2-3 Terms: Real-world Applications
Mathematics
Grade 6
17 questions
~34 mins
1 views0 downloads
About This Worksheet
A worksheet focused on collecting like terms with 2-3 terms, including real-world applications and reasoning questions to enhance understanding.
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2-3 Terms: Real-world Applications
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Simplify the expression: 3a + 2a + 4b.
[2 marks]2.
Combine like terms in: 5x - 2x + 3y.
[2 marks]3.
If you have 4 apples and receive 3 more apples, express the total apples using an algebraic expression and simplify.
[3 marks]4.
Calculate: 6m - 2m + 3n.
[3 marks]B
Fluency & Practice
Answer all questions by combining like terms carefully.
1.
Simplify: 2p + p + 5q.
[2 marks]2.
Combine like terms: -3x + 4x - 2y.
[2 marks]3.
Simplify: 7a - 3a + 2b.
[2 marks]4.
Express and simplify: 3x + 2x + 4y - y.
[2 marks]C
Problem Solving & Reasoning
Solve the problems step-by-step and explain your reasoning.
1.
Sarah has 2x apples and buys 3x more. Write an expression for the total apples and simplify. How many apples does she have in terms of x?
[3 marks]2.
A rectangle has length 5a + 2, width 3a + 4. Write an expression for the perimeter and simplify.
[3 marks]D
Real-world Applications
Use algebraic expressions to solve these real-world problems.
1.
A gardener plants 2 rose bushes and 3 tulip bushes. Later, she plants 2 more rose bushes and 1 more tulip. Write expressions for the total number of each type of plant and simplify.
[3 marks]2.
A shop sells x pencils and y erasers. If they receive a shipment of 5x pencils and 3y erasers, write and simplify the total items received.
[3 marks]E
Challenge & Extension
Tackle these advanced problems involving 2-3 terms.
1.
Express the sum of: 4a + 2b - 3a + 5b. Simplify and explain any steps.
[3 marks]2.
If 2x + 3y = 10 and 4x - y = 8, find the value of 3x + 2y by solving the system and then substituting back. Show your steps.
[4 marks]F
Mixed Review
Answer a variety of questions involving 2-3 terms.
1.
Simplify: -5m + 2m - 4n.
[2 marks]2.
Write an expression for the total cost if each item costs x dollars and you buy 3 of one item and 2 of another. Simplify.
[3 marks]G
Error Analysis
Identify the mistake in the following and correct it.
1.
Student simplified 4a + 3b + 2a as 5a + 3b. What is the mistake? Correct the expression.
[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.
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet