Graphing Linear Inequalities

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•
Mathematics
•
8th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear inequality?
Back
A linear inequality is a mathematical statement that compares a linear expression to a value using inequality symbols (e.g., <, >, ≤, ≥).
2.
FLASHCARD QUESTION
Front
What does the graph of a linear inequality represent?
Back
The graph of a linear inequality represents all the solutions that satisfy the inequality, typically shown as a shaded region on one side of a boundary line.
Tags
CCSS.HSA.REI.D.12
3.
FLASHCARD QUESTION
Front
How do you graph a linear inequality in two variables?
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 appropriate region based on the inequality.
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
What does the inequality 3x - 2y < 10 represent graphically?
Back
It represents a region below the line 3x - 2y = 10, where all points (x, y) satisfy the inequality.
Tags
CCSS.HSA.REI.D.12
6.
FLASHCARD QUESTION
Front
How can you determine which side of the line to shade when graphing an inequality?
Back
You can test a point not on the line (commonly (0,0)). If the point satisfies the inequality, shade the side containing that point; otherwise, shade the opposite side.
Tags
CCSS.HSA.REI.D.12
7.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
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