What is a linear equation?
Modeling Linear Equations

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•
Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear equation is an equation that models a straight line when graphed. It can be written in the form 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 the dependent variable (y) with respect to the independent variable (x). It indicates how steep the line is.
3.
FLASHCARD QUESTION
Front
What does the y-intercept (b) represent 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.
4.
FLASHCARD QUESTION
Front
Write the equation for the total cost (c) of renting a golf club and hitting b buckets of golf balls, given the costs are $4 and $2.75 per bucket.
Back
c = 2.75b + 4
5.
FLASHCARD QUESTION
Front
If d = 125 + 80n, what does the number 125 represent?
Back
The number 125 represents the initial amount of money in the register before any tickets are sold.
6.
FLASHCARD QUESTION
Front
Write the equation representing Penelope's total spending at the carnival if she spends $35, with a $20 entry fee and $0.50 per ride ticket.
Back
0.50x + 20 = 35
7.
FLASHCARD QUESTION
Front
What is the total cost equation for an electrician charging $90 per hour plus a $50 travelling fee?
Back
y = 90x + 50
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