Classifying Solutions to Linear Systems of Equations
Flashcard
•
Mathematics
•
9th Grade
•
Practice Problem
•
Hard
+4
Standards-aligned
Wayground Content
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
FLASHCARD QUESTION
Front
What does it mean for two lines to intersect?
Back
Two lines intersect when they cross each other at a single point, which represents the unique solution to the system of equations.
Tags
CCSS.8.EE.C.8A
3.
FLASHCARD QUESTION
Front
What are parallel lines?
Back
Parallel lines are lines in a plane that never meet. They have the same slope but different y-intercepts.
Tags
CCSS.HSG.CO.A.1
4.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has no solution?
Back
If a system of equations has no solution, it means the lines are parallel and will never intersect.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What does it mean if a system of equations has infinitely many solutions?
Back
If a system of equations has infinitely many solutions, it means the lines coincide, or are the same line, and every point on the line is a solution.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
How can you determine the number of solutions in a system of equations?
Back
You can determine the number of solutions by analyzing the slopes and y-intercepts of the lines. If the slopes are different, there is one solution; if they are the same but y-intercepts differ, there is no solution; if they are the same and y-intercepts are the same, there are infinitely many solutions.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What is the slope of a line?
Back
The slope of a line is a measure of its steepness, usually represented by 'm' in the equation y = mx + b. It is calculated as the change in y divided by the change in x.
Tags
CCSS.8.EE.B.5
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