# Selina solutions for Concise Mathematics Class 8 ICSE chapter 11 - Algebraic Expressions [Latest edition]

## Solutions for Chapter 11: Algebraic Expressions

Below listed, you can find solutions for Chapter 11 of CISCE Selina for Concise Mathematics Class 8 ICSE.

Exercise 11 (A)Exercise 11 (B)Exercise 11 (C)Exercise 11 (D)Exercise 11 (E)
Exercise 11 (A) [Page 137]

### Selina solutions for Concise Mathematics Class 8 ICSE Chapter 11 Algebraic Expressions Exercise 11 (A) [Page 137]

Exercise 11 (A) | Q 1 | Page 137

Separate the constants and variables from the following :

-7,7+"x",7"x"+"yz",sqrt5,sqrt("xy"),(3"yz")/8,4.5"y"-3"x",

8 −5, 8 − 5x, 8x −5y × p and 3y2z ÷ 4x

Exercise 11 (A) | Q 2.1 | Page 137

Write the number of the term of the following polynomial.

5x2 + 3 x ax

Exercise 11 (A) | Q 2.2 | Page 137

Write the number of the term of the following polynomial.

ax ÷ 4 – 7

Exercise 11 (A) | Q 2.3 | Page 137

Write the number of the term of the following polynomial.

ax – by + y x z

Exercise 11 (A) | Q 2.4 | Page 137

Write the number of the term of the following polynomial.

23 + a x b ÷ 2

Exercise 11 (A) | Q 3 | Page 137

Separate monomials, binomials, trinomials and polynomials from the following algebraic expressions :

8 − 3x, xy2, 3y2 − 5y + 8, 9x − 3x2 + 15x3 − 7,
3x × 5y, 3x ÷ 5y, 2y ÷ 7 + 3x − 7 and 4 − ax2 + bx + y

Exercise 11 (A) | Q 4.1 | Page 137

Write the degree of a polynomial of the following:

xy + 7z

Exercise 11 (A) | Q 4.2 | Page 137

Write the degree of a polynomial of the following:

x2 − 6x3 + 8

Exercise 11 (A) | Q 4.3 | Page 137

Write the degree of a polynomial of the following:

y − 6y2 + 5y8

Exercise 11 (A) | Q 4.4 | Page 137

Write the degree of a polynomial of the following:

xyz − 3

Exercise 11 (A) | Q 4.5 | Page 137

Write the degree of a polynomial of the following:

xy + yz2 − zx3

Exercise 11 (A) | Q 4.6 | Page 137

Write the degree of a polynomial of the following:

x5y7 – 8x3y8 + 10x4y4z4

Exercise 11 (A) | Q 5.1 | Page 137

Write the coefficient of :
ab in 7abx

Exercise 11 (A) | Q 5.2 | Page 137

Write the coefficient of :
7a in 7abx

Exercise 11 (A) | Q 5.3 | Page 137

Write the coefficient of :
5x2 in 5x2 – 5x

Exercise 11 (A) | Q 5.4 | Page 137

Write the coefficient of :
8 in a2 – 8ax + a

Exercise 11 (A) | Q 5.5 | Page 137

Write the coefficient of :
4xy in x2 – 4xy + y2

Exercise 11 (A) | Q 6.01 | Page 173

In 5/7xy2z3, write the coefficient of 5

Exercise 11 (A) | Q 6.02 | Page 137

In 5/7xy2z3, write the coefficient of 5/7

Exercise 11 (A) | Q 6.03 | Page 137

In 5/7xy2z3, write the coefficient of 5x

Exercise 11 (A) | Q 6.04 | Page 137

In 5/7xy2z3, write the coefficient of xy2

Exercise 11 (A) | Q 6.05 | Page 137

In 5/7xy2z3, write the coefficient of z3

Exercise 11 (A) | Q 6.06 | Page 137

In 5/7xy2z3, write the coefficient of xz3

Exercise 11 (A) | Q 6.07 | Page 137

In 5/7xy2z3, write the coefficient of 5xy2

Exercise 11 (A) | Q 6.08 | Page 137

In 5/7xy2z3, write the coefficient of 1/7 yz

Exercise 11 (A) | Q 6.09 | Page 137

In 5/7xy2z3, write the coefficient of z

Exercise 11 (A) | Q 6.1 | Page 137

In 5/7xy2z3, write the coefficient of yz2

Exercise 11 (A) | Q 6.11 | Page 137

In 5/7 xy2z3, write the coefficient of 5xyz

Exercise 11 (A) | Q 7.1 | Page 137

In the polynomial, given below, separate the like terms :

