ML Aggarwal Solutions for Class 7 Maths Chapter 8 Algebraic Expressions

ML Aggarwal Solutions for Class 7 Maths Chapter 8 Algebraic Expressions are given here. These solutions are most valuable that assist students in learning complex and challenging topics. By solving the questions of ML Aggarwal Solutions for Class 7 Maths Chapter 8, students can enhance their problem-solving and analytical abilities and analyse their strengths and weaknesses. It makes them feel confident while answering the question paper in the annual exam.

Chapter 8 – Algebraic Expressions: Expressions are defined as numbers, symbols and operators (such as +. -, × and ÷) grouped together that show the value of something. This chapter contains the topics related to terms of an expression, like and unlike terms, monomials, binomials, trinomials and polynomials, and addition and subtraction of algebraic expressions.

ML Aggarwal Solutions for Class 7 Maths Chapter 8 Algebraic Expressions

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1. From the algebraic expressions using variables, constants, and arithmetic operations:
(i) 6 more than thrice a number x.

Solution:-

3x + 6

(ii) 5 times x is subtracted from 13.

Solution:-

13 – 5x

(iii) The numbers x and y are both squared and added.

Solution:-

x² + y²

(iv) Number 7 is added to 3 times the product of p and q.

Solution:-

3pq + 7

(v) Three times of x is subtracted from the product of x with itself.

Solution:-

x² – 3x

(vi) Sum of the numbers m and n is subtracted from their product.

Solution:-

mn – (m + n)

2. A taxi charges ₹ 9 per km and a fixed charge of ₹ 50. If the taxi is hired for x km, write an algebraic expression for this situation.

Solution:-

From the question, it is given that,

A taxi charges ₹ 9 per km

A fixed charge of ₹ 50

If the taxi is hired for x km = ₹ (9x + 50)

3. Write down the algebraic expression whose terms are:
(i) 5a, -3b, c

Solution:-

Expressions are defined as numbers, symbols and operators (such as +. -, × and ÷) grouped together that show the value of something.

So, Expressions = 5a – 3b + c

(ii) x², -5x, 6

Solution:-

Expressions are defined as numbers, symbols and operators (such as +. -, × and ÷) grouped together that show the value of something.

So, Expressions = x² – 5x + 6

(iii) x²y, xy, -xy²

Solution:-

Expressions are defined as numbers, symbols and operators (such as +. -, × and ÷) grouped together that show the value of something.

So, Expressions = x²y + xy – xy²

4. Write all the terms of each of the following algebraic expressions:

(i) 3 – 7x

Solution:-

In algebra, a term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or – signs or sometimes by division.

Terms = 3, -7x

(ii) 2 – 5a + ½b

Solution:-

In algebra, a term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or – signs or sometimes by division.

Terms = 2, -5a, ½b

(iii) 3x⁵ + 4y³ – 7xy² + 3

Solution:-

In algebra, a term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or – signs or sometimes by division.

Terms = 3x⁵, 4y³, -7xy², 3

5. Identify the terms and their factors in the algebraic expressions given below:
(i) -4x + 5y
(ii) xy + 2x²y²
(iii) 1.2ab – 2.4b + 3.6a

Solution:-

Expressions are defined as numbers, symbols and operators (such as +. -, × and ÷) grouped together that show the value of something.

In algebra, a term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or – signs or sometimes by division.

Factors are defined as numbers we can multiply together to get another number.

6. Show the terms and their factors by tree diagrams of the following algebraic expressions:
(i) 8x + 3y²

Solution:-

Expression: 8x – 3y²

Terms: 8x, -3y²

Factors: 8, x; 3, y, y

(ii) y – y³

Solution:-

Expression: y – y³

Terms: y, -y³

Factors: y; -y, -y, -y

(iii) 5xy² + 7x²y

Solution:-

Expression: 5xy² + 7x²y

Terms: 5xy², 7x²y

Factors: 5, x, y, y; 7, x, x, y

(iv) -ab + 2b² – 3a²

Solution:-

Expression: -ab + 2b² – 3a²

Terms: -ab, 2b², -3a²

Factors: -a, b; 2, b, b; -3, a, a

7. Write down the numerical coefficient of each of the following:
(i) -7x
(ii) -2x³y²
(iii) 6abcd²

(iv) (2/3)pq²

Solution:-

A coefficient is a number used to multiply a variable (3x means 3 times x, so 3 is a coefficient) Variables on their own (without a number next to them) actually have a coefficient of 1 (x is really 1x)

Then,

(i) -7x numerical co-efficient is -7

(ii) -2x³y² numerical co-efficient is -2

(iii) 6abcd² numerical co-efficient is 6

(iv) (2/3)pq² numerical co-efficient is 2/3