If \(y \left[
\begin{array}{cc}
2 & 4 \\
6 & 8 \\
\end{array}
\right]=\left[
\begin{array}{cc}
n & m \\
18 & p \\
\end{array}
\right]\) where y is a real number, what is m*p?

If \(y \left[
\begin{array}{cc}
n & 4 \\
3 & m \\
\end{array}
\right]=\left[
\begin{array}{cc}
k & 24 \\
n & p \\
\end{array}
\right]\) where y is a real number, what is k?

Which of the following augmented matrices represents the system of equations below?

4y+9x = 30
8x-3y = 7

You are saving money to buy your first car. For an entire school year, you work part-time as a babysitter for two families. You are able to work 2 hours per week for family 1 and 5 hours per week for family 2 during the 38-week school year. The first family pays you $20 an hour, and the second pays you $25 an hour. Which matrix product gives the total amount, in dollars, that you made during the school year?

If \(x=\frac{1}{2}\), what does \(x \left(
\begin{array}{cc}
2 x & -x \\
1 & 0 \\
\end{array}
\right)\) equal?

If \(A=\left(
\begin{array}{cc}
4 & -1 \\
3 & 2 \\
\end{array}
\right)\) and \(B=\left(
\begin{array}{c}
3 \\
2 \\
\end{array}
\right)\), what is BA?