Positive Coefficients: Challenge & Extension
Mathematics
Year 9
12 questions
~24 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on collecting like terms with positive coefficients, designed for challenge and extension for Year 9 students.
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Full preview • 12 questions
Positive Coefficients: Challenge & Extension
Subject: MathematicsGrade: Year 9
Name:
Date:
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Untitled Worksheet
Grade Year 9
A
Fluency & Practice
Answer all questions. Show your working in the grid spaces provided.
1.
Simplify the expression: 3x + 5x + 2x
[2 marks]2.
Combine like terms: 7a + 2b + 3a + 4b
[2 marks]3.
Simplify: 6m + 4n + 3m + n
[2 marks]B
Problem Solving & Reasoning
Answer all questions with full explanations where applicable.
1.
Explain how to combine the like terms 4x + 7x and 3x + 2x. What is the simplified expression?
[4 marks]2.
A student simplifies 2a + 4b + 3a + 2b. They get 5a + 6b. Is this correct? Explain your reasoning.
[4 marks]C
Real-world Applications
Solve the problems and show your working.
1.
A gardener plants 3x rows of roses and 2x rows of tulips. Write an algebraic expression for the total number of rows they plant, and simplify if possible.
[3 marks]D
Challenge & Extension
Attempt these challenging problems to extend your understanding.
1.
If 2x + 3x + 5x = 20, find the value of x and verify the solution by substituting back into the original expression.
[4 marks]2.
Construct an algebraic expression with positive coefficients that simplifies to 6x + 4y + 2z.
[3 marks]E
Mixed Review
Solve a variety of questions to review your understanding.
1.
Add: 9p + 4q + 2p + 3q + 5p
[2 marks]2.
Write an expression with positive coefficients only, which combines 5a + 3b and 2a + 4b.
[3 marks]F
Error Analysis
Identify and correct the mistakes in the following expressions.
1.
A student simplified 4x + 3x + 2x as 5x. Is this correct? If not, correct the mistake and explain.
[4 marks]2.
Identify the error: Simplify 7a + 2a + 4b as 9a + 4b. Is this correct? Why or why not?
[4 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet