Practice - Algebra 1

2.14.6 Practice

2.14.6 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

In questions 1 - 5, determine whether each ordered pair is a solution to the system.

$\begin{array}{c}\left\{\begin{array}{l} 3x + y > 5 \\ 2x − y ≤ 10 \end{array}\right.\\\\\end{array}$

(3, -3)

Yes
No

$(7,1)$

Yes
No

$\begin{array}{c}\left\{\begin{array}{l} 4x − y < 10 \\ -2x + 2y > -8 \end{array}\right.\\\\\end{array}$

(5, -2)

Yes
No

$(-1, 3)$

Yes
No

$\begin{array}{c}\left\{\begin{array}{l} y>\frac23x-5 \\ x+\frac12y\leq4 \end{array}\right.\\\\\end{array}$

(6, −4)

Yes
No

$(3, 0)$

Yes
No

$\begin{array}{c}\left\{\begin{array}{l} y<\frac32x+3 \\ \frac34x-2y<5 \end{array}\right.\\\\\end{array}$

(−4, −1)

Yes
No

$(8, 3)$

Yes
No

$\begin{array}{c}\left\{\begin{array}{l} 6x - 5y < 20 \\ -2x + 7y > -8 \end{array}\right.\\\\\end{array}$

(1, −3)

Yes
No

$(-4, 4)$

Yes
No

Two inequalities are graphed on the same coordinate plane. Which region represents the solution to the system of the two inequalities?

Region A
Region B
Region C
Region D