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Linear Modelling Worksheets

Free printable linear modelling worksheets with step-by-step answer keys. Every worksheet is uniquely generated so students never see the same problems twice. Topics covered range from evaluate cost = base + rate Γ— distance at the easy level through to find break-even point for two linear plans at the advanced level.

CCSS.8.FLK20.10

Difficulty Levels

Beginner

Concepts
Evaluate cost = base + rate Γ— distance
Number Range
base: 30–60, rate: 10–20, distance: 2–6
Steps
2 steps
Example
Taxi: 40 base + 15/km, cost for 3 km?

Easy

Concepts
Write a linear formula from a scenario
Number Range
base: 30–60, rate: 10–20
Steps
2 steps
Example
Base 50 + 10/km β†’ C = 50 + 10d

Medium

Concepts
Solve linear equation for time given target
Number Range
start: 18–24, drop: 1–3, target varies
Steps
2 steps
Example
Temp starts 20, drops 2/hr, when is it 10?

Hard

Concepts
Find break-even point for two linear plans
Number Range
bases: 50–300, rates: 3–8
Steps
2 steps
Example
A: 200 + 5x vs B: 100 + 8x, when equal?

Grade Availability

Linear Modelling worksheets are available for Grades 8–10. Problems are automatically adjusted to match grade-level expectations in number range, complexity, and notation.

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