Level: Level 11: Introduction to Algebra
Topic: Simple equations
Description:
Simple equations are mathematical statements that show equality between two expressions. These equations often involve a variable, which is a letter (like x
or y
) used to represent an unknown value. The goal is to solve the equation by finding the value of the variable that makes the equation true.
For example, in the equation x + 3 = 7
, the variable x
is unknown, and we need to figure out what number it represents.
Example 1: Solving a Simple Addition Equation
Solve x + 5 = 9
:
To find x
, subtract 5 from both sides of the equation:
x + 5 - 5 = 9 - 5
x = 4
So, the solution is x = 4
.
Example 2: Solving a Simple Multiplication Equation
Solve 3x = 12
:
To find x
, divide both sides of the equation by 3:
(3x) ÷ 3 = 12 ÷ 3
x = 4
So, the solution is x = 4
.
Solving simple equations is the foundation of algebra. It helps students develop logical thinking and problem-solving skills, which are essential for more advanced mathematical concepts.
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