Linear Functions & Proportionality Worksheets

Printable “Function” worksheets:
What is a Function
Linear Function & Proportionality

Examples, solutions, videos, and worksheets to help Grade 7 and Grade 8 students understand how linear functions and proportionality are related. Solve word problems involving linear functions.

Linear Functions & Proportionality

Linear Functions
A linear function is a mathematical relationship between two variables that can be represented by a straight line on a graph. It is typically expressed in the form:
y = mx + b
Where:
m is the slope (rate of change) of the line.
b is the y-intercept (the point where the line crosses the y-axis).

Proportionality
Two quantities are proportional if their ratio remains constant. In other words, if one quantity increases or decreases by a certain factor, the other quantity will increase or decrease by the same factor.

Linear Functions and Proportionality
Linear functions represent proportional relationships when the y-intercept (b) is 0. In this case, the equation simplifies to:
y = mx
Where:
m is the constant of proportionality.

This means that for every unit increase in x, y increases by m units. This constant rate of change is the essence of proportionality.

Have a look at this video if you need to review Linear Functions and Proportionality.

• Linear Functions and Proportionality

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

 

More Linear Functions & Proportionality Worksheets

Printable
(Answers on the second page.)
Linear Function & Proportionality Worksheet #1
Linear Function & Proportionality Worksheet #2
Linear Function & Proportionality Worksheet #3
Linear Function & Proportionality Worksheet #4
Linear Function & Proportionality Worksheet #5
Linear Function & Proportionality Worksheet #6

Related Lessons & Worksheets

Linear Function & Proportionality
More Printable Worksheets

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.