Word Problems & Linear Equations Worksheets

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Printable “Function” worksheets:
What is a Function
Linear Function & Proportionality
Discrete & Non-Discrete Functions
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:

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.)?
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).
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).
Graph the Equation
Plot the points based on the information in the problem and interpret the graph to find the solution.