solve systems by graphing

Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
+2
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a system of equations?
Back
A set of two or more equations with the same variables.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
2.
FLASHCARD QUESTION
Front
What does it mean to solve a system of equations by graphing?
Back
It means to find the point(s) where the graphs of the equations intersect.
Tags
CCSS.8.EE.C.8B
3.
FLASHCARD QUESTION
Front
What is the solution to a system of equations?
Back
The point(s) where the equations intersect, representing the values of the variables that satisfy all equations.
Tags
CCSS.8.EE.C.8B
CCSS.HSA.REI.C.6
4.
FLASHCARD QUESTION
Front
What does it mean if two lines are parallel in a system of equations?
Back
It means there is no solution, as the lines never intersect.
Tags
CCSS.8.EE.C.8B
5.
FLASHCARD QUESTION
Front
What does it mean if two lines coincide in a system of equations?
Back
It means there are infinitely many solutions, as the lines overlap completely.
Tags
CCSS.8.EE.C.8A
6.
FLASHCARD QUESTION
Front
How can you determine the number of solutions in a system of equations?
Back
By analyzing the slopes and y-intercepts of the lines: same slope and intercept = infinitely many solutions; same slope, different intercept = no solution; different slopes = one solution.
Tags
CCSS.8.EE.C.8B
7.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
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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