# Test: Algebra II - Ambitious

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Question 1:   Simplify the expression: $2\left(x-3\right)+3\left(2x-5\right)$
$8x-21$
$3x-8$
$8x+9$
$7x-14$
Question 2:   Simplify the expression: $-2\left(-3x-5\right)+\left(7-6x\right)$
$-12x+2$
$17$
$-9x+2$
$2$
Question 3:   Simplify the expression: $6{y}^{2}\left({y}^{3}+4y-1\right)$
${y}^{5}+4{y}^{3}-{y}^{2}$
$6{y}^{5}+18{y}^{2}$
$6{y}^{5}+10{y}^{3}-6{y}^{2}$
$6{y}^{5}+24{y}^{3}-6{y}^{2}$
Question 4:   Simplify the expression: $-6\cdot \frac{4\left(a+1\right)}{2}$
$-12a-12$
$6a+2$
$-12a-1$
$12a-12$
Question 5:   Simplify the expression: $2\left(3p-2q+2r\right)-8\left(p-q-\frac{1}{2}r\right)$
$-2p+4q$
$-2p-4q$
$-2p-4q-4r$
$-2p+4q+8r$
Question 6:   Simplify the expression: $3x\left(x-y+z\right)-4x\left(2x+y-z\right)$
$5{x}^{2}-7xz+7xy$
$-5{x}^{2}-7xy+7xz$
$-5{x}^{2}+xy-xz$
$3{x}^{2}-7xy+7xz-8x$
Question 7:   Simplify the expression: $-5{a}^{2}\left(a-\frac{3}{5}b\right)+3a\left({a}^{2}-7ab\right)$
$-2{a}^{3}-24{a}^{2}b$
$-2{a}^{3}-18{a}^{2}b$
${a}^{3}+9{a}^{2}b$
$-{a}^{3}-2{a}^{2}b$
Question 8:   Simplify the expression: $-3\sqrt{2}\left(x+2y\sqrt{2}\right)-3\left(x\sqrt{2}-2y\right)$
$6y$
$-6y$
$-3x\sqrt{2}-6y$
$-6x\sqrt{2}-6y$
Question 9:   Multiply out and simplify the expression: $\left(x-1\right)\left({x}^{2}-{y}^{2}\right)$
$2{x}^{2}-{x}^{2}y-{y}^{2}$
${x}^{3}-{x}^{2}-{y}^{2}-1$
${x}^{3}+x{y}^{2}-{x}^{2}-{y}^{2}$
${x}^{3}-x{y}^{2}-{x}^{2}+{y}^{2}$
Question 10:   Factorise: $3{a}^{2}b-9ab+6a{b}^{2}$
$3b\left(1-2b\right)$
$3ab\left({a}^{2}-3a+2b\right)$
$3ab\left(a-3+2b\right)$
$3a\left(ab-3b+2b\right)$