What is a linear equation?
Linear Equations - Word Problems - mixed

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Mathematics
•
9th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
A linear equation is an equation that makes 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 y-intercept represent in a linear equation?
Back
The y-intercept is the point where the line crosses the y-axis. It represents the value of y when x is 0.
3.
FLASHCARD QUESTION
Front
In the equation y = mx + b, what does 'm' represent?
Back
In the equation y = mx + b, 'm' represents the slope of the line, which indicates the rate of change of y with respect to x.
4.
FLASHCARD QUESTION
Front
How do you find the total cost from a linear equation in a word problem?
Back
To find the total cost, substitute the value of x (the number of items or hours) into the equation and solve for y.
5.
FLASHCARD QUESTION
Front
If a rental cost is represented by the equation y = 120x + 250, what does the 250 represent?
Back
The 250 represents a fixed cost or initial fee that is charged regardless of the number of hours rented.
6.
FLASHCARD QUESTION
Front
Calculate the total cost if the equation is y = 2.50x + 225 and x = 400.
Back
y = 2.50(400) + 225 = 1000 + 225 = $1225.
7.
FLASHCARD QUESTION
Front
If Alan paid $790.00 for renting an event hall with the equation y = 120x + 250, how do you find the number of hours rented?
Back
Set the equation equal to 790: 790 = 120x + 250. Solve for x to find the number of hours.
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