8.2 Solve equations using the division and multiplication properties  (Page 2/2)

$8x=32$

$7p=63$

$\mathrm{-5}c=55$

$\mathrm{-9}x=\mathrm{-27}$

$\mathrm{-90}=6y$

$\mathrm{-72}=12y$

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

$\mathrm{-8}m=\mathrm{-56}$

$0.25z=3.25$

$0.75a=11.25$

$\mathrm{-3}x=0$

$4x=0$

$\frac{x}{4}=15$

$\frac{z}{2}=14$

$\mathrm{-20}=\frac{q}{\mathrm{-5}}$

$\frac{c}{\mathrm{-3}}=\mathrm{-12}$

$\frac{y}{9}=\mathrm{-6}$

$\frac{q}{6}=\mathrm{-8}$

$\frac{m}{\mathrm{-12}}=5$

$\mathrm{-4}=\frac{p}{\mathrm{-20}}$

$\frac{2}{3}y=18$

$\frac{3}{5}r=15$

$-\frac{5}{8}w=40$

$24=-\frac{3}{4}x$

$-\frac{2}{5}=\frac{1}{10}a$

$-\frac{1}{3}q=-\frac{5}{6}$

$8a+3a-6a=\mathrm{-17}+27$

$6y-3y+12y=\mathrm{-43}+28$

$\mathrm{-9}x-9x+2x=50-2$

$\mathrm{-5}m+7m-8m=\mathrm{-6}+36$

$100-16=4p-10p-p$

$\mathrm{-18}-7=5t-9t-6t$

$\frac{7}{8}n-\frac{3}{4}n=9+2$

$\frac{5}{12}q+\frac{1}{2}q=25-3$

$0.25d+0.10d=6-0.75$

$0.05p-0.01p=2+0.24$

Balloons Ramona bought $18$ balloons for a party. She wants to make $3$ equal bunches. Find the number of balloons in each bunch, $b,$ by solving the equation $3b=18.$

Teaching Connie’s kindergarten class has $24$ children. She wants them to get into $4$ equal groups. Find the number of children in each group, $g,$ by solving the equation $4g=24.$

Ticket price Daria paid $\text{\$36.25}$ for $5$ children’s tickets at the ice skating rink. Find the price of each ticket, $p,$ by solving the equation $5p=36.25.$

Unit price Nishant paid $\text{\$12.96}$ for a pack of $12$ juice bottles. Find the price of each bottle, $b,$ by solving the equation $12b=12.96.$

Fuel economy Tania’s SUV gets half as many miles per gallon (mpg) as her husband’s hybrid car. The SUV gets $\text{18 mpg}.$ Find the miles per gallons, $m,$ of the hybrid car, by solving the equation $\frac{1}{2}m=18.$

Fabric The drill team used $14$ yards of fabric to make flags for one-third of the members. Find how much fabric, $f,$ they would need to make flags for the whole team by solving the equation $\frac{1}{3}f=14.$

Frida started to solve the equation $\mathrm{-3}x=36$ by adding $3$ to both sides. Explain why Frida’s method will result in the correct solution.

Emiliano thinks $x=40$ is the solution to the equation $\frac{1}{2}x=80.$ Explain why he is wrong.