3xy, − 4yx2, 2xy2, 2.5x2y, −8yx, −3.2y2x and x2y

Exercise 11 (A) | Q 7.2 | Page 137

In the polynomial, given below, separate the like terms :

y2z3, xy2z3, −5x2yz, −4y2z3, −8xz3y2, 3x2yz and 2z3y2

Exercise 11 (B) [Page 140]

### Selina solutions for Concise Mathematics Class 8 ICSE Chapter 11 Algebraic Expressions Exercise 11 (B) [Page 140]

Exercise 11 (B) | Q 1.1 | Page 140

Evaluate :

−7x2 + 18x2 + 3x2 − 5x2

Exercise 11 (B) | Q 1.2 | Page 140

Evaluate :

b2y − 9b2y + 2b2y − 5b2y

Exercise 11 (B) | Q 1.3 | Page 140

Evaluate :

abx − 15abx − 10abx + 32abx

Exercise 11 (B) | Q 1.4 | Page 140

Evaluate :

7x − 9y + 3 − 3x − 5y + 8

Exercise 11 (B) | Q 1.5 | Page 140

Evaluate :

3x2 + 5xy − 4y2 + x2 − 8xy − 5y2

Exercise 11 (B) | Q 2.1 | Page 140

Add : 5a + 3b, a − 2b, 3a + 5b

Exercise 11 (B) | Q 2.2 | Page 140

Add : 8x − 3y + 7z, −4x + 5y − 4z, −x − y − 2z

Exercise 11 (B) | Q 2.3 | Page 140

Add : 3b − 7c + 10, 5c −  2b −  15, 15 + 12c + b

Exercise 11 (B) | Q 2.4 | Page 140

Add : a − 3b + 3; 2a + 5 − 3c; 6c − 15 + 6b

Exercise 11 (B) | Q 2.5 | Page 140

Add : 13ab − 9cd − xy, 5xy, 15cd − 7ab, 6xy − 3cd

Exercise 11 (B) | Q 2.6 | Page 140

Add : x3 − x2y + 5xy2 + y3, - x3 − 9xy2 + y3, 3x2y + 9xy2

Exercise 11 (B) | Q 3 | Page 140

Find the total savings of a boy who saves ₹ (4x – 6y), ₹ (6x + 2y), ₹ (4y – x) and ₹ (y – 2x) for four consecutive weeks.

Exercise 11 (B) | Q 4.1 | Page 140

Subtract : 4xy2 from 3xy2

Exercise 11 (B) | Q 4.2 | Page 140

Subtract : −2x2y + 3xy2 from 8x2y

Exercise 11 (B) | Q 4.3 | Page 140

Subtract : 3a − 5b + c + 2d from 7a − 3b + c − 2d

Exercise 11 (B) | Q 4.4 | Page 140

Subtract : x3 − 4x − 1 from 3x3 − x2 + 6

Exercise 11 (B) | Q 4.5 | Page 140

Subtract : 6a + 3 from a3 − 3a2 + 4a + 1

Exercise 11 (B) | Q 4.6 | Page 140

Subtract : cab − 4cad − cbd from 3abc + 5bcd − cda

Exercise 11 (B) | Q 4.7 | Page 140

Subtract : a2 + ab + b2 from 4a2 − 3ab + 2b2

Exercise 11 (B) | Q 5.1 | Page 140

Take away – 3x3 + 4x2 – 5x+ 6 from 3x3 – 4x2 + 5x – 6

Exercise 11 (B) | Q 5.2 | Page 140

Take m2 + m + 4 from −m2 + 3m + 6 and the result from m2 + m + 1.

Exercise 11 (B) | Q 6 | Page 140

Subtract the sum of 5y2 + y – 3 and y2 – 3y + 7 from 6y2 + y – 2.

Exercise 11 (B) | Q 7 | Page 140

What must be added to x4 – x3 + x2 + x + 3 to obtain x4 + x2 – 1 ?

