Page 282 - ICSE Math 7

Types of Algebraic Expression

An algebraic expression which consists of only one
Monomial
term. Example: 5p, 3xy

An algebraic expression which consists of two terms.
Binomial
2
Example: 3x + 2y, 5x + 7z
An algebraic expression which consists of three
Trinomial
terms. Example: 2x + 3y – 2, 3m + 7x + 3
An algebraic expression having one or more than one
Polynomial
2
term. Example: 2x + 3y + z – 2
Degree of a polynomial
The highest power of the literal.
3
2
Example:–8x + 5x + 2 is a
polynomial in x with degree 3.

LINEAR EQUATIONS IN ONE VARIABLE

Equation
An equation is a mathematical statement which shows Properties of equation
the equality of two expressions.
If x = y then x + a = y + a
An equation having only one variable is known as simple
equation. Example: 2x + 4 = 1 If x = y then x – a = y – a

An equation having variables with the highest power one If x = y then xa = ya
is known as linear equation. Example: 2x + 4y = 6
If x = y then x ÷ a = y ÷ a
An equation which has only one variable with the highest
power one is known as linear equation in one variable.
Example: 4m – 3 = 5

LINEAR INEQUATIONS

Inequation
An inequation is a mathematical statement which
states that the algebraic expressions are not equal.

Replacement set Solution set
The set from which the values of the The values of the variable from the
variables have to be selected to make replacement set which satisfy the
an inequation true is known as the inequation form the solution set or truth
replacement set or domain. set of the inequation.

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