Question

Algebraic Expressions
EXERCISE 12.5
Find the square of the follow
(a) p + 5q
(b)​

Answer 1

Answer:

Mathematics NCERT Grade 7, Chapter 12: Algebraic Expressions- The chapters discuss concepts related to algebraic expressions.

After a short introduction, the first section discusses How are expressions formed?

Algebraic expressions are formed from variables and constants.

This is followed by the topics terms, factors, and coefficients.

Expressions are made up of terms.

A term is a product of factors.

Coefficient is the numerical factor in the term

Before moving to terms like monomials, binomials, and polynomials, like and unlike terms are discussed.

When terms have the same algebraic factors, they are like terms.

When terms have different algebraic factors, they are unlike terms.

Any expression with one or more terms is called a polynomial.

A one-term expression is called a monomial.

A two-term expression is called binomial.

An expression that contains three terms is called a trinomial.

Emphasis is given to important topics like the Addition and Subtraction of Algebraic Expressions.

2 sub parts are discussed in the following section:

Adding and subtracting like terms: The sum of two or more like terms is a like term with a numerical coefficient equal to the sum of the numerical coefficients of all the like terms.

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.

Adding and subtracting general algebraic expressions

The like terms are added together while the unlike terms are left as they are.

The next part of the section explains about Finding the Value of an Expression where value of a variable is given depending on which value of the expression is calculated.

This is followed by the topic- Using Algebraic Expressions- Formulas and Rules where one understands how algebraic expressions can be used to write formulas and patterns. These patterns are related to numbers and geometrical patterns.

Perimeter formulas

Area formulas

Rules for number patterns

Some more number patterns

Pattern in geometry

Unsolved, solved exercises, questions in different patterns will make the chapter more comprehensible to students.

All important points of the chapter are cited in the end under the title- What Have We Discussed?

Explanation:

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