Try question 1
Simplifying Algebra · Calculator allowed · 1 marks
Simplify 3 × g × 5
Show answer and working for question 1
- Multiply the numbers together: 3 × 5 = 15.
- 3 × g × 5 = 15g.
Answer: 15g
GCSE algebra practice and starter worksheets
Work from collecting like terms to solving equations and factorising. These original GCSE-style examples let you check the method before moving into a longer topic workout.
No account or email needed. Grade labels guide practice; they do not predict an exam result.
A useful approach
- Collect terms only when their letter parts match. Keep the sign attached to each term.
- When solving an equation, apply the same operation to both sides and show each step.
- Substitute your solution into the original equation. Check factorisation by expanding the brackets again.
A mistake to watch for
An expression and an equation are different tasks. Simplify an expression; solve an equation for the unknown. A squared term cannot be combined with an ordinary linear term.
Try question 2
Solving Equations · Calculator allowed · 2 marks
Solve 5x − 7 = 23
Show answer and working for question 2
- Add 7 to both sides: 5x = 30
- Divide both sides by 5: x = 6
Answer: x = 6
Try question 3
Expanding and Factorising · No calculator · 4 marks
- Solve 2x + 35 = 3
- Factorise x2 + 8x + 15
Show answer and working for question 3
- a) Multiply both sides by 5: 2x + 3 = 15
- Subtract 3: 2x = 12, so x = 6
- Check: 12 + 35 = 3
- b) Find two numbers with product 15 and sum 8: they are 3 and 5
- x^2 + 8x + 15 = (x + 3)(x + 5)
Answer: (a) x = 6 (b) (x + 3)(x + 5)
Practise a specific topic
- Simplifying Algebra — Foundation workout
- Solving Equations — Foundation workout · Higher workout
- Expanding and Factorising — Foundation workout · Higher workout
Choose your tier before starting. The workouts offer marked practice; these page examples do not change your saved results.
Use this as a classroom starter
Ask pupils to compare a simplified expression with a solved equation. Use a substitution check as a discussion prompt before showing the worked solution.
The worksheet builder lets you choose 5 or 10 questions and replace individual questions. Download a compact starter or a full worksheet; worked solutions start on separate pages.