Algebra 1

4 marks · Hard

Expand and simplify the following expression:

Give your answer in the form .

Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.

Show answer

12x + 14

Also accept: 12x+14; 14 + 12x

Common mistakes: Not expanding brackets correctly (e.g., missing multiplying the constants); Not simplifying or collecting like terms at the end

Show mark scheme and worked solution

Marking points

M1 · 1 mark · Correctly multiplies out at least one bracket.

M2 · 1 mark · Expands both brackets fully.

A1 · 1 mark · Collects like terms accurately for the x terms. (follow-through)

A2 · 1 mark · Collects like terms accurately for the constant terms to give a final correct answer. (follow-through)

Worked solution

Expand each bracket separately:

Substitute back into the expression:

Collect like terms: