Solving Systems by Graphing Unit Assessment: Section 2
Flashcard
•
Mathematics
•
7th - 9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a system of inequalities?
Back
A set of two or more inequalities with the same variables, representing a region on a graph where all inequalities are satisfied.
2.
FLASHCARD QUESTION
Front
How do you graph a system of inequalities?
Back
1. Graph each inequality as if it were an equation. 2. Use a dashed line for < or > and a solid line for ≤ or ≥. 3. Shade the appropriate region for each inequality. 4. The solution is where the shaded regions overlap.
3.
FLASHCARD QUESTION
Front
What does the solution of a system of inequalities represent?
Back
The solution represents all the points (x, y) that satisfy all inequalities in the system.
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 <).
5.
FLASHCARD QUESTION
Front
How can you determine if a point is a solution to a system of inequalities?
Back
Substitute the x and y values of the point into each inequality. If the point satisfies all inequalities, it is a solution.
6.
FLASHCARD QUESTION
Front
What does the inequality y > 2x - 4 represent graphically?
Back
It represents all points above the line y = 2x - 4, not including the line itself.
7.
FLASHCARD QUESTION
Front
What does the inequality y < 2 represent graphically?
Back
It represents all points below the horizontal line y = 2, not including the line itself.
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