Rate of Change

Flashcard
•
Mathematics
•
7th - 9th Grade
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of rate of change?
Back
The rate of change is a measure of how a quantity changes in relation to another quantity, often expressed as a ratio or slope.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
2.
FLASHCARD QUESTION
Front
How do you calculate the slope of a line given two points (x1, y1) and (x2, y2)?
Back
The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What does the slope represent in a linear equation?
Back
The slope represents the rate of change of the dependent variable with respect to the independent variable.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
In the equation y = mx + b, what does 'b' represent?
Back
The 'b' represents the y-intercept, which is the point where the line crosses the y-axis.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
5.
FLASHCARD QUESTION
Front
What is the slope of the line that passes through the points (2, 4) and (6, 12)?
Back
The slope is 2.
Tags
CCSS.8.EE.B.5
6.
FLASHCARD QUESTION
Front
How do you interpret a negative slope?
Back
A negative slope indicates that as the independent variable increases, the dependent variable decreases.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
What is the formula for finding the rate of change between two points?
Back
The formula is Rate of Change = (Change in y) / (Change in x) = (y2 - y1) / (x2 - x1).
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
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