Exercise 11 (B) | Q 8.1 | Page 140

How much more than 2x2 + 4xy + 2y2 is 5x2 + 10xy – y2 ?

Exercise 11 (B) | Q 8.2 | Page 140

How much less 2a2 + 1 is than 3a2 – 6 ?

Exercise 11 (B) | Q 9 | Page 140

If x = 6a + 86 + 9c ; y = 2b – 3a – 6c and z = c – b + 3a ; find :
(i) x + y + z
(ii) x – y + z
(iii) 2x – y – 3z
(iv) 3y – 2z – 5x

Exercise 11 (B) | Q 10 | Page 140

The sides of a triangle are x2 – 3xy + 8, 4x2 + 5xy – 3 and 6 – 3x2 + 4xy. Find its perimeter.

Exercise 11 (B) | Q 11 | Page 140

The perimeter of a triangle is 8y2 – 9y + 4 and its two sides are 3y2 – 5y and 4y2 + 12. Find its third side.

Exercise 11 (B) | Q 12 | Page 140

The two adjacent sides of a rectangle are 2x2 – 5xy + 3z2 and 4xy – x2 – z2. Find its perimeter.

Exercise 11 (B) | Q 13 | Page 140

What must be subtracted from 19x4 + 2x3 + 30x – 37 to get 8x4 + 22x3 – 7x – 60 ?

Exercise 11 (B) | Q 14 | Page 140

How much smaller is 15x – 18y + 19z than 22x – 20y – 13z + 26 ?

Exercise 11 (B) | Q 15 | Page 140

How much bigger is 5x2y2 – 18xy2 – 10x2y than –5x2 + 6x2y – 7xy?

Exercise 11 (C) [Page 143]

### Selina solutions for Concise Mathematics Class 8 ICSE Chapter 11 Algebraic Expressions Exercise 11 (C) [Page 143]

Exercise 11 (C) | Q 1.01 | Page 143

Multiply : 8ab2 by − 4a3b4

Exercise 11 (C) | Q 1.02 | Page 143

Multiply: 2/3"ab" by -1/4 "a"^2"b"

Exercise 11 (C) | Q 1.03 | Page 143

Multiply: −5cd2 by − 5cd2

Exercise 11 (C) | Q 1.04 | Page 143

Multiply: 4a and 6a + 7

Exercise 11 (C) | Q 1.05 | Page 143

Multiply: −8x and 4 − 2x − x2

Exercise 11 (C) | Q 1.06 | Page 143

Multiply: 2a2 − 5a − 4 and −3a

Exercise 11 (C) | Q 1.07 | Page 143

Multiply: x + 4 by x − 5

Exercise 11 (C) | Q 1.08 | Page 143

Multiply: 5a − 1 by 7a − 3

Exercise 11 (C) | Q 1.09 | Page 143

Multiply: 12a + 5b by 7a − b

Exercise 11 (C) | Q 1.1 | Page 143

Multiply: x2+ x + 1 by 1 − x

Exercise 11 (C) | Q 1.11 | Page 143

Multiply: 2m2 − 3m − 1 and 4m2 − m − 1

Exercise 11 (C) | Q 1.12 | Page 143

Multiply: a2, ab and b2

Exercise 11 (C) | Q 1.13 | Page 143

Multiply: abx, −3a2x and 7b2x3

Exercise 11 (C) | Q 1.14 | Page 143

Multiply: −3bx, −5xy and −7b3y2

Exercise 11 (C) | Q 1.15 | Page 143

Multiply: -3/2"x"^5"y"^3 and 4/9"a"^2"x"3"y"

Exercise 11 (C) | Q 1.16 | Page 143

Multiply: -2/3"a"^7"b"^2 and -9/4"a""b"^5

Exercise 11 (C) | Q 1.17 | Page 143

Multiply: 2"a"^3-3"a"^2"b" and -1/2"ab"^2

Exercise 11 (C) | Q 1.18 | Page 143

Multiply: 2"x"+1/2"y" and 2"x"-1/2"y"

