Solve. Don't forget to check! \

$$x-19=16$$

Solve each formula for the indicated letter.
$E=m c^2$, for $m$

Convert to decimal notation. \

$$8.375 \%$$

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?

Graph on the number line. \

$$-3<x \leq 5$$

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. \

$$-7 x-24=-129$$

Solve.
The total attendance at NCAA basketball games for the $2009-2010$ school year was $33$ million. This was $31.25 \%$ less than the total attendance at NCAA football games during that year. What was the total attendance at NCAA football games during the $2009-2010$ school year?

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

Solve. Label any contradictions or identities. \

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

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 $2010$?

Graph on the number line. \

$$-2 \leq x \leq 2$$

Solve. Write the answer in both set-builder notation and interval notation. \

$$4(2 n-3) \leq 2(5 n-8)$$

Convert to decimal notation. \

$$6.25 \%$$