### Practice Test

Locate and label $0,2,\mathrm{-4},$ and $\mathrm{-1}$ on a number line.

In the following exercises, compare the numbers, using $<\phantom{\rule{0.2em}{0ex}}\text{or}\phantom{\rule{0.2em}{0ex}}>\phantom{\rule{0.2em}{0ex}}\text{or}\phantom{\rule{0.2em}{0ex}}\text{=.}$

- ⓐ$\phantom{\rule{0.2em}{0ex}}\mathrm{-6}\text{\_\_}3\phantom{\rule{0.6em}{0ex}}$
- ⓑ$\phantom{\rule{0.2em}{0ex}}\mathrm{-1}\text{\_\_}\mathrm{-4}$

- ⓐ$\phantom{\rule{0.2em}{0ex}}\mathrm{-5}\text{\_\_}\left|\mathrm{-5}\right|\phantom{\rule{0.6em}{0ex}}$
- ⓑ$\phantom{\rule{0.2em}{0ex}}-\left|\mathrm{-2}\right|\text{\_\_}\mathrm{-2}$

In the following exercises, find the opposite of each number.

- ⓐ$\phantom{\rule{0.2em}{0ex}}\mathrm{-7}\phantom{\rule{0.6em}{0ex}}$
- ⓑ$\phantom{\rule{0.2em}{0ex}}8$

In the following exercises, simplify.

$-(\mathrm{-22})$

$\mathrm{-8}+6$

$\mathrm{-7}-(\mathrm{-3})$

$\mathrm{-3}\cdot 8$

$70\xf7(\mathrm{-7})$

$-{4}^{2}$

$\left|21-6\right|-\left|\mathrm{-8}\right|$

In the following exercises, evaluate.

${(\mathrm{-2}r)}^{2}\phantom{\rule{0.2em}{0ex}}\text{when}\phantom{\rule{0.2em}{0ex}}r=3$

$3m-2n\phantom{\rule{0.2em}{0ex}}\text{when}\phantom{\rule{0.2em}{0ex}}m=6,\phantom{\rule{0.2em}{0ex}}n=\mathrm{-8}$

$-\left|-y\right|\phantom{\rule{0.2em}{0ex}}\text{when}\phantom{\rule{0.2em}{0ex}}y=17$

In the following exercises, translate each phrase into an algebraic expression and then simplify, if possible.

the quotient of $25$ and the sum of $m$ and $n.$

In the following exercises, solve.

Early one morning, the temperature in Syracuse was $\mathrm{-8}\text{\xb0F.}$ By noon, it had risen $\text{12\xb0.}$ What was the temperature at noon?

Collette owed $\text{\$128}$ on her credit card. Then she charged $\text{\$65.}$ What was her new balance?

In the following exercises, solve.

$p-11=\mathrm{-4}$

In the following exercises, translate and solve.

$\text{The product of 15 and}\phantom{\rule{0.2em}{0ex}}x\phantom{\rule{0.2em}{0ex}}\text{is 75.}$

$\text{Eight less than}\phantom{\rule{0.2em}{0ex}}y\phantom{\rule{0.2em}{0ex}}\text{is \u221232.}$