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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 understand how linear functions and proportionality are related. Solve word problems involving linear functions.

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.

Click on the following worksheet to get a printable pdf document.

Scroll down the page for more **Linear Functions & Proportionality Worksheets**.

**Printable**

(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

Linear Function & Proportionality

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