Graphing Two Variable Inequalities on the Coordinate Plane

Graphing Two Variable Inequalities on the Coordinate Plane

6th Grade

20 Qs

quiz-placeholder

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Graphing Two Variable Inequalities on the Coordinate Plane

Graphing Two Variable Inequalities on the Coordinate Plane

Assessment

Quiz

Mathematics

6th Grade

Hard

CCSS
HSA.REI.D.12, 8.EE.B.5

Standards-aligned

Created by

Anthony Clark

FREE Resource

20 questions

Show all answers

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

Media Image

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

Media Image

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

Media Image

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

Media Image

Choose the correct inequality for this graph.

Tags

CCSS.HSA.REI.D.12

6.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Media Image

Choose the correct inequality for this graph.

Tags

CCSS.HSA.REI.D.12

7.

MULTIPLE CHOICE QUESTION

1 min • 5 pts

Media Image

Choose the correct inequality for this graph.

Tags

CCSS.HSA.REI.D.12

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