Linear Functions & Proportionality Worksheets

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 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

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

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Linear Function & Proportionality
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