3.2 Add integers  (Page 4/4)

$7+4$

$8+5$

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

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

$\mathrm{-7}+5$

$\mathrm{-9}+6$

$8+(\mathrm{-7})$

$9+(\mathrm{-4})$

$\mathrm{-21}+(\mathrm{-59})$

$\mathrm{-35}+(\mathrm{-47})$

$48+(\mathrm{-16})$

$34+(\mathrm{-19})$

$\mathrm{-200}+65$

$\mathrm{-150}+45$

$2+(\mathrm{-8})+6$

$4+(\mathrm{-9})+7$

$\mathrm{-14}+(\mathrm{-12})+4$

$\mathrm{-17}+(\mathrm{-18})+6$

$135+(\mathrm{-110})+83$

$140+(\mathrm{-75})+67$

$\mathrm{-32}+24+(\mathrm{-6})+10$

$\mathrm{-38}+27+(\mathrm{-8})+12$

$19+2(\mathrm{-3}+8)$

$24+3(\mathrm{-5}+9)$

$x+8$ when

1. ⓐ $x=\mathrm{-26}$
2. ⓑ $x=\mathrm{-95}$

$y+9$ when

1. ⓐ $y=\mathrm{-29}$
2. ⓑ $y=\mathrm{-84}$

$y+(\mathrm{-14})$ when

1. ⓐ $y=\mathrm{-33}$
2. ⓑ $y=30$

$x+(\mathrm{-21})$ when

1. ⓐ $x=\mathrm{-27}$
2. ⓑ $x=44$

When $a=\mathrm{-7},$ evaluate:

1. ⓐ $a+3$
2. ⓑ $-a+3$

When $b=\mathrm{-11},$ evaluate:

1. ⓐ $b+6$
2. ⓑ $-b+6$

$m+n$ when, $m=\mathrm{-15},n=7$

$p+q$ when, $p=\mathrm{-9},q=17$

$r\mathrm{-3}s$ when, $r=16,$ $s=2$

$2t+u$ when, $t=\mathrm{-6},$ $u=\mathrm{-5}$

${(a+b)}^2$ when, $a=\mathrm{-7},$ $b=15$

${(c+d)}^2$ when, $c=\mathrm{-5},d=14$

${(x+y)}^2$ when, $x=\mathrm{-3},y=14$

${(y+z)}^2$ when, $y=\mathrm{-3},z=15$

The sum of $\mathrm{-14}$ and $5$

The sum of $\mathrm{-22}$ and $9$

$8$ more than $\mathrm{-2}$

$5$ more than $\mathrm{-1}$

$\mathrm{-10}$ added to $\mathrm{-15}$

$\mathrm{-6}$ added to $\mathrm{-20}$

Temperature The temperature in St. Paul, Minnesota was $\mathrm{-19}\text{°F}$ at sunrise. By noon the temperature had risen $\text{26°F.}$ What was the temperature at noon?

Temperature The temperature in Chicago was $\mathrm{-15}\text{°F}$ at 6 am. By afternoon the temperature had risen $\text{28°F.}$ What was the afternoon temperature?

Credit Cards Lupe owes $\text{\$73}$ on her credit card. Then she charges $\text{\$45}$ more. What is the new balance?

Credit Cards Frank owes $\text{\$212}$ on his credit card. Then he charges $\text{\$105}$ more. What is the new balance?

Weight Loss Angie lost $\text{3 pounds}$ the first week of her diet. Over the next three weeks, she lost $\text{2 pounds,}$ gained $\text{1 pound,}$ and then lost $\text{4 pounds.}$ What was the change in her weight over the four weeks?

Weight Loss April lost $\text{5 pounds}$ the first week of her diet. Over the next three weeks, she lost $\text{3 pounds,}$ gained $\text{2 pounds,}$ and then lost $\text{1 pound.}$ What was the change in her weight over the four weeks?

Football The Rams took possession of the football on their own $\text{35-yard line.}$ In the next three plays, they lost $\text{12 yards,}$ gained $\text{8 yards,}$ then lost $\text{6 yards.}$ On what yard line was the ball at the end of those three plays?

Football The Cowboys began with the ball on their own $\text{20-yard line.}$ They gained $\text{15 yards,}$ lost $\text{3 yards}$ and then gained $\text{6 yards}$ on the next three plays. Where was the ball at the end of these plays?

Calories Lisbeth walked from her house to get a frozen yogurt, and then she walked home. By walking for a total of $\text{20 minutes,}$ she burned $\text{90 calories.}$ The frozen yogurt she ate was $\text{110 calories.}$ What was her total calorie gain or loss?

Calories Ozzie rode his bike for $\text{30 minutes,}$ burning $\text{168 calories.}$ Then he had a $\text{140-calorie}$ iced blended mocha. Represent the change in calories as an integer?

Stock Market The week of September 15, 2008, was one of the most volatile weeks ever for the U.S. stock market. The change in the Dow Jones Industrial Average each day was:

$\begin{array}{cccccc}\text{Monday}\hfill & \mathrm{-504}\hfill & \text{Tuesday}\hfill & +142\hfill & \text{Wednesday}\hfill & \mathrm{-449}\hfill \\ \text{Thursday}\hfill & +410\hfill & \text{Friday}\hfill & +369\hfill & \end{array}$

What was the overall change for the week?

Stock Market During the week of June 22, 2009, the change in the Dow Jones Industrial Average each day was:

$\begin{array}{cccccc}\text{Monday}\hfill & \mathrm{-201}\hfill & \text{Tuesday}\hfill & \mathrm{-16}\hfill & \text{Wednesday}\hfill & \mathrm{-23}\hfill \\ \text{Thursday}\hfill & +172\hfill & \text{Friday}\hfill & \mathrm{-34}\hfill & \end{array}$

What was the overall change for the week?

Explain why the sum of $\mathrm{-8}$ and $\text{2}$ is negative, but the sum of $\text{8}$ and $\mathrm{-2}$ and is positive.

Give an example from your life experience of adding two negative numbers.