3.5 Solve equations using integers; the division property of  (Page 5/5)

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

$\left|\mathrm{-42}\right|$

$\left|36\right|$

$-\left|15\right|$

$\left|0\right|$

$-\left|\mathrm{-75}\right|$

$\left|x\right|\text{when}x=\mathrm{-14}$

$-\left|r\right|\text{when}r=27$

$-\left|-y\right|\text{when}y=33$

$\left|{\text{−n}}\right|\text{when}n=\mathrm{-4}$

$-\left|\mathrm{-4}\right|\text{\_\_}4$

$\mathrm{-2}\text{\_\_}\left|\mathrm{-2}\right|$

$-\left|\mathrm{-6}\right|\text{\_\_}\mathrm{-6}$

$-\left|\mathrm{-9}\right|\text{\_\_}\left|\mathrm{-9}\right|$

$-(\mathrm{-55})\text{and}-\left|\mathrm{-55}\right|$

$-(\mathrm{-48})\text{and}-\left|\mathrm{-48}\right|$

$\left|12-5\right|$

$\left|9+7\right|$

$6\left|\mathrm{-9}\right|$

$\left|14\mathrm{-8}\right|-\left|\mathrm{-2}\right|$

$\left|9-3\right|-\left|5-12\right|$

$5+4\left|15-3\right|$

the opposite of $16$

the opposite of $\mathrm{-8}$

negative $3$

$19$ minus negative $12$

a temperature of $10$ below zero

an elevation of $\text{85 feet}$ below sea level

$3+7$

$\mathrm{-2}+6$

$5+(\mathrm{-4})$

$\mathrm{-3}+(\mathrm{-6})$

$14+82$

$\mathrm{-33}+(\mathrm{-67})$

$\mathrm{-75}+25$

$54+(\mathrm{-28})$

$11+(\mathrm{-15})+3$

$\mathrm{-19}+(\mathrm{-42})+12$

$\mathrm{-3}+6(\mathrm{-1}+5)$

$10+4(\mathrm{-3}+7)$

$n+4\text{when}$

1. ⓐ $n=\mathrm{-1}$
2. ⓑ $n=\mathrm{-20}$

$x+(\mathrm{-9})\text{when}$

1. ⓐ $x=3$
2. ⓑ $x=\mathrm{-3}$

${(x+y)}^3\text{when}x=\mathrm{-4},y=1$

${(u+v)}^2\text{when}u=\mathrm{-4},v=11$

$\text{the sum of −8 and 2}$

$\text{4 more than −12}$

$\text{10 more than the sum of −5 and −6}$

$\text{the sum of}3\text{and}\mathrm{-5},\text{increased by 18}$

Temperature On Monday, the high temperature in Denver was $\text{−4 degrees.}$ Tuesday’s high temperature was $\text{20 degrees}$ more. What was the high temperature on Tuesday?

Credit Frida owed $\text{\$75}$ on her credit card. Then she charged $\text{\$21}$ more. What was her new balance?

$6-1$

$\mathrm{-4}-(\mathrm{-3})$

$2-(\mathrm{-5})$

$\mathrm{-1}-4$

$24-16$

$19-(\mathrm{-9})$

$\mathrm{-31}-7$

$\mathrm{-40}-(\mathrm{-11})$

$\mathrm{-52}-(\mathrm{-17})-23$

$25-(\mathrm{-3}-9)$

$(1-7)-(3-8)$

$3^2-7^2$

$x-7\text{when}$

1. ⓐ $x=5$
2. ⓑ $x=\mathrm{-4}$

$10-y\text{when}$

1. ⓐ $y=15$
2. ⓑ $y=\mathrm{-16}$

$2n^2-n+5\text{when}n=\mathrm{-4}$

$\mathrm{-15}-3u^2\text{when}u=\mathrm{-5}$

the difference of $\mathrm{-12}\text{and}5$

subtract $23$ from $\mathrm{-50}$

Temperature One morning the temperature in Bangor, Maine was $\text{18 degrees.}$ By afternoon, it had dropped $\text{20 degrees.}$ What was the afternoon temperature?

