Writing Linear Equations from Word Problems
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the general form of a linear equation?
Back
The general form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
2.
FLASHCARD QUESTION
Front
What does the slope (m) represent in a linear equation?
Back
The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.
3.
FLASHCARD QUESTION
Front
How do you determine the y-intercept (b) in a linear equation?
Back
The y-intercept (b) is the value of y when x is 0, representing the point where the line crosses the y-axis.
4.
FLASHCARD QUESTION
Front
What is the slope-intercept form of a linear equation?
Back
The slope-intercept form of a linear equation is y = mx + b.
5.
FLASHCARD QUESTION
Front
In the equation y = 25x + 40, what do the numbers 25 and 40 represent?
Back
In the equation y = 25x + 40, 25 represents the slope (rate per hour), and 40 represents the y-intercept (fixed service fee).
6.
FLASHCARD QUESTION
Front
How can you write a linear equation from a word problem?
Back
To write a linear equation from a word problem, identify the variables, determine the rate of change (slope), and find the fixed amount (y-intercept).
7.
FLASHCARD QUESTION
Front
What is the equation for a plant growing at a rate of 3cm per month starting from 5cm?
Back
The equation is y = 3x + 5, where y is the height of the plant and x is the number of months.
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