समीकरण, असमानता र ग्राफ

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Equation, Inequality and Graph

Grade 7 Interactive Mathematics Simulation

📖

Introduction

🧮

Linear Equations

📊

Graph Builder

📈

Coordinate Lab

📏

Number Line Lab

⚖️

Inequality Solver

🎮

Games

🧠

Quiz

💡

Real Life

🏆

Achievements

🎨

Whiteboard

📽️

Teacher Mode

📖 Introduction

📐 What is an Equation?

An equation is a mathematical statement that shows two expressions are equal using the '=' sign.

⚖️ What is an Inequality?

An inequality compares two expressions using >, <, ≥, ≤ signs.

📈 What is a Graph?

A graph is a visual representation of an equation or set of points on a coordinate plane.

🌍 Real-Life Examples

🥔🧅

Potato + Onion = 30 kg

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Length + Breadth = 22m

✏️

Pens equation

🧮 Linear Equations in Two Variables

A linear equation in two variables has the form ax + by = c.

🎛️ Equation Slider Lab

Select Equation:

Value of x: 0

x	y	(x, y)

📋 Value Table Builder

Enter x values to find y values.

x value:

x	y	Ordered Pair	Plot

📊 Interactive Graph Builder

✏️ Enter Equation

Format: ax + by = c

a (coeff of x)

b (coeff of y)

c (constant)

📋 Generated Table

x	y	Point

⚡ Quick Equations

📈 Coordinate Geometry Playground

📍 Plot Points

X:

Y:

🎯 Quadrant Finder

Enter a point to find its quadrant.

Q I
(+, +)

Q II
(-, +)

Q III
(-, -)

Q IV
(+, -)

📐 Distance Formula

x₁

y₁

x₂

y₂

Click on canvas to plot points

📏 Number Line Lab

⚙️ Configure

Variable: Inequality Type: Value:

⚡ Quick Examples

📚 Rules for Inequalities

➕ Add/subtract same number on both sides: inequality direction unchanged.

✖️ Multiply/divide by positive: inequality direction unchanged.

❗ Multiply/divide by negative: inequality direction reverses!

📊 Number Line Visualization

🎯 Identify Points

Click the number line to test values.

⚖️ Inequality Solver

✏️ Enter Inequality

a (coeff x)

x

Sign

b (constant)

📋 Chapter Examples

📈 Visual Solution

⚠️ Important Rules

✅ ax + b > c → ax > c - b → x > (c-b)/a

✅ ax + b < c → ax < c - b → x < (c-b)/a

❗ If a < 0, dividing reverses the sign!

🎮 Learning Games

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Game 1: Equation Hunter

Match equations to their graphs

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Game 2: Graph Match

Find the correct ordered pair

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Game 3: Number Line Challenge

Plot inequalities correctly

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Game 4: Inequality Race

Solve fast to win

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Game 5: Coordinate Treasure Hunt

Find hidden treasure using coordinates

🏅 Score: 0

🧠 Quiz Arena

Q 0/10 Score: 0 Level: -

Choose a level above to start the quiz!

🎯

💡 Real Life Problems

🏆 Achievement Center

Total Points: 0

🎨 Virtual Whiteboard

✏️

🖍️

🧹

📏

⬜

⭕

Size:

📽️ Teacher Mode

🎛️ Presentation Controls

📊 Progress Tracker

Equations Studied

Graph Builder Used

Quiz Completed

Inequality Solved