Chain Reaction – Level 1 – Hard

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Each answer you find is used inside the next question. Work through the full chain carefully – if you get one wrong, it affects the rest!

Read more about how to solve these puzzles here

1) Solve: (x + 2)² – (x – 3)(x + 1) = 25

A =

2) Use your answer from Q1 as “a”. Now solve: (x + a)(x – 2) = (x – 2)(x + a) – x² + 25

B =

3) Use your answer from Q2 as “b”. Find the coefficient of x in the expression: (x + b)(x + 3)

C =

4) Use your answer from Q3 as “c”. Now solve: x² – cx + 28 = x² – 7x + 24

D =

5) Use your answer from Q4 as “d”. Factorise: x² – dx + 20 – 5x

E =

Additional instructions for Chain Reaction (Level 1, Hard)

Chain Reaction – Hard

Back-check as you go: if the chain suddenly becomes messy, it’s usually a sign error upstream.

Re-check the most recent step that involved brackets or negatives.
Confirm you substituted the right labelled value (a into the “a” step, b into the “b” step, etc.).
If a step was “coefficient/constant”, confirm you extracted the correct part after simplifying.

Hard tip: one quick verification per step saves a full restart later.

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