Word Problems & Linear Equations Worksheets

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What is a Function
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Linear Functions & Equations
Word Problems & Linear Equations

Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 students learn how to graph a line specified by a linear function derived from a word problem. Graph a line specified by an initial value and a rate of change of a function and construct the linear function by interpreting the graph. Graph a line specified by two points of a linear relationship and provide the linear function.

How to solve Word Problems using Linear Equation Graphs?

Solving word problems that involve linear equations and graphs requires both translating the problem into an equation and interpreting the graph to find the solution.

Here’s a step-by-step approach to help you solve these types of problems:

1. Understand the Problem
   Carefully read the word problem and identify the key pieces of information:
   What is being asked?
   What are the given relationships (rates, costs, quantities, etc.)?
   
2. Identify Variables
   Define your variables to represent the unknown quantities in the problem:
   Let 𝑥 represent the independent variable (e.g., time, distance, number of items).
   Let 𝑦 represent the dependent variable (e.g., cost, height, total amount).
   
3. Set Up the Equation
   Translate the problem into a linear equation, usually in the slope-intercept form: 𝑦 = 𝑚𝑥 + 𝑏
   Where:
   𝑚 is the slope (rate of change),
   𝑏 is the y-intercept (the initial value when 𝑥 = 0).
   
4. Graph the Equation
   Plot the points based on the information in the problem and interpret the graph to find the solution.

Have a look at this video if you need to review how to graph a line to represent and solve a problem.

• Representation of a Line

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Word Problems & Linear Equations Worksheets.

 

More Word Problems & Linear Equations Worksheets

Printable
(Answers on the second page.)
Word Problems & Linear Equations Worksheet #1
Word Problems & Linear Equations Worksheet #2
Word Problems & Linear Equations Worksheet #3
Word Problems & Linear Equations Worksheet #4
Word Problems & Linear Equations Worksheet #5
Word Problems & Linear Equations Worksheet #6
Word Problems & Linear Equations Worksheet #7
Word Problems & Linear Equations Worksheet #8

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Representation of a Line
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