U4L1 Simplifying Rational Expressions

Mathematical Equivalence

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Simplify by cancelling

• 1
• -1
• Can't be simplified

Simplify.

• $\frac{m+6}{m-3}$

• $\frac{7}{m-3}$

• $\frac{7}{m+6}$

• $\frac{1}{m+6}$

Simplify.

• $\frac{1}{n-7}$

• $n-7$

• $\frac{(n-6)}{(n-7)}$
  

• $n-6$
  

Simplify.

• $\frac{x+6}{x+4}$

• $\frac{1}{x-5}$

• $\frac{x+6}{x+5}$
  

• $\frac{x+6}{x-5}$

• $\frac{x+6}{\left(x+5\right)\left(x-4\right)}$

Reduce, or simplify the algebraic fraction.

• $x-3$

• $-21$

• $-3$
  

• $\frac{x-3}{x}$
  

 $\frac{\left(x-3\right)\left(x+4\right)}{x\left(x-3\right)}$  
State the values of x that must be excluded to prevent division by zero.

• 0 and 3

• 0 and -3

• 3 and -4

• 0, 3, and -4

 $\frac{\left(x\ +\ 1\right)\left(x-4\right)}{\left(x-4\right)\left(x+7\right)}$  
State the values of x that must be excluded to prevent division by zero.

• -1, 4, and -7

• -1 and 4

• -4 and 7

• 4 and -7

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

 State the values of x which must be excluded to prevent division by zero.

• -2 and 5

• 2 and -5

• 0, 2, and -5

• 0, -2, and 5

 $Simplify:\ \ \frac{x^2+6x-7}{x^2-49}$  

•  $\frac{x-1}{x+7}$  

•  $\frac{x+1}{x+7}$  

•  $\frac{x-1}{x-7}$  

•  $\frac{x+1}{x-7}$