Practice Quiz: Rational Expressions

Simplify:  $\frac{x^2+9x+20}{2x+8}$  

•  $\frac{\left(x+5\right)}{2}$  

•  $\frac{\left(x+4\right)\left(x+5\right)}{2x+8}$  

•  $\frac{\left(x-4\right)\left(x-5\right)}{2x+8}$  

•  $\frac{\left(x-5\right)}{2}$  

Simplify:  $\frac{x^2-x-12}{x^2-2x-8}$  

•  $\frac{x+3}{x+2}$  

•  $\frac{x-3}{x+2}$  

•  $\frac{\left(x-4\right)\left(x+3\right)}{\left(x+4\right)\left(x-2\right)}$  

•  $\frac{\left(x+4\right)\left(x-3\right)}{\left(x-4\right)\left(x+2\right)}$  

What is the least common denominator for  $\frac{3}{3xy}-\frac{2y}{6x}$  ?

•  $18$  

•  $6x$  

•  $3xy$  

•  $6xy$  

Simplify the expression.  $\frac{2}{3}+\frac{3x+4y}{3y}$  

•  $\frac{5x+4y}{9y}$  

•  $\frac{6y+3x}{3y}$  

•  $\frac{2y+x}{y}$  

•  $\frac{6y+3x}{9y}$  

Bob has factored the denominators and made sure there is a common denominator.  He must be...

• Adding or Subtracting Rational Expressions
• Multiplying Rational Expressions
• Dividing Rational Expressions

Julie has factored the numerators and denominators and multiplied by the reciprocal (keep, change, flip). She must be…

• Adding or Subtracting Rational Expressions

• Multiplying Rational Expressions

• Dividing Rational Expressions

 $Simplify:\ \ \frac{x^2+7x+12}{x^2+4x}$  

•  $\frac{x+3}{x+4}$  

•  $\frac{x-3}{x}$  

•  $\frac{x+3}{x}$  

•  $\frac{x+3}{x^2}$  

What is the common denominator when simplifying  $\frac{4}{x+8}+\frac{3}{x-5}$  

•  $x^2-40$  

•  $2x+3$  

•  $\left(x+8\right)+\left(x-5\right)$  

•  $\left(x+8\right)\left(x-5\right)$  

Add

 $\frac{8n}{n-3}+\frac{3n}{n-3}$  

•  $\frac{11n}{n-3}$  

•  $\frac{11n^2}{2n-6}$  

•  $\frac{43n^2-57n}{\left(n-3\right)\left(5n-6\right)}$  

•  $\frac{8n+3n}{n-3+n-3}$  

Add

  $\frac{7n}{3n-18}+\frac{n+3}{3}$  

•  $\frac{8n+3}{3n-15}$  

•  $\frac{n^2+4n-18}{3\left(n-6\right)}$  

•  $\frac{7\left(n+3\right)}{3\left(3n-18\right)}$  

•  $\frac{7n+n+3}{3n-18+3}$