1. [tex]\frac{1}{6}x=4[/tex] Multiply 6 on both sides
[tex](6)\frac{1}{6}x = 4(6)[/tex]
x = 24 [to check it, you can plug 24 in for x in the equation, and do the same for 1-9]
2. [tex]\frac{5}{6}n = 15[/tex] Multiply 6/5 on both sides
[tex](\frac{6}{5} )\frac{5}{6}x=15(\frac{6}{5})[/tex]
[tex]x = \frac{90}{5}[/tex]
x = 18
3. [tex]\frac{2}{3}d=\frac{14}{15}[/tex] Multiply 3/2 on both sides
[tex](\frac{3}{2} )\frac{2}{3}d=\frac{14}{15}(\frac{3}{2})[/tex]
[tex]d=\frac{42}{30}[/tex]
[tex]d=\frac{7}{5}[/tex]
4. [tex]\frac{3}{4}w=\frac{21}{30}[/tex] Multiply 4/3 on both sides
[tex](\frac{4}{3})\frac{3}{4}w=\frac{21}{30}(\frac{4}{3})[/tex]
[tex]w = \frac{84}{90}[/tex]
[tex]w=\frac{14}{15}[/tex]
5. [tex]\frac{3}{5}t=12[/tex] Multiply 5/3 on both sides
[tex](\frac{5}{3})\frac{3}{5}t = 12(\frac{5}{3})[/tex]
[tex]t=\frac{60}{3}[/tex]
t = 20
6. [tex]\frac{1}{8}a=\frac{1}{3}[/tex] Multiply 8/1 or 8 on both sides
[tex](8)\frac{1}{8}a=\frac{1}{3}(8)[/tex]
[tex]a=\frac{8}{3}[/tex]
7. [tex]-\frac{1}{6}x = -5[/tex] Multiply -6/1 or -6 on both sides
[tex](-6)-\frac{1}{6} x = -5(-6)[/tex]
x = 30
8. [tex]\frac{9}{4} r=-\frac{27}{32}[/tex] Multiply 4/9 on both sides
[tex](\frac{4}{9})\frac{9}{4} r=-\frac{27}{32} (\frac{4}{9})[/tex]
[tex]r=-\frac{108}{288}[/tex]
[tex]r=-\frac{3}{8}[/tex]
9. [tex]-\frac{2}{5} m=4[/tex] Multiply -5/2 on both sides
[tex](-\frac{5}{2})-\frac{2}{5}m=4(-\frac{5}{2} )[/tex]
m = -10