Exercise 11 (C) | Q 2.1 | Page 143

Multiply: 5x2 - 8xy + 6y2 - 3by - 3xy

Exercise 11 (C) | Q 2.2 | Page 143

Multiply: 3-2/3 "xy"+5/7 "xy"^2-16/21 "x"^2"y" by − 21"x"^2"y"^2

Exercise 11 (C) | Q 2.3 | Page 143

Multiply: 6x3 − 5x + 10 by 4 − 3x2

Exercise 11 (C) | Q 2.4 | Page 143

Multiply: 2y − 4y3 + 6y5 by y2 + y − 3

Exercise 11 (C) | Q 2.5 | Page 143

Multiply: 5p2 + 25pq + 4q2 by 2p2 − 2pq +3q2

Exercise 11 (C) | Q 3.1 | Page 143

Simplify : (7x – 8) (3x + 2)

Exercise 11 (C) | Q 3.2 | Page 143

Simplify : (px – q) (px + q)

Exercise 11 (C) | Q 3.3 | Page 143

Simplify : (5a + 5b – c) (2b – 3c)

Exercise 11 (C) | Q 3.4 | Page 143

Simplify :  (4x – 5y) (5x – 4y)

Exercise 11 (C) | Q 3.5 | Page 143

Simplify : (3y + 4z) (3y – 4z) + (2y + 7z) (y + z)

Exercise 11 (C) | Q 4 | Page 143

The adjacent sides of a rectangle are x2 – 4xy + 7y2 and x3 – 5xy2. Find its area.

Exercise 11 (C) | Q 5 | Page 143

The base and the altitude of a triangle are (3x – 4y) and (6x + 5y) respectively. Find its area.

Exercise 11 (C) | Q 6 | Page 143

Multiply -4xy3 and 6x2y and verify your result for x = 2 and y= 1.

Exercise 11 (C) | Q 7 | Page 143

Find the value of (3x3) × (-5xy2) × (2x2yz3) for x = 1, y = 2 and z = 3.

Exercise 11 (C) | Q 8 | Page 143

Evaluate (3x4y2) (2x2y3) for x = 1 and y = 2.

Exercise 11 (C) | Q 9 | Page 143

Evaluate (x5) × (3x2) × (-2x) for x = 1.

Exercise 11 (C) | Q 10 | Page 143

If x = 2 and y = 1; find the value of (−4x2y3) × (−5x2y5).

Exercise 11 (C) | Q 11.1 | Page 143

Evaluate: (3x – 2)(x + 5) for x = 2.

Exercise 11 (C) | Q 11.2 | Page 143

Evaluate: (2x – 5y)(2x + 3y) for x = 2 and y = 3.

Exercise 11 (C) | Q 11.3 | Page 143

Evaluate: xz (x2 + y2) for x = 2, y = 1 and z= 1.

Exercise 11 (C) | Q 12.1 | Page 143

Evaluate: x(x – 5) + 2 for x = 1.

Exercise 11 (C) | Q 12.2 | Page 143

Evaluate: xy2(x – 5y) + 1 for x = 2 and y = 1.

Exercise 11 (C) | Q 12.3 | Page 143

Evaluate: 2x(3x – 5) – 5(x – 2) – 18 for x = 2.

Exercise 11 (C) | Q 13 | Page 143

Multiply and then verify :
−3x2y2 and (x – 2y) for x = 1 and y = 2.

Exercise 11 (C) | Q 14.1 | Page 143

Multiply: 2x2 – 4x + 5 by x2 + 3x – 7

Exercise 11 (C) | Q 14.2 | Page 143

Multiply:  (ab – 1) (3 – 2ab)

Exercise 11 (C) | Q 15 | Page 143

Simplify : (5 – x) (6 – 5x) (2 -x).

