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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 examples of linear functions and how to describe a linear function using a linear equation.

Linear Functions

A linear function is a function that represents a relationship between two variables where the rate of change is constant. The graph of a linear function is always a straight line.

General Form of a Linear Function:

𝑓(𝑥)= 𝑚𝑥 + 𝑏

Where:

𝑓(𝑥) is the output (dependent variable, often referred to as 𝑦),

𝑥 is the input (independent variable),

𝑚 is the slope of the line (which represents the rate of change),

𝑏 is the y-intercept (the value of 𝑓(𝑥) when 𝑥 = 0).

Key Characteristics of Linear Functions:

- Constant Rate of Change (Slope 𝑚): The slope 𝑚 measures how much 𝑦 changes for a given change in 𝑥. If 𝑚 is positive, the function increases; if 𝑚 is negative, the function decreases.
- Y-intercept (𝑏): The y-intercept is the point where the line crosses the y-axis (𝑥 = 0).
- Graph: The graph of a linear function is always a straight line. Depending on the value of 𝑚, it can be upward sloping (positive slope), downward sloping (negative slope), or horizontal (zero slope).

Linear Equations

A linear function can be described using a linear equation, which represents a straight-line relationship between two variables. The equation that typically describes a linear function is written in the slope-intercept form:

𝑦 = 𝑚𝑥 + 𝑏

In this equation:

𝑦 is the output or dependent variable (the function value, often written as 𝑓(𝑥)),

𝑥 is the input or independent variable,

𝑚 is the slope of the line, which represents the constant rate of change,

𝑏 is the y-intercept, the point where the line crosses the y-axis (the value of 𝑦 when 𝑥 = 0).

Have a look at this video if you need to review discrete and non-discrete functions.

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

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

**Printable**

(Answers on the second page.)

Linear Functions & Equations Worksheet #1

Linear Functions & Equations Worksheet #2

Linear Functions & Equations Worksheet #3

Linear Functions & Equations Worksheet #4

Graphs of Functions & Equations

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