Answer Key 2.1
- \(\begin{array}{rrl}
\\ \\
v+9&=&16 \\
-9&&-9 \\
\hline
v&=&7
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
14&=&b&+&3 \\
-3&&&-&3 \\
\hline
11&=&b&&
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
x&-&11&=&-16 \\
&+&11&&+11 \\
\hline
&&x&=&-5
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
-14&=&x&-&18 \\
+18&&&+&18 \\
\hline
x&=&4&&
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
30&=&a&+&20 \\
-20&&&-&20 \\
\hline
a&=&10&&
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
-1&+&k&=&5 \\
+1&&&&+1 \\
\hline
&&k&=&6
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
x&-&7&=&-26 \\
&+&7&&+7 \\
\hline
&&x&=&-19
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
-13&+&p&=&-19 \\
+13&&&&+13 \\
\hline
&&p&=&-6
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
13&=&n&-&5 \\
+5&&&+&5 \\
\hline
n&=&18&&
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
22&=&16&+&m \\
-16&&-16&& \\
\hline
m&=&6&&
\end{array}\) - \(\begin{array}{rrl}
\\ \\ \\
\dfrac{340}{-17}&=&\dfrac{-17x}{-17} \\ \\
x&=&-20
\end{array}\) - \(\begin{array}{rrl}
\\ \\ \\
\dfrac{4r}{4}&=&\dfrac{-28}{4} \\ \\
r&=&-7
\end{array}\) - \(\begin{array}{l}
\\ \\
\left(-9=\dfrac{n}{12}\right)(12) \\ \\
n=-108
\end{array}\) - \(\begin{array}{rrl}
\\ \\ \\
\dfrac{27}{9}&=&\dfrac{9b}{9} \\ \\
b&=&3
\end{array}\) - \(\begin{array}{rrl}
\\ \\ \\
\dfrac{20v}{20}&=&\dfrac{-160}{20} \\ \\
v&=&-8
\end{array}\) - \(\begin{array}{rrl}
\\ \\ \\
\dfrac{-20x}{-20}&=&\dfrac{-80}{-20} \\ \\
x&=&4
\end{array}\) - \(\begin{array}{rrl}
\\ \\ \\
\dfrac{340}{20}&=&\dfrac{20n}{20} \\ \\
n&=&17
\end{array}\) - \(\begin{array}{rrl}
\\ \\ \\
\dfrac{12}{8}&=&\dfrac{8a}{8} \\ \\
a&=&\dfrac{3}{2}
\end{array}\) - \(\begin{array}{rrl}
\\ \\ \\
\dfrac{16x}{16}&=&\dfrac{320}{16} \\ \\
x&=&20
\end{array}\) - \(\begin{array}{rrl}
\\ \\ \\
\dfrac{8k}{8}&=&\dfrac{-16}{8} \\ \\
k&=&-2
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
-16&+&n&=&-13 \\
+16&&&&+16 \\
\hline
&&n&=&3
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
-21&=&x&-&5 \\
+5&&&+&5 \\
\hline
x&=&-16&&
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
p&-&8&=&-21 \\
&+&8&&+8 \\
\hline
&&p&=&-13
\end{array}\) - \(\begin{array}{rrrrr}
\\ \\
m&-&4&=&-13 \\
&+&4&&+4 \\
\hline
&&m&=&-9
\end{array}\) - \(\begin{array}{l}
\\ \\
\left(\dfrac{r}{14}=\dfrac{5}{14}\right)(14) \\ \\
r=5
\end{array}\) - \(\begin{array}{l}
\\ \\
\left(\dfrac{n}{8}=40\right)(8) \\ \\
n=320
\end{array}\) - \(\begin{array}{rrl}
\\ \\ \\
\dfrac{20b}{20}&=&\dfrac{-200}{20} \\ \\
b&=&-10
\end{array}\) - \(\begin{array}{l}
\\ \\ \\ \\
\left(-\dfrac{1}{3}=\dfrac{x}{12}\right) (12) \\ \\
-\dfrac{1}{3}\cdot 12 = x \\
\phantom{-\dfrac{1}{3}\cdot 1}x=-4
\end{array}\)
