Systems of Inequalities Practice
Flashcard
•
Mathematics
•
9th Grade
•
Hard
+5
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 ordered pairs that satisfy all inequalities in the system.
Tags
CCSS.HSA.REI.D.12
2.
FLASHCARD QUESTION
Front
How do you graph a system of inequalities?
Back
To graph a system of inequalities, first graph each inequality as if it were an equation. Then, shade the region that satisfies the inequality. The solution to the system is where the shaded regions overlap.
Tags
CCSS.HSA.REI.D.12
3.
FLASHCARD QUESTION
Front
What does it mean if a system of inequalities has no solution?
Back
If a system of inequalities has no solution, it means that there is no ordered pair that satisfies all inequalities. This often occurs when the shaded regions do not overlap.
Tags
CCSS.HSA.REI.D.12
4.
FLASHCARD QUESTION
Front
What is the graphical representation of parallel lines in a system of equations?
Back
Parallel lines in a system of equations indicate that the system has no solution, as the lines never intersect.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
How can you determine if an ordered pair is a solution to a system of inequalities?
Back
To determine if an ordered pair is a solution, substitute the values of the ordered pair into each inequality. If the pair satisfies all inequalities, it is a solution.
6.
FLASHCARD QUESTION
Front
What is the solution to the system of equations 3x + 2y = 16 and 7x + y = 19?
Back
The solution is (2, 5).
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
7.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to be consistent?
Back
A system of equations is consistent if it has at least one solution, meaning the lines intersect at one or more points.
Tags
CCSS.8.EE.C.8B
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