Systems of Inequalities review
Flashcard
•
Mathematics
•
11th Grade
•
Hard
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 set of all points that satisfy all inequalities in the system.
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 solid line (for ≤ or ≥) or a dashed line (for < or >). Then, shade the region that satisfies the inequality.
Tags
CCSS.HSA.REI.D.12
3.
FLASHCARD QUESTION
Front
What does it mean when a point is a solution to a system of inequalities?
Back
A point is a solution to a system of inequalities if it satisfies all inequalities in the system, meaning it lies in the shaded region of the graph.
Tags
CCSS.HSA.REI.D.12
4.
FLASHCARD QUESTION
Front
What happens to the inequality symbol when you multiply or divide by a negative number?
Back
The inequality symbol flips direction when you multiply or divide both sides of an inequality by a negative number.
Tags
CCSS.6.EE.B.8
5.
FLASHCARD QUESTION
Front
Back
Tags
CCSS.HSA.REI.D.12
6.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to an inequality?
Back
To determine if a point is a solution to an inequality, substitute the x and y values of the point into the inequality. If the inequality holds true, the point is a solution.
7.
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 (for ≤ or ≥), while a dashed line indicates that points on the line are not included (for < or >).
Tags
CCSS.HSA.REI.D.12
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