### Practice Test

For the numbers $\text{0.18349\u2026},\phantom{\rule{0.2em}{0ex}}0.\stackrel{\text{\u2013}}{\text{2}},\phantom{\rule{0.2em}{0ex}}1.67,$ list the ⓐ rational numbers and ⓑ irrational numbers.

From the numbers $\mathrm{-4},\phantom{\rule{0.2em}{0ex}}-1\frac{1}{2},\phantom{\rule{0.2em}{0ex}}0,\phantom{\rule{0.2em}{0ex}}\frac{5}{8},\phantom{\rule{0.2em}{0ex}}\sqrt{2},\phantom{\rule{0.2em}{0ex}}7,$ which are ⓐ integers ⓑ rational ⓒ irrational ⓓ real numbers?

Rewrite using the commutative property: $x\xb714=\phantom{\rule{0.2em}{0ex}}\_\_\_\_\_\_\_\_\_$

Rewrite the expression using the associative property: $(y+6)+3=\phantom{\rule{0.2em}{0ex}}\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$

Rewrite the expression using the associative property: $(8\xb72)\xb75=\phantom{\rule{0.2em}{0ex}}\_\_\_\_\_\_\_\_\_\_\_$

Evaluate $\frac{3}{16}\left(\frac{16}{3}n\right)$ when $n=42.$

In the following exercises, simplify the given expression.

$\frac{3}{4}(\mathrm{-29})\left(\frac{4}{3}\right)$

$\left(1.27q+0.25q\right)+0.75q$

$\mathrm{-18}\left(\frac{3}{2}n\right)$

$9\left(q+9\right)$

$\mathrm{-10}\left(0.4n+0.7\right)$

$m(n+2)$

$(12a+4)-(9a+6)$

$\frac{4.5}{0}$

In the following exercises, solve using the appropriate unit conversions.

Azize walked $4\frac{1}{2}$ miles. Convert this distance to feet. $\text{(1 mile}=\text{5,280 feet).}$

One cup of milk contains $276$ milligrams of calcium. Convert this to grams. $\text{(1 milligram}=\text{0.001 gram)}$

Larry had $5$ phone customer phone calls yesterday. The calls lasted $28,44,9,75,\text{and}\phantom{\rule{0.2em}{0ex}}55$ minutes. How much time, in hours and minutes, did Larry spend on the phone? $\text{(1 hour}=\text{60 minutes)}$

Janice ran $15$ kilometers. Convert this distance to miles. Round to the nearest hundredth of a mile. $\text{(1 mile}=\text{1.61 kilometers)}$

Yolie is $63$ inches tall. Convert her height to centimeters. Round to the nearest centimeter. $\text{(1 inch}=\text{2.54 centimeters)}$