Slope intercept from word problems

Flashcard
•
Mathematics
•
8th - 9th Grade
•
Hard
+5
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form of a linear equation is given by y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
2.
FLASHCARD QUESTION
Front
How do you identify the slope in a word problem involving a linear equation?
Back
The slope represents the rate of change in the context of the problem, often described as 'per unit' (e.g., dollars per hour, feet per minute).
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What does the y-intercept represent in a real-world scenario?
Back
The y-intercept represents the starting value or initial condition before any changes occur, such as fixed costs or initial amounts.
Tags
CCSS.HSF.LE.B.5
4.
FLASHCARD QUESTION
Front
In the equation y = 30x + 20, what do the numbers 30 and 20 represent?
Back
In this equation, 30 is the slope (cost per hour), and 20 is the y-intercept (initial transportation fee).
Tags
CCSS.HSF.LE.B.5
5.
FLASHCARD QUESTION
Front
How can you derive a linear equation from a word problem?
Back
Identify the fixed costs (y-intercept) and the variable costs (slope), then express the relationship in the form y = mx + b.
6.
FLASHCARD QUESTION
Front
What is the significance of a negative slope in a word problem?
Back
A negative slope indicates a decrease in value over time or with each unit, such as spending money or losing height.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
How do you interpret the equation y = -3x + 20 in a real-world context?
Back
This equation indicates that Sandra starts with $20 and spends $3 each month, decreasing her balance over time.
Tags
CCSS.HSF.LE.B.5
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