Linear / Quadratic Systems of Equations

Flashcard
•
Mathematics
•
8th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
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 is a quadratic equation?
Back
An equation that can be expressed in the form ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.
3.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have no solution?
Back
It means that the lines represented by the equations do not intersect; they are parallel.
Tags
CCSS.8.EE.C.8A
4.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have one solution?
Back
It means that the lines represented by the equations intersect at exactly one point.
Tags
CCSS.8.EE.C.8A
5.
FLASHCARD QUESTION
Front
What does it mean for a system of equations to have two solutions?
Back
It means that the equations represent a line and a parabola that intersect at two distinct points.
Tags
CCSS.HSA.REI.C.7
6.
FLASHCARD QUESTION
Front
What is the standard form of a circle's equation?
Back
The standard form is (x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.
Tags
CCSS.HSG.GPE.A.1
7.
FLASHCARD QUESTION
Front
How do you find the center of a circle from its equation?
Back
The center can be found from the equation (x - h)² + (y - k)² = r² as (h, k).
Tags
CCSS.HSG.GPE.A.1
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