Equation: Definition, Types, Examples, Differences

Do you ever wonder how to find a missing number in math problems? That’s where equations come in! But first, let's answer a big question—what is equation? An equation is like a mini math puzzle that tells us two sides are equal using an "=" sign. In this blog, we will explore the equation definition, learn about different types of equation, practice some fun equation examples, and even try out simple maths equation tricks using an equation formula. Get ready to become an equation expert!

What are Equations? 

Equations are mathematical statements that assert the equality of two expressions. An equation is like a balance scale. When both sides are the same, it means we have an equation! It always has an equal sign (=) in the middle. For example, 2 + 3 = 5 is an equation because both sides are equal.

• In an equation, the left side is equal to the right side, which means both sides of the equation have the same value when solved. 

• It can be simple or complex, depending on the number of terms and the operations involved. 

• They serve as a fundamental tool in mathematics, helping to express and solve problems across various fields, including physics, engineering, economics, and computer science. 

Now you might wonder, what is equation used for? It helps us solve math problems and find missing numbers. Maths equation is used every day in school, shops, games, and even space rockets.

Also Check: Number Name 1 to 20

Why Learning Equations Is Important

Learning what is equation is like getting a superhero power!

You can:

• Solve puzzles

• Find answers faster

• Make better guesses

• Understand science

• Become a smart problem-solver

From equation examples to using an equation formula, you’re building a brain that loves to think

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Types of Equations

1. Linear Equations

• This kind of maths equation has no exponents, just simple math.

• These equations form straight lines when graphed and are generally represented as Ax + B = 0 , where A and B are constants, and x is the variable. 

• Linear equations are widely used to represent relationships where there is a constant rate of change or a direct proportionality between the variables. 

• Equation formula: ax + b = 0

• Equation examples: 2x + 3 = 0

2. Quadratic Equations

• A quadratic equation is a second-degree polynomial equation, meaning the highest power of the variable is two. 

• It has the general form Ax² + Bx + C = 0 , where A, B, and C are constants, and x is the variable. 

• Quadratic equations are used to model many real-world phenomena, such as projectile motion and optimization problems, and their graphs form a parabola. 

• Equation formula: ax² + bx + c = 0

• Equation examples: x² + 4x - 5 = 0

3. Cubic Equations

• A cubic equation is a third-degree polynomial equation, meaning the highest power of the variable is three. 

• It has the general form Ax³ + Bx² + Cx + D = 0 , where A, B, C, and D are constants. 

• Cubic equations are more complex than linear and quadratic equations.

• Equation formula: ax³ + bx² + cx + d = 0

• Equation examples: x³ - 6x² + 11x - 6 = 0

Also Check: Quadratic Equation

Equation Examples Made Simple

Here are some easy equation examples to help you practice:

1. x + 4 = 9 → x = 5
   
   

2. 3x = 15 → x = 5
   
   

3. x - 2 = 6 → x = 8
   
   

4. x ÷ 2 = 4 → x = 8
   
   

5. 2x + 1 = 7 → x = 3
   
   

These maths equation examples are fun puzzle games.

Equation vs Expression