• Skip to main content
  • Skip to secondary menu
  • Skip to primary sidebar
  • Skip to footer
  • RBSE Model Papers
    • RBSE Class 12th Board Model Papers 2022
    • RBSE Class 10th Board Model Papers 2022
    • RBSE Class 8th Board Model Papers 2022
    • RBSE Class 5th Board Model Papers 2022
  • RBSE Books
  • RBSE Solutions for Class 10
    • RBSE Solutions for Class 10 Maths
    • RBSE Solutions for Class 10 Science
    • RBSE Solutions for Class 10 Social Science
    • RBSE Solutions for Class 10 English First Flight & Footprints without Feet
    • RBSE Solutions for Class 10 Hindi
    • RBSE Solutions for Class 10 Sanskrit
    • RBSE Solutions for Class 10 Rajasthan Adhyayan
    • RBSE Solutions for Class 10 Physical Education
  • RBSE Solutions for Class 9
    • RBSE Solutions for Class 9 Maths
    • RBSE Solutions for Class 9 Science
    • RBSE Solutions for Class 9 Social Science
    • RBSE Solutions for Class 9 English
    • RBSE Solutions for Class 9 Hindi
    • RBSE Solutions for Class 9 Sanskrit
    • RBSE Solutions for Class 9 Rajasthan Adhyayan
    • RBSE Solutions for Class 9 Physical Education
    • RBSE Solutions for Class 9 Information Technology
  • RBSE Solutions for Class 8
    • RBSE Solutions for Class 8 Maths
    • RBSE Solutions for Class 8 Science
    • RBSE Solutions for Class 8 Social Science
    • RBSE Solutions for Class 8 English
    • RBSE Solutions for Class 8 Hindi
    • RBSE Solutions for Class 8 Sanskrit
    • RBSE Solutions

RBSE Solutions

Rajasthan Board Textbook Solutions for Class 5, 6, 7, 8, 9, 10, 11 and 12

  • RBSE Solutions for Class 7
    • RBSE Solutions for Class 7 Maths
    • RBSE Solutions for Class 7 Science
    • RBSE Solutions for Class 7 Social Science
    • RBSE Solutions for Class 7 English
    • RBSE Solutions for Class 7 Hindi
    • RBSE Solutions for Class 7 Sanskrit
  • RBSE Solutions for Class 6
    • RBSE Solutions for Class 6 Maths
    • RBSE Solutions for Class 6 Science
    • RBSE Solutions for Class 6 Social Science
    • RBSE Solutions for Class 6 English
    • RBSE Solutions for Class 6 Hindi
    • RBSE Solutions for Class 6 Sanskrit
  • RBSE Solutions for Class 5
    • RBSE Solutions for Class 5 Maths
    • RBSE Solutions for Class 5 Environmental Studies
    • RBSE Solutions for Class 5 English
    • RBSE Solutions for Class 5 Hindi
  • RBSE Solutions Class 12
    • RBSE Solutions for Class 12 Maths
    • RBSE Solutions for Class 12 Physics
    • RBSE Solutions for Class 12 Chemistry
    • RBSE Solutions for Class 12 Biology
    • RBSE Solutions for Class 12 English
    • RBSE Solutions for Class 12 Hindi
    • RBSE Solutions for Class 12 Sanskrit
  • RBSE Class 11

RBSE Solutions for Class 8 Maths Chapter 9 Algebraic Expressions Additional Questions

March 21, 2019 by Fazal Leave a Comment

RBSE Solutions for Class 8 Maths Chapter 9 Algebraic Expressions Additional Questions is part of RBSE Solutions for Class 8 Maths. Here we have given Rajasthan Board RBSE Class 8 Maths Chapter 9 Algebraic Expressions Additional Questions.

