Quadratic Expressions — Year 9 Practice Questions
Work through these Year 9 practice questions on quadratic expressions. Try each one before revealing the worked solution.
Questions
Expand (x + 2)(x + 5).
Expand (x + 4)(x − 3).
Expand (x − 2)(x − 6).
Expand (x + 5)².
Factorise x² + 7x + 10.
Factorise x² + 8x + 15.
Factorise x² − 5x + 6.
Factorise x² + 2x − 8.
Answers & Worked Solutions
Question 1 Solution
Step 1: Multiply all pairs: x² + 5x + 2x + 10.
Step 2: Collect: x² + 7x + 10.
Answer: x² + 7x + 10
Question 2 Solution
Step 1: x² − 3x + 4x − 12.
Step 2: Collect: x² + x − 12.
Answer: x² + x − 12
Question 3 Solution
Step 1: x² − 6x − 2x + 12.
Step 2: Collect: x² − 8x + 12.
Answer: x² − 8x + 12
Question 4 Solution
Step 1: (x + 5)(x + 5) = x² + 5x + 5x + 25.
Step 2: Collect: x² + 10x + 25.
Answer: x² + 10x + 25
Question 5 Solution
Step 1: Find two numbers multiplying to 10 and adding to 7: 2 and 5.
Step 2: So x² + 7x + 10 = (x + 2)(x + 5).
Answer: (x + 2)(x + 5)
Question 6 Solution
Step 1: Two numbers multiplying to 15 and adding to 8: 3 and 5.
Step 2: So (x + 3)(x + 5).
Answer: (x + 3)(x + 5)
Question 7 Solution
Step 1: Two numbers multiplying to 6 and adding to −5: −2 and −3.
Step 2: So (x − 2)(x − 3).
Answer: (x − 2)(x − 3)
Question 8 Solution
Step 1: Two numbers multiplying to −8 and adding to 2: 4 and −2.
Step 2: So (x + 4)(x − 2).
Answer: (x + 4)(x − 2)
Build strong foundations in Quadratic Expressions
A free trial class with Teacher Rig helps your Year 9 child master Quadratic Expressions now — so IGCSE Maths feels familiar, not frightening, later.
Heading toward IGCSE? See how Quadratic Expressions develops in IGCSE Algebra and Graphs (Cambridge 0580) →