3.3.20mulitpying,dividing,adding,subtracting rationals

Divide

• $\frac{1}{6}$

• $\frac{x+10}{6x+10}$

• $\frac{x+8}{6x+60}$

• $\frac{(x+10)(x+8)}{6x+60}$

• 1

• $\frac{(x-8)}{(x+5)}$

• $\frac{(x-5)}{(x+5)}$

• $\frac{(x+1)}{(x+5)}$

Simplify the expression

• $\frac{(12n^2+28n+4)}{(2n-5)(n+2)}$

• $\frac{(12n^2-28n+4)}{(2n-5)(n+2)}$

• $\frac{(8n)}{(3n+3)}$

• $\frac{(12n^2+2n-3)}{(2n-5)(n+2)}$

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Tags

CCSS.HSA.APR.D.7

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Tags

CCSS.HSA.APR.D.7

A rectangle has a length of  $\frac{6}{x-3}$  and a width of  $\frac{3}{x+1}$  , find the perimeter.

•  $2\left(\frac{9x-3}{x^2-2x-3}\right)$  

•  $\frac{9x-3}{x^2-2x-3}$  

•  $\frac{18x-6}{2x^2-4x-6}$  

•  $4\left(\frac{9x-3}{x^2-2x-3}\right)$  

 $\frac{9x^3-54x^2}{9x^2+45}\cdot\frac{9x^2+9x}{9x^3-54x^2}$  Simplify

•  $\frac{x-1}{x+5}$  

•  $\frac{x+1}{x+5}$  

•  $\frac{9x+1}{9x+5}$  

•  $x+1$  

A triangle has two sides that measure $\frac{12}{x+1}$  and a base with measure  $\frac{15x}{x^2-1}$  , find the perimeter.

•  $\frac{24x-24}{x^2-1}$  

•  $\frac{27x-12}{x^2-1}$  

•  $\frac{39x-24}{x^2-1}$  

•  $\frac{15x+24}{x^2-1}$  

Find the inverse function of  $y=x^2+9$  with a restricted domain of  (-∞,0)

•  $y=\left(x+9\right)^2$  

•  $y=-\sqrt{x-9}$  

•  $y=\sqrt{x-9}$  

•  $y=\sqrt{x+9}$  

Find the horizontal asymptote, hole, and the vertical asymptote.
 $f\left(x\right)=\frac{3x-3}{2x^2+x-3}$  

• HA: y=0
  Hole: x = 1
  VA: x = -3/2
  Domain: (-∞, -3/2)U(-3/2, 1)U(1, ∞)

• HA: y=0
  Hole: x = 1
  VA: x = 3/2
  Domain: (-∞, 3/2)U(3/2, 1)U(1, ∞)

• HA: None
  Hole: x = -3/2
  VA: x = 1
  Domain: (-∞, -3/2)U(-3/2, 1)U(1, ∞)