Rational Algebraic Expressions

Which of the following is NOT a rational algebraic expression?

• $\frac{3}{\sqrt{x}}$

• $\frac{a+4}{6}$

• $x^2+2xy$

• $5$

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

• all real numbers except   $-1$  

• all real numbers except  $1$  

• all real numbers except  $-2$  

• all real numbers except  $2$  

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

•  $-7$  

•  $7$  

•  $-\frac{7}{3}$  

•  $-\frac{3}{7}$  

 $\frac{4xy}{x^2+9x+18}$  

The domain of the rational algebraic expression above is:

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

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

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

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

 $\frac{8-y}{z^2+5z}$  

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

•  $z=0\ \ \ \ and\ \ \ \ \ z=5$  

•  $z\ =0\ \ \ \ and\ \ \ \ z=-5$  

•  $z=0\ \ \ \ and\ \ \ \ z=-1$  

•  $z=0\ \ \ \ and\ \ \ \ z=1$  

Which of the following is NOT a rational algebraic expression?

• $\frac{7x}{2}$

• $\frac{4}{x-6}$

• $x^2-8y$

• $10\sqrt{6c}$

Give the domain of 

 $\frac{2-5z}{z+12}$  

• all real numbers except  $0$  

• all real numbers except  $6$  

• all real numbers except  $12$  

• all real numbers except  $-12$  

 $\frac{9}{18-4x}$  

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

•  $x\ =\ 4$  

•  $x\ =\ \frac{1}{2}$  

•  $x\ =\ \frac{2}{5}$  

•  $x\ =\ \frac{2}{9}$  

Find the domain of  

 $\frac{9x}{x^2-7x-30}$  

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

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

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

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

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

 $\frac{a-5}{-3a+a^2}$  

•  $a=0\ \ and\ a=9$  

•  $a=0\ \ and\ a=3$  

•  $a=0\ \ and\ a=-9$  

•  $a=0\ \ and\ a=-3$