91Ó°ÊÓ

Graph Each System of Inequalities. Name the coordinates of the vertices of the feasible region. Find the maximum and minimum values of the given function for this region.

$\begin{array}{c}xâ‰\yen 2\\ yâ‰\yen 1\\ x-2yâ‰\yen -4\\ x+y≤8\\ 2x-y≤7\\ f(x,y)=x-4y\\ \end{array}$

Solve each system of equations by using either substitution or elimination.

$\begin{array}{l}2p=7+q\\ 6p−3q=24\end{array}$

Find the coordinates of the vertices of the figure formed by each system of inequalities.

$\begin{array}{c}yâ‰\yen x−5\\ y≤2x+11\\ x+2y≤12\\ x+2yâ‰\yen 2\end{array}$

Graph each system of equations and describe it as consistent and independent, consistent and dependent, or inconsistent.

$\begin{array}{c}y−x=5\\ 2y−2x=8\end{array}$

In the figure, $\mathrm{Δ}\mathbf{MOQ}$is similar to$\mathrm{Δ}\mathbf{NOP}.$What is the length of$\stackrel{¯}{\mathrm{MQ}}?$

(A) 12

(B) 12.5

(C) 19

(D) 21

Graph each system of inequalities. Name the coordinates of the vertices of the feasible region. Find the maximum and minimum values of the given function for this region

$\begin{array}{c}3.yâ‰\yen 2\\ xâ‰\yen 1\\ x+2y≤9\\ f\left(x,y\right)=2x−3y\end{array}$

Explain why it is important to check a solution found by graphing in both of the original equations.

Juanita and Vincent are solving the system $2x-y=6\text{and}2x+y=10$.

Juanita : x=4, y=-2

Vincent : x=4, y=2

Who is correct? Explainyour reasoning.

Choose the letter of the term that best matches each phase.

3. The region of a graph where every constraint is met.

State which region is the solution of the following system of inequalities.