Slope and Unit Rate - Georgia Milestone Review

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•
Mathematics
•
8th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the definition of unit rate?
Back
A unit rate is a comparison of two different quantities when they are combined together. It expresses how much of one quantity corresponds to one unit of another quantity.
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
2.
FLASHCARD QUESTION
Front
How do you calculate the unit rate?
Back
To calculate the unit rate, divide the total quantity of one item by the total quantity of another item. For example, if you have 40 dollars for 5 pounds of concrete, the unit rate is 40 ÷ 5 = 8 dollars per pound.
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
3.
FLASHCARD QUESTION
Front
What is the formula for slope?
Back
The formula for slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on a line.
Tags
CCSS.8.EE.B.5
4.
FLASHCARD QUESTION
Front
What does a slope of 6 mean in a real-world context?
Back
A slope of 6 means that for every 1 unit increase in the x-direction, the y-value increases by 6 units. For example, if it represents speed, it could mean 6 feet per minute.
Tags
CCSS.8.EE.B.5
5.
FLASHCARD QUESTION
Front
If a car travels 120 miles in 2 hours, what is the unit rate in miles per hour?
Back
The unit rate is 120 miles ÷ 2 hours = 60 miles per hour.
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
6.
FLASHCARD QUESTION
Front
What is the significance of the slope in a graph?
Back
The slope indicates the steepness of the line and the direction of the relationship between the two variables. A positive slope means the variables increase together, while a negative slope means one variable decreases as the other increases.
Tags
CCSS.8.EE.B.5
7.
FLASHCARD QUESTION
Front
If a person can do 30 sit-ups in 5 minutes, what is the unit rate of sit-ups per minute?
Back
The unit rate is 30 sit-ups ÷ 5 minutes = 6 sit-ups per minute.
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
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