Algebra 1

3 marks · Hard

Below is an algebraic expression:

Explain step by step how to simplify this expression, and give the final answer.

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

4k^2 + 4k + 6

Also accept: 4k^2+4k+6; 6 + 4k + 4k^2

Common mistakes: Incorrect identification of like terms; Not simplifying negative terms correctly

Show mark scheme and worked solution

Marking points

M1 · 1 mark · Correctly identifies all groups of like terms (k^2 terms, k terms, and constants).

M2 · 1 mark · Shows correct intermediate collection for each group. (follow-through)

A1 · 1 mark · Gives the fully simplified expression: . (follow-through)

Worked solution

First, group like terms together:

Add up all the like terms to give the final expression: