Students can go through AP Board 7th Class Maths Notes Chapter 10 Algebraic Expressions to understand and remember the concepts easily.

## AP State Board Syllabus 7th Class Maths Notes Chapter 10 Algebraic Expressions

→ Variable: It takes different values.

Ex: x, y, z, a, b, c, m etc.

Constant: The value of constant is fixed.

Ex: 1, 2, \(\frac{-2}{3}\), \(\frac{4}{5}\) etc.

→ Algebraic Expression: An algebraic expression is a single term or a combination of terms connected by the symbols ‘+’ (plus) or(minus).

Ex: 2x + 3, \(\frac{2}{5}\)p, 3x – 1 etc.

→ Numerical Expression : If every term of an expression is a constant term, then the expression is called a Numerical expression.

Ex: 2 + 1, -5 × 3, (12 + 4) ÷ 3.

Note: In the expression 2x + 9, ‘2x’ is an algebraic term. ‘9’ is called numeric term.

→ Like terms are terms which contain the same variables with the same exponents.

Ex: 12x, 25x, -7x are like terms.

2xy^{2}, 3xy^{2}, 7xy^{2} are like terms.

→ Coefficient: In a.x^{n}, ‘a’ is called the numerical coefficient and ‘x’ is called the literal coefficient.

Types of algebraic expressions.

→ Degree of a monomial: The sum of all exponents of the variables present in a monomial is called the degree of the term or degree of the monomial.

Ex: The degree of 9x^{2}y^{2 }is 4 [∵ 2 + 2 = 4]

Note: Degree of constant term is zero.

The highest of the degrees of all the terms of an expression is called the degree of the expression.

Ex: The degree of the expression ax + bx^{2} + cx^{3} + dx^{4} + ex^{5} is 5.

→ The difference between two like terms is a like term with a numerical coefficient equal to the difference between the numerical coefficients of the two like terms.

Note:

- If no two terms of an expression are alike then it is said to be in the simplified form.
- In an expression, if the terms are arranged in such a way that the degrees of the terms are in descending order then the expression is said to be in standard form.
- Addition (or) subtraction of expressions should be done in two methods, they are

i) Column or Vertical method.

ii) Row or Horizontal method.