Constant of Proportionality with Equations

Flashcard
•
Mathematics
•
7th - 8th Grade
•
Hard
+1
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is the constant of proportionality in a proportional relationship?
Back
The constant of proportionality is the constant 'k' in the equation y = kx, which represents the ratio of y to x.
Tags
CCSS.7.RP.A.2B
2.
FLASHCARD QUESTION
Front
How can you determine if an equation represents a proportional relationship?
Back
An equation represents a proportional relationship if it can be expressed in the form y = kx, where k is a non-zero constant, and it passes through the origin (0,0).
Tags
CCSS.7.RP.A.2C
3.
FLASHCARD QUESTION
Front
What does it mean if an equation does not represent a proportional relationship?
Back
If an equation does not represent a proportional relationship, it means that the relationship between the variables is not constant, and it may not pass through the origin.
Tags
CCSS.7.RP.A.2C
4.
FLASHCARD QUESTION
Front
What is the formula for a proportional relationship?
Back
The formula for a proportional relationship is y = kx, where k is the constant of proportionality.
Tags
CCSS.7.RP.A.2C
5.
FLASHCARD QUESTION
Front
In the equation y = 3x, what is the constant of proportionality?
Back
The constant of proportionality is 3.
Tags
CCSS.7.RP.A.2B
6.
FLASHCARD QUESTION
Front
Can the equation y = 5 + 2x represent a proportional relationship? Why or why not?
Back
No, because it includes a constant term (5) that shifts the line up, meaning it does not pass through the origin.
Tags
CCSS.7.RP.A.2D
7.
FLASHCARD QUESTION
Front
What is the graphical representation of a proportional relationship?
Back
The graphical representation of a proportional relationship is a straight line that passes through the origin.
Tags
CCSS.7.RP.A.2D
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