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What is the difference between an equation and an expression?
The key difference is that an equation contains an equal sign ("="), whereas an expression does not. An equation asserts that two expressions are equal, and the goal is to find the value(s) that make this true. An expression is simply a mathematical combination of numbers, variables, and operations, without any assertion of equality.
What is a system of equations?
A system of equations is a set of two or more equations with the same variables. The solution to a system is the set of values that satisfy all equations simultaneously. Systems can be solved using methods such as substitution, elimination, or graphing.
What is the general form of a linear equation?
The general form of a linear equation in one variable is ax + b = 0, where a ≠ 0, and x represents the variable.
What is an equation?
An equation is a mathematical statement where two expressions are set equal to each other using the "equal to" symbol. For example, in the equation 3x + 5 = 15, both sides of the equation have equal values.
What are basic equations?
Basic equations involve two quantities separated by an equal sign, showing that they are equal but expressed differently (e.g., 2 + 2 = 4). An algebraic equation, however, contains at least one unknown variable (e.g., 2 + y = 4).
Equation is a mathematical expression showing equality. Discover the different types, such as linear, quadratic, and more, and learn the key differences between them in this detailed guide.
Shruti Dutta4 Jul, 2025
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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.
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
Types of Equations
Equations in mathematics can be classified based on their degree, which refers to the highest power of the variable present in the equation. Based on the degree, there are three main 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.
Here are some easy equation examples to help you practice:
x + 4 = 9 → x = 5
3x = 15 → x = 5
x - 2 = 6 → x = 8
x ÷ 2 = 4 → x = 8
2x + 1 = 7 → x = 3
These maths equation examples are fun puzzle games.
Equation vs Expression
In mathematics, the terms equation and expression are often used, but they represent different concepts. While both are essential elements of mathematical operations, understanding their differences is key to mastering algebra and other areas of math. The distinction between equations and expressions plays a critical role in solving problems and understanding how mathematical relationships work. Let’s explore the differences in more detail. Join Curious Junior Kids Online Class Now!!
Aspect
Equation
Expression
Definition
A statement that asserts the equality of two mathematical expressions.
A mathematical phrase involving numbers, variables, and operators but without an equality sign.
Contains
Contains an equal sign ("=").
Does not contain an equal sign.
Purpose
Used to represent relationships between quantities and to solve for unknowns.
Used to represent a value or quantity.
Example
2x + 5 = 10
2x + 5
Solving
Equations are solved to find the value of the variable(s).
Expressions are simplified or evaluated but not solved.
Result
The result of solving an equation is a specific value for the variable.
An expression is typically simplified or calculated, not solved for a variable.
Key Feature
Contains an equal sign ("=").
Does not have an equal sign; is a part of an equation.
Complexity
Can be complex, involving variables and constants on both sides.
Typically simpler, involving numbers, variables, and operations.
Example Use Case
Solving for x in the equation 3x - 4 = 11.
Simplifying or evaluating the expression 3x - 4.
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