# Test: Algebraic Fractions II - Challenging

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Question 1:   For which values expression  $\frac{{x}^{2}-6x+1}{4{x}^{2}-16}$  doesnâ€™t have a solution?
$\begin{array}{l}x=2\\ x=-2\end{array}$
$\begin{array}{l}x=4\\ x=-4\end{array}$
$x=1$
$x=0$
Question 2:   For which value of x fraction  $\frac{12{x}^{3}-5}{25{x}^{2}+90x+81}$  is undefined?
$x=1$
$x=0$
$x=-1,8$
$x=1,8$
Question 3:   Reorder expression to make y subject  $\frac{4x}{y}=5$
$y=\frac{4x}{5}$
$y=4x×5$
$y=4x-5$
$y=\frac{5}{4x}$
Question 4:   Add  $\frac{2}{{a}^{2}-4}+\frac{a}{{a}^{2}-4}$
$\frac{1}{{a}^{2}}$
$\frac{1}{a-2}$
$\frac{1}{a}$
$\frac{1}{a+2}$
Question 5:   Add  $\frac{a}{c}+\frac{3-a}{4c}$
$\frac{6a}{4c}$
$\frac{3a}{4c}$
$\frac{3a+3}{4c}$
$\frac{3a}{c}$
Question 6:   Simplify   $\frac{x+2}{x-2}-2$
$\frac{6+x}{x-2}$
$\frac{6}{x}$
$\frac{6-x}{x-2}$
$\frac{6}{x-2}$
Question 7:   Simplify  $\frac{5}{c-1}-\frac{8}{1+c}+\frac{3c+7}{{c}^{2}-1}$
$\frac{20}{{c}^{2}-1}$
$\frac{20}{c+1}$
$\frac{20}{{c}^{2}+1}$
$\frac{20}{c-1}$
Question 8:   Multiply  $\frac{4{x}^{2}-9}{3+2x}×\frac{6x}{3-2x}$
$-6x$
$6x$
$-6{x}^{2}$
$6{x}^{2}$
Question 9:   Solve the equation  $\frac{2{x}^{2}}{x-5}×\frac{{x}^{2}-25}{x}=0$
$-5$
$1$
$5$
$0$
Question 10:   Simplify  ${\left(-\frac{3a}{2b}\right)}^{2}×12{a}^{4}{b}^{6}$
$-27{a}^{6}{b}^{4}$
$27{a}^{6}{b}^{4}$
$-27ab$
$27ab$