Step-by-step Approach: Real-world Applications
Mathematics
Grade 8
12 questions
~24 mins
1 views0 downloads
About This Worksheet
This worksheet focuses on using a step-by-step approach to expand triple brackets, with real-world shopping and money scenarios to enhance understanding.
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Step-by-step Approach: Real-world Applications
Subject: MathematicsGrade: Grade 8
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Untitled Worksheet
Grade Grade 8
A
Introduction
Review the formula for expanding triple brackets: (a + b + c)^3. Use a step-by-step method to expand and simplify the expressions, applying distributive laws carefully.
B
Fluency & Practice
Answer the following questions to build procedural mastery. Show all working in the grid spaces provided.
1.
Expand (x + 3 + y)^3 using the step-by-step approach.
[3 marks]2.
Expand (2 + a + b)^3 step-by-step and simplify.
[3 marks]3.
Calculate (x + 1 + y)^3 expanded fully.
[2 marks]4.
Expand (a + 2 + b)^3 step-by-step and list intermediate terms.
[4 marks]C
Problem Solving & Reasoning
Solve multi-step algebraic expansion problems in real-world contexts. Show your detailed working.
1.
A shop offers a deal where the total cost for buying (x + 2 + y) items is represented by the expression (x + 2 + y)^3. Expand this expression to find the total cost formula.
[4 marks]2.
A customer buys 3 items, each priced with an expression (a + 1 + b). Expand the total cost for the 3 items and simplify.
[4 marks]3.
Explain why expanding (x + 3 + y)^3 step-by-step helps in calculating total costs in a shopping scenario.
[3 marks]D
Challenge & Extension
Tackle these advanced problems involving algebraic expansion in realistic situations.
1.
A store combines three product prices as (x + y + z)^3. If x = 2, y = 3, and z = 4, expand and compute the total cost.
[3 marks]2.
Derive the expanded form of (a + 2 + b)^3 and explain each step, emphasizing error-prone parts.
[4 marks]E
Mixed Review
Attempt a variety of questions to reinforce your understanding of the step-by-step expansion method.
1.
Expand (x + y + 1)^3 and list all terms.
[3 marks]2.
Construct a shopping list with total cost expression (a + 1 + b)^3, and expand.
[4 marks]F
Error Analysis
Identify the mistake in the following expansion and correct it.
1.
A student expanded (x + 2 + y)^3 as x^3 + 6x^2 + 12x + 8 + 3x y + y^3 + 6 y + 8. Find and fix the errors.
[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