Algebra 2 Lesson P.6 Rational Expressions

Lesson P.6 Part 2

Rational Expressions

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Multiple Select

Check Point 6: Find the LCD of

 $\frac{3}{x+1}$  and  $\frac{5}{x-1}$  

•  $x+1$  

•  $x-1$  

• 3

• 5

Multiple Choice

Check Point 7: Find the least common denominator of

 $\frac{3}{x^2-6x+9}$  and  $\frac{7}{x^2-9}$  

•  $x+3$  

•  $x-3$  

•  $\left(x+3\right)\left(x-3\right)$  

•  $\left(x+3\right)\left(x-3\right)^2$  
  

Multiple Choice

Check Point 8: Add

 $\frac{x}{x-3}+\frac{x-1}{x+3}$  

•  $\frac{2x-1}{2x},\ x\ne0$  

•  $\frac{2x^2-x+3}{\left(x-3\right)\left(x+3\right)},\ x\ne\pm3$ 

•  $\frac{x^2-x}{\left(x-3\right)\left(x+3\right)},x\ne\pm3$  

Multiple Choice

Check Point 9: Subtract  $\frac{x}{x^2-10x+25}-\frac{x-4}{2x-10}$  

•  $\frac{4}{x^2-12x+35},\ x\ne5,7$  

•  $\frac{-x^2+11x-20}{2\left(x-5\right)^2},\ x\ne5$  

•  $\frac{4}{2\left(x-5\right)^2},\ x\ne5$  

Multiple Choice

Check Point 10: Simplify    $\frac{\frac{1}{x}-\frac{3}{2}}{\frac{1}{x}+\frac{3}{4}}$  

•  $\frac{2\left(2-3x\right)}{4+3x},\ x\ne0,\ -\frac{4}{3}$  

•  $-2,\ x\ne0$  

•  $\frac{4}{3x}-\frac{3x}{2}-1,\ x\ne0$