Graphing Systems of Inequalities

Graphing Systems of Inequalities

Assessment

Flashcard

Mathematics

9th Grade

Hard

CCSS
HSA.REI.D.12

Standards-aligned

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a system of inequalities?

Back

A system of inequalities is a set of two or more inequalities with the same variables. The solution is the region where the graphs of the inequalities overlap.

Tags

CCSS.HSA.REI.D.12

2.

FLASHCARD QUESTION

Front

How do you graph a linear inequality?

Back

1. Rewrite the inequality in slope-intercept form (y = mx + b). 2. Graph the boundary line (dashed for < or >, solid for ≤ or ≥). 3. Shade the region that satisfies the inequality.

Tags

CCSS.HSA.REI.D.12

3.

FLASHCARD QUESTION

Front

What does the shaded region in a graph of inequalities represent?

Back

The shaded region represents all the possible solutions to the system of inequalities.

Tags

CCSS.HSA.REI.D.12

4.

FLASHCARD QUESTION

Front

What is the difference between a solid line and a dashed line in graphing inequalities?

Back

A solid line indicates that points on the line are included in the solution (≤ or ≥), while a dashed line indicates that points on the line are not included (< or >).

Tags

CCSS.HSA.REI.D.12

5.

FLASHCARD QUESTION

Front

How can you determine if a point is a solution to a system of inequalities?

Back

Substitute the coordinates of the point into each inequality. If the point satisfies all inequalities, it is a solution.

6.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA.REI.D.12

7.

FLASHCARD QUESTION

Front

What does it mean if a point lies outside the shaded region of a graph of inequalities?

Back

It means that the point is not a solution to the system of inequalities.

Tags

CCSS.HSA.REI.D.12

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