Initial Value and Rate of Change

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
+7
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of initial value in a linear equation?
Back
The initial value is the y-intercept of the equation, representing the starting point of the dependent variable when the independent variable is zero.
Tags
CCSS.8.EE.B.5
2.
FLASHCARD QUESTION
Front
How do you determine the rate of change from a graph?
Back
The rate of change is determined by calculating the slope of the line, which is the change in the y-values divided by the change in the x-values.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
3.
FLASHCARD QUESTION
Front
What does a negative rate of change indicate in a real-world context?
Back
A negative rate of change indicates a decrease in the quantity being measured over time.
Tags
CCSS.HSF-LE.A.1B
4.
FLASHCARD QUESTION
Front
In the equation y = mx + b, what do 'm' and 'b' represent?
Back
'm' represents the rate of change (slope), and 'b' represents the initial value (y-intercept).
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
5.
FLASHCARD QUESTION
Front
How can you interpret the unit rate in a real-world scenario?
Back
The unit rate provides a comparison of two different quantities, showing how much of one quantity corresponds to one unit of another quantity.
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
6.
FLASHCARD QUESTION
Front
What is the formula for calculating the slope between 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
7.
FLASHCARD QUESTION
Front
What is the significance of the y-intercept in a linear function?
Back
The y-intercept indicates the value of the dependent variable when the independent variable is zero, providing a starting point for the function.
Tags
CCSS.HSF.LE.B.5
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