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Chapter 4 of 5
Concept Maps

Simple Equations — Concept Maps

Gujarat Board · Class 7 · Mathematics

3 concept maps of Simple Equations for Gujarat Board Class 7 Mathematics, each also written out as a text outline.

45 questions5 concepts

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3 Concept Maps

Simple Equations – Complete Chapter Overview

Simple Equations – Complete Chapter Overview

The map in words

  • Simple Equations
    • What is an Equation
      • Has equality sign
      • LHS equals RHS
      • Contains a variable
      • Expression vs Equation
    • Key Terms
      • Variable
        • Unknown number
        • Represented by letters
      • Expression
        • Formed using operations
        • Example 4x plus 5
      • Solution
        • Value satisfying equation
        • Makes LHS equal RHS
    • Setting Up Equations
      • Identify unknown
      • Assign variable
      • Translate words to math
      • Number problems
      • Age problems
      • Geometry problems
    • Solving Methods
      • Balancing Method
        • Add same to both sides
        • Subtract same from both sides
        • Multiply both sides
        • Divide both sides
      • Transposing
        • Move term to other side
        • Sign changes
        • Plus becomes minus
        • Minus becomes plus
    • Types of Equations
      • One step
        • x plus a equals b
        • ax equals b
        • x divided by a equals b
      • Two step
        • ax plus b equals c
        • ax minus b equals c
      • With brackets
        • a times bracket x plus b bracket equals c
    • Verification
      • Substitute solution
      • Check LHS equals RHS
      • Confirm with problem context

Simple Equations - Concept Overview

Simple Equations - Concept Overview

The map in words

  • Simple Equations
    • Definition
      • Equality sign present
      • Two expressions equal
      • Contains variable
    • Components
      • Variable - unknown value
      • Expression - operations on variables
      • LHS and RHS sides
      • Solution - satisfying value
    • Solving Methods
      • Balance Principle
        • Same operations both sides
        • Maintain equality
      • Transposition
        • Move terms with sign change
        • Faster shortcut method
      • Step-by-step approach
        • Isolate variable
        • One operation at a time
    • Applications
      • Word problems
      • Real-world situations
      • Geometry problems
      • Age and distance problems

Simple Equations – Complete Concept Map

Simple Equations – Complete Concept Map

The map in words

  • Simple Equations
    • Variables
      • Unknown quantity
      • Represented by letters
      • Examples x y m n
    • Expressions
      • Formed using operations
      • Value changes with variable
      • Example 4x plus 5
    • Equation
      • Has equality sign
      • LHS equals RHS
      • At least one variable
      • Condition on variable
    • Solution
      • Value satisfying equation
      • Makes LHS equal RHS
      • Only one solution
    • Methods to Solve
      • Trial and Error
        • Try values one by one
        • Check LHS equals RHS
      • Balancing Method
        • Same operation both sides
        • Isolate the variable
      • Transposition
        • Move term to other side
        • Sign changes
    • Applications
      • Number problems
      • Age problems
      • Geometry angles
      • Real life word problems

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Frequently Asked Questions

What are the important topics in Simple Equations for Gujarat Board Class 7 Mathematics?
Key topics in Simple Equations include Key Concepts: Variables, Expressions, and Equations, Setting Up Equations from Statements, Solving Equations: The Balancing Method, Transposing: The Shortcut Method. Study these first, then practise questions on each for Class 7 exams.
What do the concept maps for Simple Equations show?
The 3 maps show how the ideas in Simple Equations connect: Simple Equations – Complete Chapter Overview; Simple Equations - Concept Overview. Each map is also written out as an outline on this page.
How should I revise Simple Equations for Class 7 exams?
Learn the core ideas first, then work through the 45 practice questions on Simple Equations. Revise definitions regularly and use flashcards for quick recall before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.

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