NavGanitMateby NavGreen Compute, AustraliaBased on Australian Curriculum: Mathematics v9.0

Year 8 Exploring linear functions practice

Choose from 25 available worksheets below. Try an answer first, use an optional hint if needed, then compare your reasoning with the worked solution.

Understand the topic

A linear function can be written as y = mx + b. The coefficient m describes the change in y for each increase of 1 in x; b is the value of y when x = 0.

Worked example

For y = 2x + 3, substituting x = 0, 1 and 2 gives y = 3, 5 and 7. The points (0, 3), (1, 5) and (2, 7) lie on the same straight line.

Common mistake to avoid

Keep the order of coordinates as (x, y). The intercept b is a y-value, whereas m describes a rate of change.

Available worksheets

Recorded curriculum references: AC9M8A04, VC2M8A05. Individual worksheets retain their curriculum details.

For related topics, return to Year 8 maths.