Grade 9 Algebraic Modeling Worksheet
This worksheet focuses on developing algebraic models from real-world scenarios, solving linear equations, and interpreting graphical representations for Grade 9 Math students.
Includes
Standards
Algebraic Modeling Practice
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Date:
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Read each question carefully and follow the instructions. Show all your work for full credit.
1. A car rental company charges a flat fee of $45 per day plus $0.20 per mile driven. Write an algebraic equation that models the total cost (C) of renting a car for one day based on the number of miles (m) driven.
2. In the equation y = 3x + 7, the variable 'y' represents the , 'x' represents the , '3' represents the , and '7' represents the .
3. Which of the following equations best models the cost of a phone plan that charges a $20 monthly fee plus $0.05 per text message (t)?
C = 0.05t - 20
C = 20t + 0.05
C = 0.05t + 20
C = 20 - 0.05t
4. Using the car rental equation from Question 1 (C = 0.20m + 45), calculate the total cost if you drive 150 miles.
5. A linear model always represents a proportional relationship.
True
False
6. Plot the equation y = 2x - 1 on the coordinate plane below.
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