4+ Terms: Mixed Review
Mathematics
Grade 8
13 questions
~26 mins
1 views0 downloads
About This Worksheet
A comprehensive worksheet focusing on collecting like terms with 4 or more terms, including procedural practice, problem solving, and extension questions for Grade 8 students.
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Full preview • 13 questions
4+ Terms: Mixed Review
Subject: MathematicsGrade: Grade 8
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Date:
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Untitled Worksheet
Grade Grade 8
A
Fluency & Practice
Simplify each expression by collecting like terms. Show your working.
1.
Simplify: 3x + 5x + 2x
[2 marks]2.
Simplify: 4a - 2a + 7a
[2 marks]3.
Simplify: 6m + 3n - 2m + 4n
[2 marks]4.
Simplify: 2x + 4x + 6x + 3x
[2 marks]B
Problem Solving & Reasoning
Solve the problems below. Show detailed working and reasoning.
1.
If you combine like terms in 8y + 3x - 2y + 4x, what is the simplified expression? Explain your steps.
[4 marks]2.
A rectangle's length is expressed as 5a + 2b, and its width as 3a + 4b. Write an expression for the perimeter and simplify by collecting like terms.
[4 marks]C
Real-world Applications
Apply your skills to real-world scenarios involving algebraic expressions with 4+ terms.
1.
A gardener is planting flowers. The number of roses is represented as 2x + 3y, and tulips as 4x + y. Write an expression for total flowers and simplify.
[3 marks]D
Challenge & Extension
Tackle these more challenging problems involving four or more like terms.
1.
Expand and simplify: (x + 2y + 3z) + (4x - y + 2z) + (x + y + z)
[4 marks]2.
Simplify: 7a + 3b - 2a + 5b + 4a - 3b + 2a
[3 marks]E
Mixed Review
Answer the following variety of questions on collecting like terms with 4+ terms.
1.
Combine and simplify: 2x + 3x + 4x + 5x + 6x
[2 marks]2.
Express as simplified form: 9m - 4n + 3m + 2n - m
[2 marks]F
Error Analysis
Identify and correct the mistake in the student's solution.
1.
Student's work: 5a + 3a + 2a = 10a. Is this correct? If not, what should be the correct answer?
[2 marks]2.
A student simplifies 4x + 2y + 4x - y as 8x + y. Identify the mistake and give the correct simplification.
[3 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