Board RBSE
Textbook SIERT, Rajasthan
Class Class 8
Subject Maths
Chapter Chapter 9
Chapter Name Algebraic Expressions
Exercise Additional Questions
Number of Questions 43
Category RBSE Solutions

Rajasthan Board RBSE Class 8 Maths Chapter 9 Algebraic Expressions Additional Questions

I. Objective Type Questions

Question 1.
The product of xy, yz and zx is
(a) 2xyz
(b) x²y²z²
(c) xy + yz + zx
(d) x3y3z3

Question 2.
Coefficient of x5 in \(\frac { 8 }{ 5 } { x }^{ 5 }\) is
(a) \(\frac { 8 }{ 5 }\)
(b) 5
(c) 8
(d) \(\frac { 5 }{ 8 }\)

Question 3.
Coefficient of yz in \(\frac { 15 }{ 16 }\) xyz is
RBSE Solutions for Class 8 Maths Chapter 9 Algebraic Expressions Additional Questions img-1

Question 4.
The number of terms in the expression 8x² + 2xy + 3x² + 2y² + 2x² is
(a) 3
(b) 2
(c) 5
(d) 4

RBSE Solutions

Question 5.
The sum of 4xy, 3.5xy, – 2xy, 2xz is
(a) 2.5xy + 5.2xz
(b) 5.5xy + 2xz
(c) 2.5xy + 5xz
(d) 5.5xy + 2xy

Question 6.
The product of 3x (x + y) is
(a) 3x² + 3xy
(b) 3x² + y
(c) x² + 3xy
(d) 3x + 3y

Question 7.
Subtracting 2a + 3b from 5a + 2b, we get
(a) 3a + 2b
(b) 2a + 3b
(c) 3a – b
(d) 5a – 3b

Question 8.
The product of pq + qr + 2p and 0 is
(a) 0
(b) 1
(c) pqr
(d) pq + qr + rp

RBSE Solutions

Question 9.
Like term of expression 7x²y is
(a) 7xy
(b) – 10x²y
(c) 7
(d) 7x²

Answers
1. (b)
2. (a)
3. (b)
4. (a)
5. (b)
6. (a)
7. (c)
8. (a)
9. (b)

RBSE Solutions

II. Fill in the blanks

Question 1.
The coefficient of x4 in \(\frac { 2 }{ 8 } { x }^{ 4 }\) is ___

Question 2.
The solution of 8xyz – 5xyz is ___

Question 3.
The sum of 8x² + 2x and 4x + 2 is ___

Question 4.
The product(RBSESolutions.com)of 2x, 4x and \(\frac { 2 }{ 3 }x\) is ___

RBSE Solutions

Question 5.
x² + (a + b) x + ab = (x + a) ___

Answers
1. \(\frac { 2 }{ 8 }\)
2. 3xyz
3. 8x² + 6x + 2
4. \(\frac { 16{ x }^{ 3 } }{ 3 } \)
5. (x + b)

III. True/False Type Questions

Question 1.
4y – 7z is a trinomial.

Question 2.
x + \(\frac { 1 }{ x }\) is a polynomial.

Question 3.
(x + a) (x + b) = x² + (a + b) x + ab is a identity.

Question 4.
1 and 100 are homogeneous expressions.

Answers
1. False
2. False
3. True
4. True.

RBSE Solutions

IV. Matching Type Questions

Part 1 Part 2
1. 4x x 5y x 72 = (a) 140xyz
2. Coefficient of x in 1 + x + x² (b) 0
3. Sum of ab – bc, bc – ca, ca – ab (c) a² – b²
4. (a + b) (a – b) = (d) 1

Answers
1. ⇔ (a)
2. ⇔ (d)
3. ⇔ (b)
4. ⇔ (c)

RBSE Solutions

V. Very Short Answer Type Questions

Question 1.
Find the coefficient of x² in \(-\frac { 3 }{ 7 }\)x²y² .
Solution
The coefficient of x² in \(-\frac { 3 }{ 7 }\)x²y²
= \(-\frac { 3 }{ 7 }\)y²

Question 2.
Write the number of terms in 5xy + 2xz + 3xy + x² + y².
Solution:
5xy + 2xz + 3xy + x² + y²
= 5xy + 3xy + 2xz + x² + y²
= 8xy + 2xz + x² + y²
Hence the number of terms = 4

Question 3.
Find the sum \(\frac { 5 }{ 6 } x+\frac { 7 }{ 6 } x+\frac { 1 }{ 6 } x\)
Solution:
RBSE Solutions for Class 8 Maths Chapter 9 Algebraic Expressions Additional Questions img-2

