Graphing Two Variable Inequalities on the Coordinate Plane
Authored by Anthony Clark
Mathematics
6th Grade
CCSS covered
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20 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
The __________ is a measure of the steepness of a line, or a section of a line, connecting two points.
Table
Identity
Slope
Y-Intercept
Tags
CCSS.8.EE.B.5
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
If the inequality is y<1x/2+1, what is the correct way to graph it?
Graph the line y = (1/2)x + 1 as a dashed line and shade below it.
Graph the line y = (1/2)x + 1 as a dashed line and shade above it.
Graph the line y = (1/2)x + 1 and do not shade any area.
Graph the line y = (1/2)x + 1 as a solid line and shade above it.
Answer explanation
To graph the inequality y < (1/2)x + 1, first graph the line y = (1/2)x + 1 as a dashed line, indicating that points on the line are not included. Then, shade below the line to represent all y-values less than the line.
Tags
CCSS.HSA.REI.D.12
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following statements about the solution set of a two-variable inequality is true?
The solution set is a single point in the coordinate plane.
The solution set can only be represented as a line segment.
The solution set is a region in the coordinate plane.
The solution set is always empty for two-variable inequalities.
Answer explanation
The correct choice is that the solution set is a region in the coordinate plane. Two-variable inequalities typically represent areas, such as half-planes, rather than just points or line segments.
Tags
CCSS.HSA.REI.D.12
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following inequalities represents the shaded region above the line y=-3x+5?
y > -3x + 5
y < -3x + 5
y = -3x + 5
y ≥ -3x + 5
Answer explanation
The inequality y > -3x + 5 represents the region above the line y = -3x + 5. The other options either include the line or represent the area below it, making them incorrect.
Tags
CCSS.HSA.REI.D.12
5.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
Choose the correct inequality for this graph.
Tags
CCSS.HSA.REI.D.12
6.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
Choose the correct inequality for this graph.
Tags
CCSS.HSA.REI.D.12
7.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
Choose the correct inequality for this graph.
Tags
CCSS.HSA.REI.D.12
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