Chapters
Chapter 2: Linear Equations in One Variable
Chapter 3: Understanding Quadrilaterals
Chapter 4: Practical Geometry
Chapter 5: Data Handling
Chapter 6: Squares and Square Roots
Chapter 7: Cubes and Cube Roots
Chapter 8: Comparing Quantities
Chapter 9: Algebraic Expressions and Identities
Chapter 10: Visualising Solid Shapes
Chapter 11: Mensuration
Chapter 12: Exponents and Powers
Chapter 13: Direct and Inverse Proportions
Chapter 14: Factorisation
Chapter 15: Introduction to Graphs
Chapter 16: Playing with Numbers
Chapter 9: Algebraic Expressions and Identities
NCERT solutions for Class 8 Maths Chapter 9 Algebraic Expressions and IdentitiesExercise 9.1 [Page 140]
Identify the terms, their coefficients for the following expressions.
5xyz^{2} − 3zy
Identify the terms, their coefficients for the following expressions.
1 + x + x^{2}
Identify the terms, their coefficients for the following expressions.
4x^{2}y^{2} − 4x^{2}y^{2}z^{2} + z^{2}
Identify the terms, their coefficients for the following expressions.
3 − pq + qr − rp
Identify the terms, their coefficients for the following expressions.
`x/2 + y/2 - xy`
Identify the terms, their coefficients for the following expressions.
0.3a − 0.6ab + 0.5b
Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any of these three categories?
x + y, 1000, x + x^{2} + x^{3} + x^{4}, 7 + y + 5x, 2y − 3y^{2}, 2y − 3y^{2} + 4y^{3}, 5x − 4y + 3xy, 4z − 15z^{2}, ab + bc + cd + da, pqr, p^{2}q + pq^{2}, 2p + 2q
Add the following. ab − bc, bc − ca, ca − ab
Add the following a − b + ab, b − c + bc, c − a + ac
Add the following 2p^{2}q^{2} − 3pq + 4, 5 + 7pq − 3p^{2}q^{2}
Add the following. l^{2} + m^{2}, m^{2} + n^{2}, n^{2} + l^{2}, 2lm + 2mn + 2nl
Subtract 4a − 7ab + 3b + 12 from 12a − 9ab + 5b − 3
Subtract 3xy + 5yz − 7zx from 5xy − 2yz − 2zx + 10xyz
Subtract 4p^{2}q − 3pq + 5pq^{2} − 8p + 7q − 10 from 18 − 3p − 11q + 5pq − 2pq^{2} + 5p^{2}q
NCERT solutions for Class 8 Maths Chapter 9 Algebraic Expressions and IdentitiesExercise 9.2 [Pages 143 - 144]
Find the product of the given pairs of monomials.
4, 7p
Find the product of the given pairs of monomials.
− 4p, 7p
Find the product of the given pairs of monomials.
− 4p, 7pq
Find the product of the given pairs of monomials.
4p^{3}, − 3p
Find the product of the given pairs of monomials.
4p, 0
Find the areas of rectangles with the following pairs of monomials as their lengths and breadths respectively.
(p, q); (10m, 5n); (20x^{2}, 5y^{2}); (4x, 3x^{2}); (3mn, 4np)
Complete the table of products.
First monomial → Second monomial ↓ |
2x | –5y | 3x^{2} | – 4xy | 7x^{2}y | –9x^{2}y^{2} |
2x | 4x^{2} | ... | ... | ... | ... | ... |
–5y | ... | ... | –15x^{2}y | ... | ... | ... |
3x^{2} | ... | ... | ... | ... | ... | ... |
– 4xy | ... | ... | ... | ... | ... | ... |
7x^{2}y | ... | ... | ... | ... | ... | ... |
–9x^{2}y^{2} | ... | ... | ... | ... | ... | ... |
Obtain the volume of rectangular boxes with the following length, breadth and height respectively.
5a, 3a^{2}, 7a^{4}
Obtain the volume of rectangular boxes with the following length, breadth and height respectively.
