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These sample problems below for Graphs to Linear Inequalities were generated by the MathScore.com engine.

Sample Problems For Graphs to Linear Inequalities

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Complexity=1, Mode=simple

Write the inequality that represents this graph. Examples: y>3x/4, x<=2, y>=1, y>-2x

1.   Inequality:

2.   Inequality:

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Complexity=1, Mode=y=mx+b

Write the inequality in y=mx+b format. Examples: y>2x-3, y<=-4x/3+1

1.   Inequality:

2.   Inequality:

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Complexity=2, Mode=y=mx+b

Write the inequality in y=mx+b format. Examples: y>2x-3, y<=-4x/3+1

1.   Inequality:

2.   Inequality:

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Answers

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Complexity=1, Mode=simple

Write the inequality that represents this graph. Examples: y>3x/4, x<=2, y>=1, y>-2x

#	Problem	Correct Answer	Your Answer
1		Inequality:
Solution Vertical lines have undefined slope, and are expressed in the form x=[x-intercept]. The shaded region is to the right of the line, so we use a greater than sign. The line is dashed, so use > for greater than. x > 3

#	Problem	Correct Answer	Your Answer
2		Inequality:
Solution The slope is 2/1 The shaded region is above the line, so we use a greater than sign. The line is solid, so use >= for greater than or equal to. y >= 2x

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Complexity=1, Mode=y=mx+b

Write the inequality in y=mx+b format. Examples: y>2x-3, y<=-4x/3+1

#	Problem	Correct Answer	Your Answer
1		Inequality:
Solution The slope is -5/2 The y intercept is -4 The shaded region is above the line, so we use a greater than sign. The line is solid, so use >= for greater than or equal to. Plugging this into y=mx+b results in

#	Problem	Correct Answer	Your Answer
2		Inequality:
Solution The slope is 1/4 The y intercept is 1 The shaded region is above the line, so we use a greater than sign. The line is dashed, so use > for greater than. Plugging this into y=mx+b results in

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Complexity=2, Mode=y=mx+b

Write the inequality in y=mx+b format. Examples: y>2x-3, y<=-4x/3+1

#	Problem	Correct Answer	Your Answer
1		Inequality:
Solution The slope is 2/5 The y intercept is 1 The shaded region is below the line, so we use a less than sign. The line is solid, so use <= for less than or equal to. Plugging this into y=mx+b results in

#	Problem	Correct Answer	Your Answer
2		Inequality:
Solution The slope is -3/2 The y intercept is -5 The shaded region is above the line, so we use a greater than sign. The line is solid, so use >= for greater than or equal to. Plugging this into y=mx+b results in

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