RBSE Solutions

Question 4.
Find the sum of (2x + 7), (4x – 2) land (6x + 4).
Solution:
RBSE Solutions for Class 8 Maths Chapter 9 Algebraic Expressions Additional Questions img-3

Question 5.
Find the product of (x² + 2x) and (2x + 3).
Solution:
(x² + 2x) (2x + 3)
= x² (2x + 3) + 2x (2x + 3)
= 2x³ + 3x² + 4x² + 6x .
= 2x³ + 7x² + 6x

Question 6.
Find the(RBSESolutions.com)value of 3x² + 4xy + 2y² if x = 5 and y = 2.
Solution:
3x² + 4xy + 2y²
= 3 (5)² + 4(5) (2) + 2(2)²
= 75 + 40 + 8
= 123

RBSE Solutions

Question 7.
Find the product :
(3x + 5) (5x – 3)
Solution
(3x + 5) (5x – 3)
= 3x(5x – 3) + 5(5x – 3)
= (3x) (5x) + (3x) (- 3) + (5) (5x) + (5)(- 3)
= 15x² – 9x + 25x – 15
= 15x² + 16x – 15

Question 8.
If x = \(\frac { 1 }{ 2 }\),y = \(\frac { 2 }{ 3 }\) and z = \(\frac { 1 }{ 3 }\) then find the value of \(\frac { 1 }{ 8 }xyz\)
Solution
\(\frac { 1 }{ 8 }xyz\)
RBSE Solutions for Class 8 Maths Chapter 9 Algebraic Expressions Additional Questions img-4

VI. Short Answer Type Questions

Question 1.
Simplify
RBSE Solutions for Class 8 Maths Chapter 9 Algebraic Expressions Additional Questions img-5
Solution
RBSE Solutions for Class 8 Maths Chapter 9 Algebraic Expressions Additional Questions img-6

RBSE Solutions

Question 2.
If \(x+\frac { 1 }{ x }=7\), the find the value of \({ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } \).
Solution
\(x+\frac { 1 }{ x }=7\)
Squaring both sides
RBSE Solutions for Class 8 Maths Chapter 9 Algebraic Expressions Additional Questions img-7

RBSE Solutions

Question 3.
If 2(a² + b²) = (a + b)² then prove that a = b.
Solution
2 (a² + b²) = (a + b)²
⇒ 2a² + 2b² = a² + 2ab + b²
(Using identity I)
⇒ a² – 2ab + b² = 0
⇒ (a – b)² = 0 (Using identity II)
⇒ a – b = 0
⇒ a = b

Question 4.
What is the value of a if 2x² + x – a is equal to 5 and x = 0.
Solution
According(RBSESolutions.com)to question,
2(0)² + (0) – a = 5
⇒ – a = 5
⇒ a = – 5

RBSE Solutions

Question 5.
Simplify the expression 2(a² + ab) + 3 – ab and find its value when a = 5 and b = – 3.
Solution
2(a² + ab) + 3 – ab
= 2a² + 2ab + 3 – ab
= 2a² + ab + 3
= 2(5)² + (5) (- 3) + 3
When a = 5 and b = – 3
= 50 – 15 + 3
= 38

Question 6.
Using proper identity, find the value of (1.2)² – (0.8)².
Solution
(1.2)² – (0.8)²
= (1.2 + 0.8) (1.2 – 0.8)
(Using identity III)
= (2) (0.4)
= 0.8

RBSE Solutions

Question 7.
Using identity (x + a) (x + b) = x² + (a + b) x + ab, find the value of following – 201 x 202
Solution
201 x 202
= (200 + 1) x (200 + 2)
= (200)² + (1 + 2) (200) + 1 x 2 (Using given identity)
= 40000 + 600 + 2
= 40602

Question 8.
To get – x² – y² + 6xy + 20, what is to be subtracted from 3x² – 4y² + 5xy + 20?
Solution
Required expression
= (3x² – 4y² + 5xy + 20) – (- x² – y² + 6xy + 20)
= 3x² – 4y² + 5xy + 20 + x² + y² – 6xy – 20
= 4x² – 3y² – xy

Question 9.
Simplify
(a + b) (a – b) – (a² + b²)
Solution
(a + b) (a – b) – (a² + b²)
= a (a – b) + b (a – b) – (a² + b²)
= a² – ab + ba – b² – a² – b²
= a² – ab + ab – b² – a² – b²
= a² – a² – ab + ab – b² – b²
= 0 – 0 – 2b²
= – 2b²

