RBSE Solutions for Class 7 Maths Chapter 13 Algebraic Expression Additional Questions

RBSE Solutions for Class 7 Maths Chapter 13 Algebraic Expression Additional Questions is part of RBSE Solutions for Class 7 Maths. Here we have given Rajasthan Board RBSE Class 7 Maths Chapter 13 Algebraic Expression Additional Questions.

Board	RBSE
Textbook	SIERT, Rajasthan
Class	Class 7
Subject	Maths
Chapter	Chapter 13
Chapter Name	Algebraic Expression
Exercise	Additional Questions
Number of Questions	17
Category	RBSE Solutions

Rajasthan Board RBSE Class 7 Maths Chapter 13 Algebraic Expression Additional Questions

Multiple Choice Questions

Question 1
Coefficient of x² in 5x² will be :
(A) 1
(B) 4
(C) 0
(D) 5

Question 2
Factors of 7y³ will be :
(A) 7, y, y, y
(B) 7,
(C) 7, y
(D) 0

Question 3
What will be the result (RBSESolutions.com) if we subtract 8xy from 10xy?
(A) 18xy
(B) 2xy
(C) xy
(D) 10xy

Question 4
If x = 4 then value of 2x + 8 will be :
(A) 16
(B) 8
(C) 10
(D) 18

Question 5
Number of (RBSESolutions.com) terms in 5xy + 5y + 2 will be :
(A) 2
(B) 4
(C) 3
(D) 1

Question 6
The value of 10xy + 5xy + y²+ 4y² will be :
(A) 15xy + 8y²
(B) 15xy + 5y²
(C) 10xy + y²
(D) y² + 8y
Answers:
1. (D), 2. (A), 3. (B), 4. (A), 5. (C), 6. (B)

Fill in the Blanks :
(i) The algebraic expression which (RBSESolutions.com) has three terms is known as ……….. expression.
(ii) In 9x³ + 8x + 5 the coefficient of x will be ……….. .
(iii) 8x³ + 9y² + 5y² + 4x³ = …………….
(iv) The value of algebraic expressions depends the value of ………….
Solution:
(i) trinomial
(ii) 8,
(iii) 12x³ + 14y²,
(iv) variable

True/False
(i) The algebaric expression on which (RBSESolutions.com) has only one term is known as monomial expression.
(ii) In 9x²y coefficient of y is 9x².
(iii) 5xy + 8xy + 2xy = 15xy.
(iv) There are four terms in 3x² + 9.
Solution:
(i) False
(ii) True
(iii) True
(iv) False

Very Short Answer Type Questions

Question 1
Subtract – 5xy from 9xy.
Solution:
9xy – (- 5xy) = 9xy + 5xy
= (9+ 5)xy = 14xy

Question 2
Find the (RBSESolutions.com) sum of 14xy + 9y and 6xy + 3y.
Solution:
(14xy + 9y) + (6xy + 3y)
= 14xy + 9 + 6xy + 3y
= 14xy + 6xy + 9 + 3y
= (14+ 6)xy + (9 +3)y
= 20xy + 12y

Question 3
If x = 4 and y = 2 then find the value of x² – y².
Solution:
In (x² – y²) put x = 4 and y = 2
x² – y² = (4)² – (2)²
= 16 – 4 = 12

Question 4
How many terms are in (2x² + 7x – 3)? Also (RBSESolutions.com) write the terms.
Solution:
(2x² + 7x – 3)consists three terms, 2x², 7x and – 3.

Question 5
Write the coefficient of y in 6x²y + 9x².
Solution:
In 6x²y + 9x² coefficient of y is 6x².

Short Answer/Long Answer Type Questions

Question 1
Draw the tree Sketch of (RBSESolutions.com) following algebraic expressions
(i) 2x² – 3xy
(ii) 5xy + 10
Solution:

Question 2
Find out the (RBSESolutions.com) value of (i) 6x² + 2x – 4 and (ii) x³+ 6x – 2 if x = 2.
Solution:
(i) In 6x² + 2x – 4 put x = 2
6x² + 2x – 4 = 6(2)² + 2(2) – 4
= 6 x 4 + 4 – 4
= 24 + 4 – 4
= 28 – 4 = 24

(ii) In x³ + 6x – 2 put x = 2
x³ + 6x – 2 = (2) + 6(2) – 2
= 8 + 12 – 2
= 20 – 2
= 18

Question 3
Simplify :
4x³ – [9x² – { -5x³ – (2 – 7x²) + 6x}]
Solution:
4x³ – [9x² – { -5x³ – (7 + 7x²) + 6x}}
= 4x² – [9x² – { -5 -2 + 7×2 + 6x}]
= 4x³ – [9x² + 5x³ + 2 – 7x² – 6x]
= 4x³ – 9x² – 5x³ – 2 + 7x² + 6x
= 4x³ – 5x³ – 9x² + 7x² + 6x – 2
= -x³ – 2x² + 6x – 2

Question 4
Simplify the following algebraic (RBSESolutions.com) expression and find the value when x = 3, a = -1 and b = -2
(i) 3x – 5 – x +9
(ii) 2 – 8x + 4x +4
(iii) 3a + 5 – 8a +1
(iv) 10 – 3b – 4 – 5b
(v) 2a – 2b – 4 – 5 + a
Solution:
(i) 3x – 5 – x + 9 = 2x +4
Put x = 3
2x + 4 = 2(3) + 4 = 6 +4 = 10

(ii) 2 – 8x + 4x + 4 = 6 – 4x
Put x = 3
6 – 4x = 6 – 4(3) = 6 – 12 = -6

(iii) 3a +5 – 8a +1 = -5a + 6
Put a = -1
-5a + 6 = -5( -1) +6
= 5 + 6 = 11

(iv) 10 – 3b – 4 – 5b = 6 – 8b
Put b = -2
6 – 8b = 6 – 8(-2)
= 6 + 16 = 22

(v) 2a – 2b – 4 – 5 + a= 3a – 2b – 9
Put a = – 1 and b = -2
3a – 2b – 9 = 3(-1) – 2(- 2) – 9
= – 3 + 4 – 9 = -8

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