Year 8 Substitution Worksheets
Direct Proportion B
Equations of Proportion - with Three Variables
Inverse Proportion
Substituting into Expressions (A)
Substituting into Expressions (B)
Substituting into Expressions (C)
Substituting into Expressions using Negative Numbers
Substituting into Formulae (A) (With Clues)
Substituting into Formulae (A) Word Problems
Substituting into Formulae (B)
Substituting into Quadratic Expressions
Substitution - Using Algebra Tiles
Substitution Builder (A)
Substitution Builder (B)
Substitution Builder (C)
Substitution Magic Squares
Writing Formulae
How Year 8 Substitution Worksheets Improve Accuracy and Method
A consistent routine helps minimise errors: identify the structure, substitute correctly, simplify in the correct order, and verify the result. The resources confirm this pattern through expressions and common formulae and quadratic terms without any redundant information. The brief prompts direct the focus toward sign handling, indices and units while keeping an organised recording system. Students select more precise steps in their work and provide brief explanations for their mathematical reasoning.
Specific learning benefits include:
• Evaluates expressions reliably, including negatives and integer powers
• Applies substitution within standard formulae and rearranged forms
• Interprets numerical results with units and context
• Chooses efficient simplification steps and checks reasonableness
• Links structured tables/tiles to tidy algebraic notation
• Builds durable routines for classwork, homework, and catch-up
What the Year 8 Substitution Set Covers: Expressions to Formulae
Learners move from concrete and pictorial prompts to abstract notation. They begin with guided tables and visual cues, then progress to written expressions and real-life formulas, finishing with challenges that include powers and quadratic terms. Worked solutions model layout and reasoning, allowing pupils to compare their method with a clear exemplar.
The worksheets in this collection include:
• Substituting into Expressions — Evaluate simple expressions step by step.
• Substituting into Expressions using Negative Numbers — Manage signs and brackets accurately.
• Substituting into Formulae (With Clues) — Use hints to place values in the correct positions.
• Substituting into Formulae: Word Problems — Extract data and substitute in context.
• Substitution – Using Algebra Tiles — Link tile models to numerical evaluation rules.
• Substitution Builder (A) — Practise graduated tasks to establish fluency.
• Substitution Magic Squares — Complete grids through consistent substitution strategies.
• Substituting into Quadratic Expressions — Substitute into ax2+bx+c and simplify cleanly.
• Writing Formulae — Form and use formulas from context before substituting.
Why Teachers Choose These Year 8 Substitution Sheets
Pages are classroom-ready: quick to start, simple to model, and straightforward to mark. The initial questions provide students with scaffolding tools, including tables and clues, but the following questions require students to work independently by substituting answers, simplifying them neatly and providing brief explanations. The use of one sheet allows teachers to support students with different abilities through the content depth rather than creating different versions of the sheet. The print-friendly layouts help students save time, and the answer sheets display the worked steps instead of just final numbers, which supports modelling, self-marking and consistent feedback.
Everyday Uses of Substitution for Year 8 Learners
Substitution turns general rules into useful numbers for real decisions and checks.
• Comparing phone tariffs by substituting usage into cost formulas
• Scaling recipes or materials via proportional relationships
• Checking science or DT calculations (e.g., F=ma, V=IR) with correct units
• Converting temperatures or measures using standard formulae
• Forecasting savings by plugging values into simple growth rules