RBSE Solutions

Question 10.
Using identity a² – b² = (a + b) (a – b) find the product
(i) (2a + 7) (2a – 7)
(ii) (p² + q²) (p² – q²)
Solution
(i) (2a + 7) (2a – 7) = (2a)² – (1)²
= 2²a² – 7²
= 4a² – 49
(ii) (p² + q²) (p² – q²)
= (p²)² – (q²)²
= p4 – q4

Question 11.
Find the product using suitable identity
(i) (5x – 3) (5x + 3)
(ii) 103 x 99
Solution
(i) (5x – 3) (5x + 3)
= (5x)² – (3)² (Using identity 3)
= 25x² – 9
(ii) 103 x 99
(100 + 3) x (100 – 1)
(100 + 3) x {100 + (- 1)}
= (100)² + {3 + (-1)} 100 + (3) (-1) (Using given identity)
= 1000 + 200 – 3
= 10197

RBSE Solutions

Question 12.
Simplify
(x – 5)² + 10x.
Solution
(x – 5)² + 10x = x² – 2 × x × 5 + (5)² + 10x
[Formula : (a – b)² = a² – 2ab + b²]
= x² – 10x + 25 + 10x
= x² + 25

Question 13.
Using suitable identities, evaluate the 72 x 68.
Solution
72 x 68
= (70 + 2) (70 – 2)
= (70)² – (2)²
[Using in identity (a + b) (a – b) = a² – b²]
= 4900 – 4
= 4896

RBSE Solutions

We hope the given RBSE Solutions for Class 8 Maths Chapter 9 Algebraic Expressions Additional Questions will help you. If you have any query regarding Rajasthan Board RBSE Class 8 Maths Chapter 9 Algebraic Expressions Additional Questions, drop a comment below and we will get back to you at the earliest.

Share this:

  • Click to share on WhatsApp (Opens in new window)
  • Click to share on Twitter (Opens in new window)
  • Click to share on Facebook (Opens in new window)

Related

Filed Under: Class 8

Reader Interactions

Leave a Reply Cancel reply

Your email address will not be published. Required fields are marked *

Primary Sidebar

Rajasthan Board Questions and Answers

Recent Posts

  • RBSE Solutions for Class 11 Physical Geography Chapter 9 Denudation
  • RBSE Solutions for Class 9 Social Science Chapter 12 Physical Features of India
  • RBSE Solutions for Class 5 Maths Chapter 5 Multiples and Factors Additional Questions
  • RBSE Solutions for Class 10 Social Science Geography Chapter 1 Resource and Development
  • RBSE Solutions for Class 6 Science Chapter 5 Let Us Know the Substance
  • RBSE Solutions for Class 7 Science Chapter 7 Organic Evolution
  • RBSE Class 10 Science Notes Chapter 11 Work, Energy and Power
  • RBSE Solutions for Class 11 Physics Chapter 4 Laws of Motion
  • RBSE Solutions for Class 11 Physics Chapter 13 Thermodynamics
  • RBSE Class 10 Maths Important Questions Chapter 3 Pair of Linear Equations in Two Variables
  • RBSE Solutions for Class 10 Maths Chapter 2 Real Numbers Ex 2.2

Footer

RBSE Solutions for Class 12
RBSE Solutions for Class 11
RBSE Solutions for Class 10
RBSE Solutions for Class 9
RBSE Solutions for Class 8
RBSE Solutions for Class 7
RBSE Solutions for Class 6
RBSE Solutions for Class 5
RBSE Solutions for Class 12 Maths
RBSE Solutions for Class 11 Maths
RBSE Solutions for Class 10 Maths
RBSE Solutions for Class 9 Maths
RBSE Solutions for Class 8 Maths
RBSE Solutions for Class 7 Maths
RBSE Solutions for Class 6 Maths
RBSE Solutions for Class 5 Maths
Target Batch
RBSE Class 11 Political Science Notes
RBSE Class 11 Geography Notes
RBSE Class 11 History Notes

Copyright © 2022 RBSE Solutions

 

Loading Comments...