3.4-3.5 Slope and Unit Rate

Flashcard
•
Mathematics
•
8th Grade
•
Hard
+4
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of slope in mathematics?
Back
Slope is a measure of the steepness or incline of a line, calculated as the ratio of the vertical change (rise) to the horizontal change (run) between two points on the line.
Tags
CCSS.8.EE.B.5
2.
FLASHCARD QUESTION
Front
How do you calculate the slope between two points (x1, y1) and (x2, y2)?
Back
Slope (m) = (y2 - y1) / (x2 - x1)
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What does a positive slope indicate about a line?
Back
A positive slope indicates that as the x-value increases, the y-value also increases, meaning the line rises from left to right.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
What does a negative slope indicate about a line?
Back
A negative slope indicates that as the x-value increases, the y-value decreases, meaning the line falls from left to right.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
What is the unit rate?
Back
The unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per 1'.
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
6.
FLASHCARD QUESTION
Front
If a car travels 300 miles using 10 gallons of gas, what is the unit rate of miles per gallon?
Back
Unit rate = 300 miles / 10 gallons = 30 miles per gallon.
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
7.
FLASHCARD QUESTION
Front
What does an undefined slope represent?
Back
An undefined slope represents a vertical line where the change in x is zero, making the slope calculation impossible.
Tags
CCSS.8.EE.B.5
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