linear relationships

Flashcard
•
Mathematics
•
7th - 8th Grade
•
Hard
+4
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear relationship?
Back
A linear relationship is a relationship between two variables that can be represented by a straight line on a graph. It can be described by a linear equation of the form y = mx + b, where m is the slope and b is the y-intercept.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
2.
FLASHCARD QUESTION
Front
What does the slope (m) represent in a linear equation?
Back
The slope (m) represents the rate of change of the dependent variable (y) with respect to the independent variable (x). It indicates how much y changes for a one-unit increase in x.
Tags
CCSS.8.EE.B.5
3.
FLASHCARD QUESTION
Front
What is the y-intercept (b) in a linear equation?
Back
The y-intercept (b) is the value of y when x is 0. It is the point where the line crosses the y-axis.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
4.
FLASHCARD QUESTION
Front
How do you write the equation of a linear relationship from a word problem?
Back
Identify the initial value (y-intercept) and the rate of change (slope) from the problem, then use the format y = mx + b to write the equation.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
5.
FLASHCARD QUESTION
Front
If a savings account starts with $500 and loses $20 per month, what is the equation for the savings after m months?
Back
s = -20m + 500.
Tags
CCSS.8.F.B.4
CCSS.HSF.LE.A.2
6.
FLASHCARD QUESTION
Front
What is the unit rate in a linear relationship?
Back
The unit rate is the slope of the line, representing how much one variable changes for a one-unit change in another variable.
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
7.
FLASHCARD QUESTION
Front
In the equation y = 3x + 5, what is the slope and y-intercept?
Back
The slope is 3 and the y-intercept is 5.
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
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