Working in algebra consists of handling numerical relationships in which one or more quantities are unknown. These quantities are called variables, unknowns, or indeterminates and are represented by letters.
An algebraic expression is a combination of letters and numbers connected by operation signs: addition, subtraction, multiplication, division, and exponentiation. Algebraic expressions allow us, for example, to find areas and volumes:
Circumference length: 
, where 
is the radius of the circumference.
Area of a square: 
, where 
is the side of the square.
Volume of a cube: 
, where 
is the edge of the cube.
Common Algebraic Expressions
Double or twice a number: 
Triple of a number: 
Quadruple of a number: 
Half of a number: 
One third of a number: 
One fourth of a number: 
A number is proportional to 
,...: 
A number squared: 
A number cubed: 
An even number:
An odd number: 
Two consecutive numbers: 
Two consecutive even numbers: 
Two consecutive odd numbers: 
Decompose 
into two parts: 
The sum of two numbers is : 
The difference of two numbers is : 
The product of two numbers is : 
The quotient of two numbers is : 
Three consecutive numbers: 
A number plus half of its predecessor: 
An even number plus its following odd number: 
The square root of a number: 
The cube root of a number: 
Half of the fourth root of a number: 
The quotient of a number and its square root: 
The quotient of an even number and its consecutive: 
The product of two consecutive odd numbers: 
The cube of the quotient of 
and an even number: 
An even number raised to its next even number: 
Examples of Algebraic Expressions
Three times a number minus two: 
Twice the sum of a number plus two: 
One fifth of a number cubed: 
Half of a number minus five, cubed: 
The square of the sum of a number plus three: 
Twice a number plus its half: 
The number seven minus four times a number: 
A number plus three times its successor: 
A number plus its square root: 
The cube of a number minus its square root: 
The square of a number plus its cube root: 
A number multiplied by 
plus half of its successor: 
of a number: 
of a number: 
of a number: 
of a number minus : 
The square of 
of a number plus 
: 
Summarize with AI:
Did you like this article? Rate it!
Loading...
