Linear equation word problems

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•
Mathematics
•
9th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation that represents 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 value of y when x is 0. It represents the starting point or initial value in a real-world context.
3.
FLASHCARD QUESTION
Front
How do you interpret the slope in a linear equation?
Back
The slope (m) represents the rate of change of y with respect to x. It indicates how much y increases or decreases for each unit increase in x.
4.
FLASHCARD QUESTION
Front
What is the equation for the total cost of a service with a fixed fee and a variable cost?
Back
The equation is y = mx + b, where y is the total cost, m is the variable cost per unit, x is the number of units, and b is the fixed fee.
5.
FLASHCARD QUESTION
Front
If a T-shirt design company charges $25 plus $8 per shirt, what is the equation for the total cost?
Back
y = 8x + 25, where y is the total cost and x is the number of shirts.
6.
FLASHCARD QUESTION
Front
How do you find the number of hours for which two services cost the same?
Back
Set the equations for both services equal to each other and solve for the variable representing time.
7.
FLASHCARD QUESTION
Front
What is the equation for a holiday meal cost with a delivery fee?
Back
y = 12.50x + 30, where y is the total cost, x is the number of people, and 30 is the delivery fee.
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