Graphs to Linear Inequalities - Sample Math Practice Problems

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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:

Complexity=1, Mode=y=mx+b

Write the inequality in y = mx + b format. Examples:   y > 2x - 3,   y ≤ -4x/3 + 1.
For less-than-or-equal-to or greater-than-or-equal-to signs, type two symbols. Example: type y <= x for y ≤ x.

1.   Inequality:

2.   Inequality:

Complexity=2, Mode=y=mx+b

Write the inequality in y = mx + b format. Examples:   y > 2x - 3,   y ≤ -4x/3 + 1.
For less-than-or-equal-to or greater-than-or-equal-to signs, type two symbols. Example: type y <= x for y ≤ x.

1.   Inequality:

2.   Inequality:

Answers

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 Horizontal lines have a slope of 0, and are expressed in the form y=[y-intercept] The shaded region is above the line, so we use a greater than sign. The line is dashed, so use > for greater than. y > 3

#	Problem	Correct Answer	Your Answer
2		Inequality:
Solution Horizontal lines have a slope of 0, and are expressed in the form y=[y-intercept] The shaded region is above the line, so we use a greater than sign. The line is dashed, so use > for greater than. y > - 2

Complexity=1, Mode=y=mx+b

Write the inequality in y = mx + b format. Examples:   y > 2x - 3,   y ≤ -4x/3 + 1.
For less-than-or-equal-to or greater-than-or-equal-to signs, type two symbols. Example: type y <= x for y ≤ x.

#	Problem	Correct Answer	Your Answer
1		Inequality:
Solution The slope is 3 The y intercept is -1 The shaded region is below the line, so we use a less than sign. The line is dashed, so use < for less than. Plugging this into y=mx+b results in y < 3x - 1

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

Complexity=2, Mode=y=mx+b

Write the inequality in y = mx + b format. Examples:   y > 2x - 3,   y ≤ -4x/3 + 1.
For less-than-or-equal-to or greater-than-or-equal-to signs, type two symbols. Example: type y <= x for y ≤ x.

#	Problem	Correct Answer	Your Answer
1		Inequality:
Solution The slope is -5/4 The y intercept is -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. Plugging this into y=mx+b results in

#	Problem	Correct Answer	Your Answer
2		Inequality:
Solution The slope is 5/4 The y intercept is -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. Plugging this into y=mx+b results in