Temperature On January 4, the high temperature in Laredo, Texas was $\text{78 degrees,}$ and the high in Houlton, Maine was $\mathrm{-28}\text{degrees}.$ What was the difference in temperature of Laredo and Houlton?

$\mathrm{-9}\cdot 4$

$5(\mathrm{-7})$

$(\mathrm{-11})(\mathrm{-11})$

$\mathrm{-1}\cdot 6$

$56÷(\mathrm{-8})$

$\mathrm{-120}÷(\mathrm{-6})$

$\mathrm{-96}÷12$

$96÷(\mathrm{-16})$

$45÷(\mathrm{-1})$

$\mathrm{-162}÷(\mathrm{-1})$

$5(\mathrm{-9})-3(\mathrm{-12})$

${(\mathrm{-2})}^5$

$-3^4$

$(\mathrm{-3})(4)(\mathrm{-5})(\mathrm{-6})$

$42-4(6-9)$

$(8-15)(9-3)$

$\mathrm{-2}(\mathrm{-18})÷9$

$45÷(\mathrm{-3})-12$

$7x-3\text{when}x=\mathrm{-9}$

$16-2n\text{when}n=\mathrm{-8}$

$5a+8b\text{when}a=\mathrm{-2},b=\mathrm{-6}$

$x^2+5x+4\text{when}x=\mathrm{-3}$

the product of $\mathrm{-12}$ and $6$

the quotient of $3$ and the sum of $\mathrm{-7}$ and $s$

$5x-10=\mathrm{-35}$

1. ⓐ $x=\mathrm{-9}$
2. ⓑ $x=\mathrm{-5}$
3. ⓒ $x=5$

$8u+24=\mathrm{-32}$

1. ⓐ $u=\mathrm{-7}$
2. ⓑ $u=\mathrm{-1}$
3. ⓒ $u=7$

$a+14=2$

$b-9=\mathrm{-15}$

$c+(\mathrm{-10})=\mathrm{-17}$

$d-(\mathrm{-6})=\mathrm{-26}$

$8p=72$

$\mathrm{-12}q=48$

$\mathrm{-16}r=\mathrm{-64}$

$\mathrm{-5}s=\mathrm{-100}$

$\text{The product of −6 and}y\text{is}\mathrm{-42}$

$\text{The difference of}z\text{and −13 is −18.}$

Four more than $m$ is $\mathrm{-48}.$

$\text{The product of −21 and}n\text{is 63.}$

Describe how you have used two topics from this chapter in your life outside of your math class during the past month.

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

1. ⓐ $\mathrm{-6}\text{\_\_}3$
2. ⓑ $\mathrm{-1}\text{\_\_}\mathrm{-4}$

1. ⓐ $\mathrm{-5}\text{\_\_}\left|\mathrm{-5}\right|$
2. ⓑ $-\left|\mathrm{-2}\right|\text{\_\_}\mathrm{-2}$

1. ⓐ $\mathrm{-7}$
2. ⓑ $8$

$-(\mathrm{-22})$

$\left|4-9\right|$

$\mathrm{-8}+6$

$\mathrm{-15}+(\mathrm{-12})$

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

$10-(5-6)$

$\mathrm{-3}\cdot 8$

$\mathrm{-6}(\mathrm{-9})$

$70÷(\mathrm{-7})$

${(\mathrm{-2})}^3$

$-4^2$

$16\mathrm{-3}(5\mathrm{-7})$

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

$35-a\text{when}a=\mathrm{-4}$

${(\mathrm{-2}r)}^2\text{when}r=3$

$3m-2n\text{when}m=6,n=\mathrm{-8}$

$-\left|-y\right|\text{when}y=17$

$\text{the difference of −7 and −4}$

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

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

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

$n+6=5$

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

$\mathrm{-9}r=\mathrm{-54}$

$\text{The product of 15 and}x\text{is 75.}$

$\text{Eight less than}y\text{is −32.}$