbers except $6$

c)

all real numbers except $12$

d)

all real numbers except $-12$

8.

$\frac{9}{18-4x}$

For what values of x will the given rational expression be meaningless?

a)

$x\ =\ 4$

b)

$x\ =\ \frac{1}{2}$

c)

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

d)

$x\ =\ \frac{2}{9}$

9.

Find the domain of

\frac{9x}{x^2-7x-30}

a)

all real numbers except $3\ \ \ and\ \ \ 10$

b)

all real numbers except $-3\ \ \ and\ \ \ -10$

c)

all real numbers except $-3\ \ \ \ and\ \ \ 10$

d)

all real numbers except $3\ \ \ \ and\ \ \ -10$

10.

Give the values of the variable a , for which the given rational expression is undefined.

\frac{a-5}{-3a+a^2}

a)

$a=0\ \ and\ a=9$

b)

$a=0\ \ and\ a=3$

c)

$a=0\ \ and\ a=-9$

d)

$a=0\ \ and\ a=-3$

Rational Algebraic Expressions

Total questions: 10

Worksheet time: 15mins

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