NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Ex 12.3

NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Ex 12.3, are part of NCERT Solutions for Class 7 Maths. Here we have given NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Ex 12.3.

NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions Ex 12.3

Question 1.
If m = 2, find the value of :

  1. m – 2
  2. 3m – 5
  3. 9 – 5m
  4. 3m2 – 2m – 7
  5. \(\frac { 5m }{ 2 } \) – 4

Solution:
NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions 26
NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions 27

Question 2.
If p = – 2, find the value of :

  1. 4p + 7
  2. – 3p2 + 4p + 7
  3. – 2p3 – 3p2 + 4p + 7.

Solution:
NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions 28
NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions 29

Question 3.
Find the value of the following expressions, when x = – 1 :

  1. 2x – 7
  2. – x + 2
  3. x2 + 2x + 1
  4. 2x2 – x – 2.

Solution:
NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions 30

Question 4.
If a = 2, b = – 2, find the value of :

  1. a2 + b2
  2. a2 + ab + b2
  3. a2 – b2.

Solution:
NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions 31

Question 5.
When a = 0, b = – 1, find the value of the given expressions :

  1. 2a + 2b
  2. 2a2 + b2 + 1
  3. 2a2b + 2ab2 + ab
  4. a2 + ab + 2.

Solution:
NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions 32

Question 6.
Simplify the expressions and find the value ifx is equal to 2.

  1. x + 7 + 4 (x – 5)
  2. 3 (x + 2) + 5x – 7
  3. 6x + 5 (x – 2)
  4. 4 (2x – 1) + 3x + 11.

Solution:
NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions 33

Question 7.
Simplify these expressions and find their values if x = 3, a = – 1, b = – 2.

  1. 3x – 5 – x + 9
  2. 2 – 8x + 4x + 4
  3. 3a + 5 – 8a + 1
  4. 10 – 3b – 4 – 5b
  5. 2a – 2b – 4 – 5 + a.

Solution:
NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions 34
NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions 35

Question 8.
(i) If z = 10, find the value of z3 – 3(z – 10).
(ii) If p = -10, find the value of p2 – 2p – 100.
Solution:
NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions 36

Question 9.
What should be the value of a if the value of 2x2 + x – a equals to 5, when x = 0 ?
Solution:
NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions 37

Question 10.
Simplify the expression and find its value when a = 5 and b = – 3 2(a2 + ab) + 3 – ab.
Solution:
NCERT Solutions for Class 7 Maths Chapter 12 Algebraic Expressions 38

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