Practice - Algebra 1

2.11.5 Practice

2.11.5 • Practice

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

For questions 1 – 3, determine whether each ordered pair is a solution to the inequality $y > x − 1$ .

$(0,1)$

Yes
No

$(−4,−1)$

Yes
No

$(4,2)$

Yes
No

For questions 4 - 6, determine whether each ordered pair is a solution to the inequality

y > x - 3

.

$(0,0)$

Yes
No

$(2,1)$

Yes
No

$(−1,−5)$

Yes
No

For questions 7 and 8, determine whether each ordered pair is a solution to the inequality $2x + 3y > 2$ .

$(1,1)$

Yes
No

$(4,−3)$

Yes
No

Which inequality represents the graph?

graph of y < 3x − 4

$y\;\geq\;3x\;-\;4$
$y > 3x − 4$
$y < 3x − 4$
$y\;\leq\;3x\;-\;4$

For questions 10 and 11, use this graph of the equation $2y−x=1$ as a guide to answer the questions.

Graph of a line.

Is the point $(0, \frac12)$ a solution to the equation?

Yes
No

Is the point $(0,2)$ a solution to the inequality $2y-x>1$ ?

Yes
No

Consider the linear equation $2y − 3x = 5$ . The pair $(-1,1)$ is a solution to the equation. Which of the following is also a solution to the equation?

$(-3, -1)$
$(5, 11)$
$(3, 7)$
$(1, 5)$

The boundary line on the graph represents the equation $5x + 2y = 6$ . Write an inequality that is represented by the graph.

graph with boundary line that represents the equation 5x + 2y = 6

$5x + 2y < 6$
$5x + 2y < 2$
$-5x - 2y < 6$
$5x + 2y < -6$