Collins Maths Solutions Class 7 Chapter 11 Operations on Algebraic Expressions
Welcome to NCTB Solution. Here with this post we are going to help 7th class students for the Solutions of Collins Maths Class 7 Mathematics, Chapter 11, Operations on Algebraic Expressions. Here students can easily find chapter 7 solutions with exercise wise explanation. Students will find proper solutions for Exercise 11.1, 11.2 and 11.3 Our teacher’s solved every problem with easily understandable methods so that every students can understand easily. Here in this post all the solutions are based on ICSE latest Syllabus.
Operations on Algebraic Expressions Exercise 11.1 Solution :
Question no – (1)
Solution :
(a) 36x2y + 28xy + 10
= 36x2y = 2 × 2 × 3 × 3 × x × x × y
= 28xy = 2 × 2 × 8 × x × y
= 10 = 2 × 5
(b) 2x5 – 6x3 + 28x2 + x + 9
= 2x5 = 2 × x × x ×x × x × x
= 6x3 = 2 × 3 × x × x × x
= 28x2 = 2 × 2 × 7 × x × x
= x = x
= 9 = 3 × 3
(c) 5abc + 25a2bc
= 5abc = 5 × a × b × c
= 25a2bc = 5 × 5 × a × a × b × c
Question no – (2)
Solution :
| Variable term | Numerical coefficient of variable term | Constant term |
| 45hx, 32y, | 45, 32 | -6 |
| 3t3, 2t2 | 3, 2 | +10 |
| h/4, 7h | 1/4, 7 | +21 |
Question no – (3)
Solution :
(a) Degree,
= (2 + 1 + 1)
= 4
(b) Degree,
= (1 + 1)
= 2
(c) Degree,
= (3 + 2 + 1)
= 6
(d) Degree,
= (3 + 3 + 2)
= 8
(e) Degree,
= (2 + 3)
= 5
Question no – (4)
Solution :
(a) Degree,
= 3
(b) Degree,
= 3
(c) Degree,
= 9
Question no – (5)
Solution :
(a) Like terms
(b) Unlike terms.
(c) Unlike terms
(d) Like terms.
Question no – (6)
Solution :
(a) Trinomial
(b) Monomial
(c) Binomial
(d) Trinomial
(e) Trinomial
(f) Polynomial
Operations on Algebraic Expressions Exercise 11.2 Solution :
Question no – (1)
Solution :
(a) Let, father age = x year.
Ravi’s age = ( x – 32) year.
(b) Let, lions = x
∴ tigers = (x – 10)
(c) Let, last year = x
Now, (x – 20)% rainfall in this year.
(d) Toms brother age = x year
∴ Tom’s age
= (x – 4) years.
(e) Algebraic expression = 300d
(f) Amount of money of each employee get,
= 10000/x
[x = total number of employee]
Operations on Algebraic Expressions Exercise 11.3 Solution :
Question no – (1)
Solution :
(a) (5a – 9b) + (-16a + 19b)
= 5a – 9b – 16a + 19b
= – 11a + 10b
(b) (41h + 15g) + (7g – 13h)
= 41h + 15g + 7g – 13h
= 28h + 22g
(c) (5p3 – 3p2 – 6 p – 3) + (3p3 + 7b – 10)
= 5p3 – 3p2 – 6p – 3 + 3p3 + 7p – 10
= 8p3 – 3p2 + p – 13
(d) (-14a2 + 21b2 + 9ab) + (33a2 – 25b2 + ab)
= -14a2 + 21b2 + 9ab + 33a2 – 25b2 + ab
= 19a2 – 4b2 + 10ab
Question no – (2)
Solution :
(a) (7b + 16c) – (52c – 12b)
= 7b + 16c – 52c + 12b
= 19b – 36c
(b) (19l6 + 15l2 -12l) – (19l6 + 15l2 – 12l)
= 19l6 + 15l2 – 12l 19l6 – 15l2 + 12l
= 0
(c) (12k2 + 2k – 9) – (9k2 – 14k + 6)
= 12k2 + 2k – 9 – 9k2 + 14k – 6
= 3k2 + 16k – 15
(d) (17bc + 19ca – 12ab) – (-2ab + 5bc + 3ca)
= 17bc + 19ca – 12ab – 2ab – 5bc – 3ca
= 12bc + 16ca – 10ab
Question no – (3)
Solution :
(a) A + A + C
= -4x2 + 3y2 + 14xy + (-4x2 + 3y2 + 14xy) + (22x2 – 25y2 + 17xy)
= -4x2 + 3y2 + 14xy – 4x2 + 3y2 + 14xy + 22x2 – 25y2 + 17xy
= 14x2 – 19y2 + 45xy
(b) A + C – B
= – 4x2 + 3y2 + 14xy + 22x2 – 25xy + 17xy – (21x2 – 15xy + 9y2)
= – 4x2 + 3y2 + 14xy + 22x2 – 25y2 + 17xy – 21x2 + 15xy – 9y2
= – 3x2 – 31y2 + 46xy
(c) C – A + B
= 22x2 – 25y2 + 17xy – (-4x2 + 3y2 + 14xy) + 21x2 – 15xy + 9y2
= 22x2 – 25y2 + 17xy + 4x2 – 3y2 – 14xy + 21x2 – 15xy + 9x2
= 47x2 – 19y2 – 12xy
Question no – (4)
Solution :
Sum = (7a – 2b + 3c) + (5a + 6b – 9c)
= 7a -2b +3c + 5a + 6b – 9c
= 12a + 4b – 6c
Now, (14a – 25b + 30c) – (12 a 4b – 6c)
= 14a – 25b + 30c – 12a 4b + 6c
= 2a – 29b + 36c
Question no – (5)
Solution :
To be added,
= (54x8 – 40x3 + 72x2 – 98) – (13×8 – 12x3 + x2 – 19x + 49)
= 54x8 – 40x3 + 72x2 – 98 + 12x3 – x2 + 19x – 49
= 41x8 – 28x3 + 71x2 + 19x – 147
Question no – (6)
Solution :
Perimeter,
= 2 [(-4x + 6y + 3z) + (12x – 4y + 9z)
= 2 [-4x + 6y + 3z +12x – 4y + 9z]
= 2 [8x + 2y + 12z]
= 16x + 4y + 24z
Question no – (7)
Solution :
Third side,
= 29a + 9b – 6c – {(16a + 5b – 2c) – (-6a + 7b – (2c)}
= 29a + 9b – 6c – {16a + 5b – 2c + 6a – 7b + 12c}
= 29a + 9b – 6c – 16a – 5b + 2c – 6a + 7b – 12c
= 7a + 11b – 16c
Next Chapter Solution :
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