Solving Systems of Linear Inequalities(with 2 variables)

Solving Systems of Linear Inequalities(with 2 variables)

Assessment

Flashcard

Mathematics

9th - 12th Grade

Hard

CCSS
HSA.REI.D.12, 6.EE.B.8

Standards-aligned

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a system of linear inequalities?

Back

A system of linear 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

To graph a linear inequality, first graph the corresponding linear equation as a dashed or solid line, depending on whether the inequality is strict (<, >) or inclusive (≤, ≥). Then shade the region that satisfies the inequality.

Tags

CCSS.HSA.REI.D.12

3.

FLASHCARD QUESTION

Front

What does the inequality y > x + 1 represent on a graph?

Back

It represents the region above the line y = x + 1, not including the line itself.

Tags

CCSS.HSA.REI.D.12

4.

FLASHCARD QUESTION

Front

What does the inequality y ≤ -x + 1 represent on a graph?

Back

It represents the region below the line y = -x + 1, including the line itself.

Tags

CCSS.HSA.REI.D.12

5.

FLASHCARD QUESTION

Front

What is the solution to the system of inequalities?

Back

The solution to a system of inequalities is the set of all points that satisfy all inequalities in the system, typically represented as a shaded region on a graph.

Tags

CCSS.HSA.REI.D.12

6.

FLASHCARD QUESTION

Front

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

Back

To determine if a point is a solution, substitute the point's coordinates into each inequality. If the point satisfies all inequalities, it is a solution.

7.

FLASHCARD QUESTION

Front

What does the graph of x < -1 look like?

Back

The graph of x < -1 is a vertical dashed line at x = -1, with shading to the left, indicating all values less than -1.

Tags

CCSS.6.EE.B.8

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