8.9 Use direct and inverse variation  (Page 8/10)

$\frac{w^2-3w-28}{49-w^2}$

$\frac{3}{8}·\frac{2}{15}$

$\frac{2x{y}^2}{8y^3}·\frac{16y}{24x}$

$\frac{3a^2+21a}{a^2+6a-7}·\frac{a-1}{ab}$

$\frac{5z^2}{5z^2+40z+35}·\frac{z^2-1}{3z}$

$\frac{t^2-4t+12}{t^2+8t+12}÷\frac{t^2-36}{6t}$

$\frac{r^2-16}{4}÷\frac{r^3-64}{2r^2-8r+32}$

$\frac{11+w}{w-9}÷\frac{121-w^2}{9-w}$

$\frac{3y^2-12y-63}{4y+3}÷(6y^2-42y)$

$\frac{\frac{c^2-64}{3c^2+26c+16}}{\frac{c^2-4c-32}{15c+10}}$

$\frac{8m^2-8m}{m-4}·\frac{m^2+2m-24}{m^2+7m+10}÷\frac{2m^2-6m}{m+5}$

$\frac{3}{5}+\frac{2}{5}$

$\frac{4a^2}{2a-1}-\frac{1}{2a-1}$

$\frac{p^2+10p}{p+5}+\frac{25}{p+5}$

$\frac{3x}{x-1}+\frac{2}{x-1}$

$\frac{d^2}{d+4}-\frac{3d+28}{d+4}$

$\frac{z^2}{z+10}-\frac{100}{z+10}$

$\frac{4q^2-q+3}{q^2+6q+5}-\frac{3q^2-q-6}{q^2+6q+5}$

$\frac{5t+4t+3}{t^2-25}-\frac{4t^2-8t-32}{t^2-25}$

$\frac{18w}{6w-1}+\frac{3w-2}{1-6w}$

$\frac{a^2+3a}{a^2-4}-\frac{3a-8}{4-a^2}$

$\frac{2b^2+3b-15}{b^2-49}-\frac{b^2+16b-1}{49-b^2}$

$\frac{8y^2-10y+7}{2y-5}+\frac{2y^2+7y+2}{5-2y}$

$\frac{4}{m^2-3m-10},\frac{2m}{m^2-m-20}$

$\frac{6}{n^2-4},\frac{2n}{n^2-4n+4}$

$\frac{5}{3p^2+17p-6},\frac{2m}{3p^2-23p-8}$

Rewrite as equivalent rational expressions with denominator $(m+2)(m-5)(m+4)$ :

Rewrite as equivalent rational expressions with denominator $(n-2)(n-2)(n+2)$ :

Rewrite as equivalent rational expressions with denominator $(3p+1)(p+6)(p+8)$ :

$\frac{2}{3}+\frac{3}{5}$

$\frac{7}{5a}+\frac{3}{2b}$

$\frac{2}{c-2}+\frac{9}{c+3}$

$\frac{3d}{d^2-9}+\frac{5}{d^2+6d+9}$

$\frac{2x}{x^2+10x+24}+\frac{3x}{x^2+8x+16}$

$\frac{5q}{p^{2}q-p^2}+\frac{4q}{q^2-1}$

$\frac{3v}{v+2}-\frac{v+2}{v+8}$

$\frac{\mathrm{-3}w-15}{w^2+w-20}-\frac{w+2}{4-w}$

$\frac{7m+3}{m+2}-5$

$\frac{n}{n+3}+\frac{2}{n-3}-\frac{n-9}{n^2-9}$

$\frac{8d}{d^2-64}-\frac{4}{d+8}$

$\frac{5}{12x^{2}y}+\frac{7}{20x{y}^3}$

$\frac{\frac{5a}{a+2}}{\frac{10a^2}{a^2-4}}$

$\frac{\frac{2}{5}+\frac{5}{6}}{\frac{1}{3}+\frac{1}{4}}$

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

$\frac{\frac{2}{m}+\frac{m}{n}}{\frac{n}{m}-\frac{1}{n}}$

$\frac{6+\frac{2}{q-4}}{\frac{5}{q+4}}$

$\frac{\frac{3}{a^2}-\frac{1}{b}}{\frac{1}{a}+\frac{1}{b^2}}$

$\frac{\frac{2}{z^2-49}+\frac{1}{z+7}}{\frac{9}{z+7}+\frac{12}{z-7}}$

$\frac{\frac{3}{y^2-4y-32}}{\frac{2}{y-8}+\frac{1}{y+4}}$

$\frac{1}{2}+\frac{2}{3}=\frac{1}{x}$

$1-\frac{2}{m}=\frac{8}{m^2}$

$\frac{1}{b-2}+\frac{1}{b+2}=\frac{3}{b^2-4}$

$\frac{3}{q+8}-\frac{2}{q-2}=1$

$\frac{v-15}{v^2-9v+18}=\frac{4}{v-3}+\frac{2}{v-6}$

$\frac{z}{12}+\frac{z+3}{3z}=\frac{1}{z}$

$\frac{V}{l}=hw\text{for}l$

$\frac{1}{x}-\frac{2}{y}=5\text{for}y$

$x=\frac{y+5}{z-7}\text{for}z$

$P=\frac{k}{V}\text{for}V$

$\frac{x}{4}=\frac{3}{5}$

$\frac{3}{y}=\frac{9}{5}$

$\frac{s}{s+20}=\frac{3}{7}$

$\frac{t-3}{5}=\frac{t+2}{9}$