Level 1: Core Concepts Check (Aiming for a Pass - 'S')

1. Define: What is the first step you must always take before finding the LCM of algebraic expressions?

2. List: Find the factors of x2−9.

3. Identify: What is the LCM of and 4xy?

4. Calculate: Find the LCM of 2(x+1) and 3(x+1)2.

5. Calculate: Find the LCM of (a−b) and (b−a).

Level 2: Connecting the Dots (Aiming for a Credit - 'C'/'B')

1. Explain: Describe the process to find the LCM of x2+5x+6 and x2−4.

2. Apply: Find the LCM of 3x−9, 4x(x−3), and (x2−9).

3. Problem-Solve: Find the LCM of m2−5m+6 and m2−2m−3.

Level 3: Exam Challenge (Aiming for a Distinction - 'A')

Multi-step Problem: Find the LCM of the following three algebraic expressions:

(i) 2x2−8

(ii) x2−x−6

(iii) x2−4x+4