A music school Terry is interested in is offering a special for new students. If Terry enrolls in 2 classes, he has to pay a fee in addition to the price of classes for a total of $18. If he decides to take 6 classes, the fee is subtracted from his total for a total of $38. Follow the steps below to lind the cost of each class and the price of the fee.

	Classes	+	Fee	=	Total Price
Price for 2 classes	2x	+	y	=
Price for 6 classes	6x		y	=	33

Use the information in the table to write a system of equations.

Use properties and operations to show that the first expression simplifies the second expression.

$$7 a-2(a+1), 5 a-2$$

Graph each system of linear inequalities. Describe the solutions.

$$\left\{ \begin{array} { l } { y < 3 } \\ { y > 5 } \end{array} \right.$$

Graph the solutions of the linear inequality. Check your answer.

$$y \leq 2-3 x$$

Solve each system by substitution. Check your answer.

An electronics store makes $\$ 125$ profit on every DVD player it sells and $\$ 100$ on every CD player it sells. The store owner wants to make a profit of at least $\$ 500$ a day selling DVD players and CD players.

Write a linear inequality to determine the number of DVD players $x$ and the number of CD players $y$ that the owner needs to sell to meet his goal.

Classify each system. Give the number of solutions.

$$\left\{ \begin{array} { l } { y - 1 = 2 x } \\ { y = 2 x - 1 } \end{array} \right.$$

Solve the given system of equations below by elimination. Check your answer.

$$\left\{\begin{array}{l}x+y=12 \\ 2 x+5 y=27\end{array}\right.$$

Use properties and operations to show that the first expression simplifies the second expression.

$$4(x-1)+x, 5 x-4$$

Which is incorrect? Explain the error.

(A)

$$\left\{\begin{aligned} x+y & =-3 \\ 3 x+y & =3 \end{aligned}\right. ~~~~~~~~\begin{aligned} &x+y =-3 \\ &\underline{-(3 x+y =3)} \\ &~~~~~~-2x=0\\ &~~~~~~~~~~~~x=0\end{aligned}$$

(B)

$$\left\{\begin{aligned} x+y & =-3 \\ 3 x+y & =3 \end{aligned}\right. ~~~~~~~~\begin{aligned} &x+y =-3 \\ &\underline{-(3 x+y =3)} \\ &~~~~~~-2x=6\\ &~~~~~~~~~~~~x=3\end{aligned}$$

Solve each system by substitution. Check your answer.

$$\left\{ \begin{array} { l } { y = 1.2 x - 4 } \\ { 2.2 x + 5 = y } \end{array} \right.$$

Graph each system of linear inequalities. Give two ordered pairs that are solutions and two that are not solutions.

$$\left\{ \begin{array} { l } { 9 x + 3 y \leq 6 } \\ { y > x } \end{array} \right.$$

Use a graphing calculator to graph and solve the systems of equations. Round your answer to the nearest tenth. $$ \left\{ \begin{array} { l } { y = 6.9 x + 12.4 } \\ { y = - 4.1 x - 5.3 } \end{array} \right.$ $$

Write a word problem that can be solved by solving this system of equations.

$$\left\{\begin{array}{l}a+b=20 \\ 0.25 a+0.5 b=6\end{array}\right.$$