Linear vs. Nonlinear

Flashcard
•
Mathematics
•
6th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear function?
Back
A linear function is a function that can be graphically represented as a straight line. It has the form f(x) = 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 nonlinear function?
Back
A nonlinear function is a function that does not form a straight line when graphed. Its graph can be curved or have varying slopes.
Tags
CCSS.8.F.A.3
3.
FLASHCARD QUESTION
Front
How can you identify a linear equation from a set of equations?
Back
A linear equation will have variables raised only to the first power and can be written in the form Ax + By = C.
Tags
CCSS.8.F.A.3
4.
FLASHCARD QUESTION
Front
What is the slope of a linear function?
Back
The slope of a linear function is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a linear equation?
Back
The y-intercept is the point where the graph of the equation crosses the y-axis, representing the value of y when x is zero.
6.
FLASHCARD QUESTION
Front
Can a linear function have a slope of zero?
Back
Yes, a linear function can have a slope of zero, which means it is a horizontal line.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
What is the general form of a linear equation in two variables?
Back
The general form of a linear equation in two variables is Ax + By + C = 0, where A, B, and C are constants.
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