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.

Grade 9 Math AlgebraAlgebraic Modeling

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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.HSA.CED.A.1CCSS.MATH.CONTENT.HSA.REI.B.3

8 sections · Free to use · Printable

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Algebraic Modeling Practice

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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.