### Practice Test

For the polynomial $10{x}^{4}+9{y}^{2}-1$

ⓐ Is it a monomial, binomial, or trinomial?

ⓑ What is its degree?

In the following exercises, simplify each expression.

$\left(9{p}^{2}-5p+1\right)-\left(2{p}^{2}-6\right)$

$u\xb7{u}^{4}$

$\left(\mathrm{-9}{r}^{4}{s}^{5}\right)\left(4r{s}^{7}\right)$

$\left(m+6\right)\left(m+12\right)$

$\left(4c-11\right)\left(3c-8\right)$

$\left(2x-15y\right)\left(5x+7y\right)$

${\left(9v-2\right)}^{2}$

${\left(\frac{{m}^{4}\xb7m}{{m}^{3}}\right)}^{6}$

$\frac{80{c}^{8}{d}^{2}}{16c{d}^{10}}$

$\left(70x{y}^{4}+95{x}^{3}y\right)\xf75xy$

$\left({y}^{2}-5y-18\right)\xf7(y+3)$

${\left(4m\right)}^{\mathrm{-3}}$

$\frac{{n}^{\mathrm{-2}}}{{n}^{\mathrm{-10}}}$

Convert $6.91\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}{10}^{\mathrm{-5}}$ to decimal form.

In the following exercises, simplify, and write your answer in decimal form.

$\left(3.4\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}{10}^{9}\right)\left(2.2\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}{10}^{\mathrm{-5}}\right)$

$\frac{8.4\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}{10}^{\mathrm{-3}}}{4\phantom{\rule{0.2em}{0ex}}\times \phantom{\rule{0.2em}{0ex}}{10}^{3}}$

A helicopter flying at an altitude of 1000 feet drops a rescue package. The polynomial $\mathrm{-16}{t}^{2}+1000$ gives the height of the package $t$ seconds a after it was dropped. Find the height when $t=6$ seconds.