Fundamental Concepts of Algebra Class 6 RS Aggarwal Exe-12B Goyal Brothers ICSE Maths Solutions Ch-12. We provide step by step Solutions of Algebraic Expression for ICSE Class-6 Foundation RS Aggarwal of Goyal Brothers Prakashan . Visit official Website CISCE for detail information about ICSE Board Class-6 Mathematics.
Fundamental Concepts of Algebra Class 6 RS Aggarwal Exe-12B Goyal Brothers ICSE Maths Solutions Ch-12
| Board | ICSE |
| Subject | Maths |
| Class | 6th |
| Ch-12 | Fundamental Concepts of Algebra |
| Writer | RS Aggrawal |
| Book Name | Foundation |
| Exe-12B | Algebraic Expression |
| Academic Session | 2024 – 2025 |
Algebraic Expression
An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.). Expressions are made up of terms
There are 3 main types of algebraic expressions which include:
- Monomial Expression.
- Binomial Expression.
- Polynomial Expression
Exercise- 12B
(Fundamental Concepts of Algebra Class 6 RS Aggarwal Exe-12B Goyal Brothers ICSE Maths Solutions Ch-12)
Que-1: Write all the terms of each of the following algebraic expressions :
(i) 2+3x (ii) a+2b-3c (iii) 3-2x+5x² (iv) 1-8xyz (v) 2p²-3pq+q²-1 (vi) 3x²-5x+(2/x)-(3/x²) (vii) -5y³+2y²+8y-(3/4) (viii) 2xy+3yz-5zx+(1/9)
Sol: (i) 2,3x
(ii) a,2b,-3c
(iii) 3,-2x,5x²
(iv) 1,-8xyz
(v) 2p²,-3pq,q²,-1
(vi) 3x²,-5x,(2/x),(-3/x²)
(vii) -5y³,2y²,8y,(-3/4)
(viii) 2xy,3yz,-5zx,(1/9)
Que-2: Identify monomials, binomials and trinomials from the following :
(i) 5+x (ii) 5x (iii) 5/x (iv) abc (v) a+b+c (vi) -8x (vii) x²+x-(1/2) (viii) 3x+(y/2) (ix) 3-(y/2)+z
Sol: (i) binomial
(ii) monomial
(iii) monomial
(iv) monomial
(v) trinomial
(vi) monomial
(vii) trinomial
(viii) binomial
(ix) trinomial
Que-3: Write the coefficient of :
(i) a in -5ab² (ii) p in -px (iii) x in -x (iv) x in (1/3)xy (v) xz in -3xyz (vi) p in abcp (vii) y² in -6axy² (viii) abc in abc (ix) x²y in 8abx²yz
Sol: (i) -5b²
(ii) -x
(iii) -1
(iv) (1/3)y
(v) -3y
(vi) abc
(vii) -6ax
(viii) 1
(ix) 8abz
Que-4: Write down the numerical as well as literal coefficient of each of the following monomials :
(i) 9a²b (ii) -3xyz² (iii) (3/5)apq (iv) (-7/2)pqr (v) -a³b²c (vi) xy²z³
Sol: (i) 9, a²b
(ii) -3, xyz²
(iii) 3/5, apq
(iv) -7/2, pqr
(v) -1, a³b²c
(vi) 1, xy²z³
Que-5: Write all the factors of :
(i) 3a (ii) -x (iii) ab (iv) 3pq²
Sol: (i) 3, a
(ii) -1, x , -x
(iii) a, b, ab
(iv) 3, p, q, pq, pq²
Que-6: Group the like terms together :
(i) 5x, -6y, (3x/5), -y, (5y/7), x, (-1y/2)
(ii) xy², -3x²y, 5y²x, (2/3)yx², (-3/5)xy²
(iii) 2p²q, -3pq², 8qp², 6p²q², 7q²p, -8q²p²
Sol: (i) [5x,(3x/5),x], [-6y,-y,(5y/7),(-1y/2)]
(ii) [xy²,5y²x,(-3xy²/5)], [-3x²y,(2yx²/3)]
(iii) [2p²q,8qp²], [-3pq²,7q²p], [6p²q²,-8q²p²]
Que-7: State true or false :
(i) The expression 8a has 2 terms
(ii) 6 + xy is a trinomial
(iii) 3ab is a binomial
(iv) 5xy and 6axy are unlike terms
(v) a²b and -ba² are like terms
(vi) xy and -yx are like terms
(vii) 6 and 6p are like terrms
(viii) x and -x are unlike terms
(ix) -yx and 2yx are like terms
(x) The coefficient of y in -5xy is -5.
Sol: (i) True
(ii) False
(iii) False
(iv) True
(v) True
(vi) False
— : End of Fundamental Concepts of Algebra Class 6 RS Aggarwal Exe-12B :–
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