2p, 4q, 8r
Obtain the volume of rectangular boxes with the following length, breadth and height respectively.
xy, 2x^{2}y, 2xy^{2}
Obtain the volume of rectangular boxes with the following length, breadth and height respectively.
a, 2b, 3c
Obtain the product of xy, yz, zx
Obtain the product of a, − a^{2}, a^{3}
Obtain the product of 2, 4y, 8y^{2}, 16y^{3}
Obtain the product of a, 2b, 3c, 6abc
Obtain the product of m, − mn, mnp
NCERT solutions for Class 8 Maths Chapter 9 Algebraic Expressions and IdentitiesExercise 9.3 [Page 146]
Carry out the multiplication of the expressions of the following pairs.
4p, q + r
Carry out the multiplication of the expressions of the following pairs.
ab, a − b
Carry out the multiplication of the expressions of the following pairs.
a + b, 7a^{2}b^{2}
Carry out the multiplication of the expressions of the following pairs.
a^{2} − 9, 4a
Carry out the multiplication of the expressions of the following pairs.
pq + qr + rp, 0
Complete the table
First expression | Second Expression | Product | |
1 | a | b + c + d | - |
2 | x + y − 5 | 5 xy | - |
3 | p | 6p^{2 }− 7p + 5 | - |
4 | 4p^{2}q^{2} | p^{2 }− q^{2} | - |
5 | a + b + c | abc | - |
Find the product (a^{2}) × (2a^{22}) × (4a^{26})
Find the product `(2/3 xy) xx ((-9)/10 x^2y^2)`
Find the product `(-10/3 pq^3) xx (6/5p^3q)`
Find the product x × x^{2} × x^{3} × x^{4}
Simplify 3x (4x −5) + 3 and find its values for (1) x = 3, (2) x = `1/2`.
a (a^{2} + a + 1) + 5 and find its values for (1) a = 0, (2) a = 1, (3) a = − 1.
Add: p (p − q), q (q _{}− r) and r (r − p)
Add: 2x (z − x − y) and 2y (z − y − x)
Subtract: 3l (l − 4m + 5n) from 4l (10n − 3m + 2l)
Subtract: 3a (a + b + c) − 2b (a − b + c) from 4c (− a + b + c)
NCERT solutions for Class 8 Maths Chapter 9 Algebraic Expressions and IdentitiesExercise 9.4 [Page 148]
Multiply the binomials (2x + 5) and (4x − 3)
Multiply the binomials (y − 8) and (3y − 4)
Multiply the binomials (2.5l − 0.5m) and (2.5l + 0.5m)
Multiply the binomials (a + 3b) and (x + 5)
Multiply the binomials (2pq + 3q^{2}) and (3pq − 2q^{2})
Multiply the binomials `(3/4 a^2 + 3b^2) and 4(a^2 - 2/3 b^2)`
Find the product (5 − 2x) (3 + x)
Find the product (x + 7y) (7x − y)
Find the product (a^{2} + b) (a + b^{2})
Find the product (p^{2} − q^{2}) (2p + q)
Simplify (x^{2} − 5) (x + 5) + 25
Simplify (a^{2} + 5) (b^{3} + 3) + 5
Simplify (t + s^{2}) (t^{2} − s)
Simplify (a + b) (c − d) + (a − b) (c + d) + 2 (ac + bd)
Simplify (x + y) (2x + y) + (x + 2y) (x − y)
Simplify (x + y) (x^{2} − xy + y^{2})
Simplify (1.5x − 4y) (1.5x + 4y + 3) − 4.5x + 12y
Simplify (a + b + c) (a + b − c)
NCERT solutions for Class 8 Maths Chapter 9 Algebraic Expressions and IdentitiesExercise 9.5 [Pages 151 - 152]
Use a suitable identity to get the following products.
(x + 3) (x + 3)
Use a suitable identity to get the following products.
(2y + 5) (2y + 5)
Use a suitable identity to get the following products
(2a − 7) (2a − 7)
Use a suitable identity to get the following products.
`(3a - 1/2)(3a - 1/2)`
Use a suitable identity to get the following products.
(1.1m − 0.4) (1.1 m + 0.4)
Use a suitable identity to get the following products.
(a^{2} + b^{2}) (− a^{2} + b^{2})
Use a suitable identity to get the following products.
(6x − 7) (6x + 7)
Use a suitable identity to get the following products.
(− a + c) (− a + c)
Use a suitable identity to get the following products.
