NCERT Solutions for Algebraic Expressions and Identities Exercise 9.1 Class 8 Maths

Exercise 9.1 Class 8 Maths: Class 8 Maths NCERT Solutions are based on the Algebraic Expressions and Identities. These solutions are curated as per the latest CBSE guidelines by Embibe’s subject matter experts to give a deep understanding of the Ex 9.1 class 8.

Students can access the ex 9.1 class 8 answers in detail and comprehensively in this article. Each question is solved in a simpler format to give students a thorough understanding of the chapters. Continue reading the article to access the PDF for exercise 9.1 class 8 solutions and the downloadable links of the exercise and more.

Class 8 Maths Chapter 9 Exercise 9.1: Overview

Candidates can go through the below-tabulated data to get an overview of the class 8 maths exercise 9.1:

NCERT Solutions for Class 8 Maths Chapter 9: PDF

In this article, all of the NCERT Solutions for Class 8 Maths Chapter 9 are solved according to the CBSE new guidelines. The exercise 9.1 class 8 solutions are provided step-by-step to help students solve the questions easily in the final examination. Students can access the Class 8 Maths Exercise 9.1 solutions in PDF format and prepare to score well in their final examination. Find the step-wise question and answer solutions below:

About Class 8th Maths Chapter 9

What are Expressions?
A constant is a symbol having a fixed numerical value whereas a variable is a symbol assuming various numerical values.

An algebraic expression is formed by variables and constants. A combination of variables and constants connected by +, -, × and ÷ is called an algebraic expression. The variable/s in an algebraic expression can assume countless different values.

What is Identity?
An identity is an equality, which is true for all values of the variable inequality.

Types of Identities
The following are the different types of standard identities:

1. (a + b)2 = a2 + 2ab + b2
2. (a – b)2 = a2 – 2ab + b2
3. (a + b) (a – b) = a2 – b2
4. (x + a) (x + b) = x2 + (a + b) x + ab
5. (x + a) (x – b) = x2 + (a – b) x – ab
6. (x – a) (x + b) = x2 – (a – b) x – ab
7. If x is a variable and m, n are positive integers, then (xm × xn) = x(m+n) Thus, x2 × x4 = x(2+4) = x6
8. If x is a variable and m, n are positive integers such that m > n, then (xm ÷ xn) = xm-n. Thus, x9 ÷ x4 = x9-4 = x5
9. Product of two monomials = (Product of their coefficients) × (Product of their variables)
10. Division of two monomials = (Division of their coefficients) × (Division of their variables)

Class 8th Maths Chapter 9: Important Questions

The following is the list of important questions for class 8 chapter 9 maths:

1. Using suitable algebraic identity, solve 10922
2. Identify terms and their coefficients from the following expressions:
   • 6x2y2 – 9x2y2z2+ 4z2
   • 3xyz – 8y
   • 6.1x – 5.9xy + 2.3y
3. Identify the type of expressions:
   • x2y + xy2
   • 564xy
   • -8x + 4y
   • x2 + x + 7
   • xy + yz + zp + px + 9xy
4. Calculate the area of a rectangle whose length and breadths are given as 3x2y m and 5xy2 m respectively.
5. Find the area of a square with side 5x2y
6. Add the following polynomials.
   1. x + y + xy, x – z + yx, and z + x + xz
   2. 2x2y2– 3xy + 4, 5 + 7xy – 3x2y2, and 4x2y2 + 10xy
   3. -3a2b2, (–5/2) a2b2, 4a2b2, and (⅔) a2b2
7. Simplify the following expressions:
   • (x + y + z)(x + y – z)
   • x2(x – 3y2) – xy(y2 – 2xy) – x(y3 – 5×2)
   • 2×2(x + 2) – 3x (x2 – 3) – 5x(x + 5)
8. Subtract the following polynomials.
   • (7x + 2) from (-6x + 8)
   • 3xy + 5yz – 7xz + 1 from -4xy + 2yz – 2xz + 5xyz + 1
   • 2x2y2– 3xy + 4 from 4x2y2 + 10xy
9. Calculate the volume of a cuboidal box whose dimensions are 5x × 3×2 × 7×4
10.  Simplify 7×2(3x – 9) + 3 and find its values for x = 4 and x = 6

Advantages of Solving Embibe’s NCERT Class 8 Maths Solutions

The following re the list of benefits candidates gain while solving Embibe’s NCERT Class 8 Maths Solutions

1. NCERT Class 8 Maths Solutions 2022-23 are created by Embibe’s subject-matter experts which provides a deep understanding of the chapter.
2. The questions are solved in a simpler and more understandable manner for students to grasp the concepts clearly.
3. Ex 9.1 class 8 is solved in a step-by-step manner to help students understand the answers easily and be able to solve them in their final exam.
4. To assist students in their preparation, a full assessment of topics and important questions are offered, with the marks and weightage of each question.
5. Students can make use of these NCERT solutions for last-minute preparation and revisions.
6. Helping students prepare for their forthcoming entrance level exams, NCERT solutions will help them score well on their class 12 final exam.
7. The NCERT Class 8 Maths Solutions are provided in the form of PDFs and in-text solutions for students to download for and use efficiently.
8. With deep analysis and understanding of the NCERT Class 8 Exercise 9.1 Solutions PDF, students are also provided with the chapter wise mock tests to practice better for their examination.

FAQs on Class 8 Maths Exercise 9.1 Solutions

The following are the most frequently asked questions on class 8 maths exercise 9.1:

Q.1: How many exercises are there in NCERT Solutions for Algebraic Expressions and Identities Class 8 Maths?
Ans: There are 12 exercises in the  NCERT Solutions for Algebraic Expressions and Identities Class 8 Maths.

Q.2: Where can I download the class 8 maths chapter 9 exercise 9.1 for?
Ans: Students can access the class 8 maths chapter 9 exercise 9.1  NCERT solutions for at Embibe.

Q.3: Is class 8 Maths chapter 9 exercise 9.1 difficult? 

Ans: The questions in the class 8 Maths chapter 9 exercise 9.1 is of moderate level, but with proper practice, students can easily understand the exercise. For better analysis students can access the class 8 chapter 9 solutions at Embibe. 

Q.4: Where can I get chapter-wise class 8 Maths NCERT solutions mock test series for practice?
Ans: Students can solve the chapter-wise class 8 Maths NCERT solutions mock test series at Embibe for.

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