Solve each formula for the given letter.
$C=\pi d$, for $d$

Graph on the number line. \

$$-3<x \leq 5$$

Solve.
The perimeter of a rectangular calculator is $36 \mathrm{~cm}$. The length is $4 \mathrm{~cm}$ greater than the width. Find the width and the length.

Solve. Don't forget to check! \

$$x-19=16$$

Use an inequality and the five-step process to solve each problem.
Vanessa's financial aid stipulates that her tuition not exceed $\$ 2500$. If her local community college charges a $\$ 95$ registration fee plus $\$ 675$ per course, what is the greatest number of courses for which Vanessa can register?

Convert to decimal notation. \

$$8.375 \%$$

Solve. Even though you might find the answer quickly in another way, use the five-step process in order to build the skill of problem solving.
In $2009$, Americans spent a total of $\$ 286$ billion to remodel homes. They spent $\$ 178$ billion more on owner-occupied homes than on rental units. How much was spent on each?

Solve and check. \

$$-6 z-18=-132$$

Solve. Don't forget to check! \

$$x-18=23$$

Use an inequality and the five-step process to solve each problem.
RJ's Plumbing and Heating charges $\$ 55$ plus $\$ 40$ per hour for emergency service. Gary remembers being billed over $\$ 150$ for an emergency call. How long was RJ's there?

Solve. Label any contradictions or identities. \

$$3(x-4)+2=x+2(x-5)$$

Convert to decimal notation. \

$$6.25 \%$$

Solve each formula for the indicated letter.
$E=m c^2$, for $c^2$ (A relativity formula from physics)

Solve. Even though you might find the answer quickly in another way, use the five-step process in order to build the skill of problem solving.
In $2010$, approximately $294$ billion e-mail messages were sent each day. The number of spam messages was about nine times the number of nonspam messages. How many of each type of message were sent each day in $2010$?