`(x/2 + (3y)/4)(x/2 + (3y)/4)`
Use a suitable identity to get the following products.
(7a − 9b) (7a − 9b)
Find the following squares by suing the identities.
(b − 7)^{2 }
Find the following squares by suing the identities
(xy + 3z)^{2}
Find the following squares by suing the identities.
(6x^{2} − 5y)^{2}
Find the following squares by suing the identities.
`(2/3 m + 3/4 n)^2`
Find the following squares by suing the identities
(0.4p − 0.5q)^{2}
Find the following squares by suing the identities.
(2xy + 5y)^{2}
Simplify (a^{2} − b^{2})^{2}
Simplify (2x +5)^{2} − (2x − 5)^{2}
Simplify (7m − 8n)^{2} + (7m + 8n)^{2}
Simplify (4m + 5n)^{2} + (5m + 4n)^{2}
Simplify (2.5p − 1.5q)^{2} − (1.5p − 2.5q)^{2}
Simplify (ab + bc)^{2} − 2ab^{2}c
Simplify (m^{2} − n^{2}m)^{2} + 2m^{3}n^{2}
Show that (3x + 7)^{2} − 84x = (3x − 7)^{2}
Show that (9p - 5q)^{2} + 180pq = (9p + 5q)^{2}
Show that `(4/3 m - 3/4 n)^2 + 2mn = 16/9 m^2 + 9/16 n^2`
Show that `(4pq + 3q)^2 - (4pq - 3q)^2 = 48pq^2`
Show that (a - b)(a + b) + (b - c) (b + c) + (c - a) (c + a) = 0
Using identities, evaluate 71^{2}
Using identities, evaluate 99^{2}
Using identities, evaluate 102^{2}
Using identities, evaluate 998^{2}
Using identities, evaluate (5.2)^{2}
Using identities, evaluate 297 × 303
Using identities, evaluate 78 × 82
Using identities, evaluate 8.9^{2}
Using identities, evaluate 1.05 × 9.5
Using a^{2 }− b^{2} = (a + b) (a − b), find 51^{2} − 49^{2}
Using a^{2 }− b^{2} = (a + b) (a − b), find (1.02)^{2} − (0.98)^{2}
Using a^{2 }− b^{2} = (a + b) (a − b), find 153^{2} − 147^{2}
Using a^{2 }− b^{2} = (a + b) (a − b), find 12.1^{2} − 7.9^{2}
Using (x + a) (x + b) = x^{2} + (a + b) x + ab, find 103 × 104
Using (x + a) (x + b) = x^{2} + (a + b) x + ab, find 5.1 × 5.2
Using (x + a) (x + b) = x^{2} + (a + b) x + ab, find 103 × 98
Using (x + a) (x + b) = x^{2} + (a + b) x + ab, find 9.7 × 9.8
Chapter 9: Algebraic Expressions and Identities
NCERT solutions for Class 8 Maths chapter 9 - Algebraic Expressions and Identities
NCERT solutions for Class 8 Maths chapter 9 (Algebraic Expressions and Identities) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the CBSE Class 8 Maths solutions in a manner that help students grasp basic concepts better and faster.
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Concepts covered in Class 8 Maths chapter 9 Algebraic Expressions and Identities are Algebraic Expressions, Terms, Factors and Coefficients of Expression, Types of Algebraic Expressions as Monomials, Binomials, Trinomials Or Polynomials, Multiplying a Monomial by a Binomial, Addition of Algebraic Expressions, Multiplication of Algebraic Expressions, Multiplying Monomial by Monomials, Like and Unlike Terms, Subtraction of Algebraic Expressions, Multiplying a Monomial by a Trinomial, Multiplying a Binomial by a Binomial, Multiplying a Binomial by a Trinomial, Concept of Identity, Expansion of (a + b)2 = a2 + 2ab + b2, Expansion of (a - b)2 = a2 - 2ab + b2, Expansion of (a + b)(a - b), Expansion of (x + a)(x + b).
Using NCERT Class 8 solutions Algebraic Expressions and Identities exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in NCERT Solutions are important questions that can be asked in the final exam. Maximum students of CBSE Class 8 prefer NCERT Textbook Solutions to score more in exam.
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