Find the size of the matrix. Identify any square, col

$$\left[\begin{array}{l}2 \\ 4\end{array}\right]$$

Solve the nonlinear system of equations.

$$\begin{aligned} & x^2+y^2=25 \\ & x+y=7 \end{aligned}$$

Find the inverse, if it exists, for the matrix.

$$\left[\begin{array}{rrr}1 & 0 & 1 \\ 0 & -1 & 0 \\ 2 & 1 & 1\end{array}\right]$$

Find the partial fraction decomposition for the rational expression.

$$\frac{x^3+4}{9 x^3-4 x}$$

Solve the given system by substitution.

$$\begin{aligned} &3 y=5 x+6 \\ &x+y=2 \end{aligned}$$

Graph the inequality.

In your own words, explain how to determine whether the boundary of the graph of an inequality is solid or dashed.

Graph the inequality.

$$(x-4)^2+(y+3)^2 \leq 9$$

Write a system of linear equations, and then use the system to solve the problem.

A company sells recordable CDs for $80 \%$ each and play-only CDs for $60 \%$ each. The company receives $\$ 76$ for an order of $100$ CDs. However, the customer neglected to specify how many of each type to send. Determine the number of each type of CD that should be sent.

Solve the given system by substitution.

$$\begin{aligned} &3 x-7 y=15 \\ &3 x+7 y=15 \end{aligned}$$

Give all solutions of the nonlinear system of equations, including those with nonreal complex components.

$$\begin{array}{r} x^2+y^2=5 \\ -3 x+4 y=2 \end{array}$$

Find the value of the determinant.

$$\left|\begin{array}{rrr}8 & -2 & -4 \\ 7 & 0 & 3 \\ 5 & -1 & 2\end{array}\right|$$

Find the size of the matrix. Identify any square, col

$$\left[\begin{array}{lllll}8 & -2 & 4 & 6 & 3\end{array}\right]$$

Find the inverse, if it exists, for the matrix.

$$\left[\begin{array}{ll}-6 & 4 \\ -3 & 2\end{array}\right]$$

Solve the nonlinear system of equations.

$$\begin{aligned} 2 x^2+y^2 & =6 \\ x^2-4 y^2 & =-15 \end{aligned}$$