# Test: Algebra II - Challenging

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Question 1:   Simplify the expression: $3\frac{2}{3}x\left(6{x}^{2}-9x+\frac{3}{8}\right)$
$22{x}^{3}-33{x}^{2}+1\frac{3}{8}x$
$12{x}^{3}-11{x}^{2}+5\frac{3}{8}x$
$19{x}^{3}-28{x}^{2}-2\frac{1}{3}x$
$18\frac{2}{3}{x}^{3}-27\frac{2}{3}{x}^{2}+3\frac{7}{8}x$$3x-8$
Question 2:   Simplify the expression: $\frac{4{x}^{2}-8}{2}-\frac{16{x}^{2}+24}{4}$
$2{x}^{2}+8$
$-2{x}^{2}-4$
$-2{x}^{2}+12$
$-2{x}^{2}-10$
Question 3:   Simplify the expression: $\frac{2}{3}R\left(6R-18\right)-\frac{1}{5}\left(24+15P\right)$
$4{R}^{2}-12R-3P-4\frac{4}{5}$
$-3{R}^{2}+2P-11$
$\frac{4}{5}{R}^{2}-5P-15\frac{2}{3}$
$4R-P+13$
Question 4:   Simplify the expression by collecting like terms: $2xy+5xz+2x\left(3yz-y\right)-z\left(x-xy\right)+xz\left(5y-4\right)$
$2xy+2xz$
$0$
$xy+6xyz$
$12xyz$
Question 5:   Simplify the expression by collecting like terms: $2x\left(1-y\right)-3\left(x-y\right)+y\left(x+2\right)+xy$
$x+y$
$-x+2y$
$-\frac{1}{2}x+3y$
$-x+5y$
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