Write A Linear Function Word Problems Worksheet

Algebra 1
Linear Relationship

Total questions - 6

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How Will This Worksheet on "Write a Linear Function Word Problems" Benefit Your Student's Learning?

  • Shows how linear functions apply to everyday situations.
  • They learn to analyze and understand the information given.
  • Writing and solving these problems strengthen key ideas like slope and intercept.
  • Solving problems well builds their mathematical self-confidence.
  • It helps them become better at solving linear equations.

How to Write a Linear Function Word Problems?

  • Decide what your variables will represent, such as hours worked for \( x \) and total money earned for \( y \).
  • Understand how the variables are related using a simple linear equation \( y = mx + b \), where \( m \) is the rate of change and \( b \) is the starting value.

Solved Example

Q. Larry is on his school's cross-country team. He runs 88 miles during each practice. Write an equation that shows the relationship between the number of practices Larry attends, xx, and the total number of miles he runs, yy.
Solution:
  1. Identify values: Identify the given values. Larry runs 88 miles per practice. Number of practices: xx \newlineTotal miles run: yy
  2. Write equation: Write the equation for total miles run. \newlineTotal miles = Miles per practice×Number of practices\text{Miles per practice} \times \text{Number of practices} \newliney=8xy = 8x
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About Worksheet

Algebra 1
Linear Relationship

It involves describing a real-life situation where there is a constant rate of change. It requires identifying variables, setting up a linear equation in the form \( y = mx + b \) (where \( m \) is the slope and \( b \) is the `y`-intercept), and then solving for unknowns. These problems can include scenarios like calculating total cost given a fixed fee and a variable charge per unit, or predicting distance over time at a constant speed.

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