All topics · Chapter 6

Algebraic Expressions

13 exam-style questions at four levels. Type your working one line at a time and it is marked line by line — method marks and accuracy marks, like the ECZ scheme.

Foundation5 questions

Simplify 5x + 3y − 2x + 7y.

ECZ Paper 1 · 2 marks · Foundation level

Expand 3(2x + 5).

ECZ Paper 1 · 2 marks · Foundation level

Expand −2(x − 4).

ECZ Paper 1 · 2 marks · Foundation level

Factorise 8x + 12.

ECZ Paper 1 · 2 marks · Foundation level

Factorise x² − 25.

ECZ Paper 1 · 2 marks · Foundation level

Application4 questions

Expand and simplify (x + 3)(x + 5).

ECZ Paper 1 · 3 marks · Application level

Expand and simplify (2x − 1)(x + 4).

ECZ Paper 1 · 3 marks · Application level

Factorise x² + 7x + 10.

ECZ Paper 1 · 2 marks · Application level

Expand and simplify 2(3x − 4) + 3(x − 5).

ECZ Paper 1 · 3 marks · Application level

Analysis2 questions

Factorise xy + 3x + 2y + 6.

ECZ Paper 2 · 4 marks · Analysis level

Simplify fully (x² − 9)/(x² + 5x + 6).

ECZ Paper 2 · 4 marks · Analysis level

Mastery2 questions

Expand and simplify (x + 2)² − (x − 2)².

ECZ Paper 2 · 4 marks · Mastery level

(a) Factorise x² − 9. (b) Simplify fully (x² − 9)/(2x² + 5x − 3). (c) Explain why x = −3 cannot be used in the original fraction, even though the answer to (b) works there.

ECZ Paper 2 · 6 marks · Mastery level

Working through the whole syllabus? The full topic list and our weekly revision routine put this chapter in context.