### Practice Test

For the following exercises, identify the number as rational, irrational, whole, or natural. Choose the most descriptive answer.

$\sqrt{2}$

For the following exercises, evaluate the expression.

$y{(3+3)}^{2}-26;y=1$

Write the number in standard notation: $3.1415\phantom{\rule{0.5em}{0ex}}\times \phantom{\rule{0.5em}{0ex}}{10}^{6}$

Write the number in scientific notation: 0.0000000212.

For the following exercises, simplify the expression.

$4\left(x+3\right)-\left(6x+2\right)$

${\left(\frac{2}{3}\right)}^{3}$

$\left(16{y}^{0}\right)2{y}^{\mathrm{-2}}$

$\sqrt{490}$

$\frac{\sqrt{121{b}^{2}}}{1+\sqrt{b}}$

$\frac{\sqrt[3]{\mathrm{-8}}}{\sqrt[4]{625}}$

$\left(6{p}^{2}+2p+1\right)+\left(9{p}^{2}\mathrm{-1}\right)$

$(a-2b)(2a+b)$

For the following exercises, factor the polynomial.

${y}^{2}+12y+36$

$3x{(x-6)}^{-\frac{1}{4}}+2{(x-6)}^{\frac{3}{4}}$

For the following exercises, simplify the expression.

$\frac{x}{y}+\frac{2}{x}$