Exercise 11 (D) [Pages 145 - 146]

### Selina solutions for Concise Mathematics Class 8 ICSE Chapter 11 Algebraic Expressions Exercise 11 (D) [Pages 145 - 146]

Exercise 11 (D) | Q 1.01 | Page 145

Divide: −70a3 by 14a2

Exercise 11 (D) | Q 1.02 | Page 145

Divide: 24x3y3 by −8y2

Exercise 11 (D) | Q 1.03 | Page 145

Divide: 15a4b by −5a3b

Exercise 11 (D) | Q 1.04 | Page 145

Divide: −24x4d3 by −2x2d5

Exercise 11 (D) | Q 1.05 | Page 145

Divide: 63a4b5c6 by −9a2b4c3

Exercise 11 (D) | Q 1.06 | Page 145

Divide: 8x − 10y + 6c by 2

Exercise 11 (D) | Q 1.07 | Page 145

Divide: 15a3b4 − 10a4b3 − 25a3b6 by −5a3b2

Exercise 11 (D) | Q 1.08 | Page 145

Divide: −14x6y3 − 21x4y5 + 7x5y4 by 7x2y2

Exercise 11 (D) | Q 1.09 | Page 145

Divide: a2 + 7a + 12 by a + 4

Exercise 11 (D) | Q 1.1 | Page 145

Divide: x2 + 3x − 54 by x − 6

Exercise 11 (D) | Q 1.11 | Page 145

Divide: 12x2 + 7xy − 12y2 by 3x + 4y

Exercise 11 (D) | Q 1.12 | Page 145

Divide: x6 − 8 by x2 − 2

Exercise 11 (D) | Q 1.13 | Page 145

Divide: 6x3 − 13x2 − 13x + 30 by 2x2 − x − 6

Exercise 11 (D) | Q 1.14 | Page 145

Divide: 4a2 + 12ab + 9b2 − 25c2 by 2a + 3b + 5c

Exercise 11 (D) | Q 1.15 | Page 145

Divide: 16 + 8x + x6 − 8x3 − 2x4 + x2 by x + 4 − x3

Exercise 11 (D) | Q 2.1 | Page 146

Find the quotient and the remainder when :
a3 − 5a2 + 8a + 15 is divided by a + 1. verify your answer.

Exercise 11 (D) | Q 2.2 | Page 146

Find the quotient and the remainder when :
3x4 + 6x3 − 6x2 + 2x − 7 is divided by x − 3. verify your answer.

Exercise 11 (D) | Q 2.3 | Page 146

Find the quotient and the remainder when :
6x2 + x  − 15 is divided by 3x + 5. verify your answer.

Exercise 11 (D) | Q 3 | Page 146

The area of a rectangle is x3 – 8x + 7 and one of its sides is x – 1. Find the length of the adjacent side.

Exercise 11 (D) | Q 4 | Page 146

The product of two numbers-is 16x4 – 1. If one number is 2x – 1, find the other.

Exercise 11 (D) | Q 5 | Page 146

Divide x6 – y6 by the product of x2 + xy + y2 and x – y.

Exercise 11 (E) [Page 147]

### Selina solutions for Concise Mathematics Class 8 ICSE Chapter 11 Algebraic Expressions Exercise 11 (E) [Page 147]

Exercise 11 (E) | Q 1.01 | Page 147

Simplify : a2 − 2a + {5a2 − (3a - 4a2)}

Exercise 11 (E) | Q 1.02 | Page 147

Simplify : "x" − "y" − {"x" − "y" − ("x" + "y") −overline("x"-"y")}

Exercise 11 (E) | Q 1.03 | Page 147

Simplify : −3 (1 − x2) − 2{x2 − (3 − 2x2)}

Exercise 11 (E) | Q 1.04 | Page 147

Simplify : 2{"m"-3("n"+overline("m"-2"n"))}

Exercise 11 (E) | Q 1.05 | Page 147

Simplify : 3"x"-[3"x"-{3"x"-(3"x"-overline(3"x"-"y"))}]

Exercise 11 (E) | Q 1.06 | Page 147

Simplify : "p"^2"x"-2{"px"-3"x"("x"^2-overline(3"a"-"x"^2))}

Exercise 11 (E) | Q 1.07 | Page 147

Simplify : 2[6 + 4 {"m"-6(7 - overline("n"+"p")) + "q"}]

Exercise 11 (E) | Q 1.08 | Page 147

Simplify : "a"-["a"-overline("b+a") - {"a"-("a"- overline("b"-"a"))}]

Exercise 11 (E) | Q 1.09 | Page 147

Simplify : 3"x"-[4"x"-overline(3"x"-5"y")-3  {2"x"-(3"x"-overline(2"x"-3"y"))}]

Exercise 11 (E) | Q 1.1 | Page 147

Simplify: a5 ÷ a3 + 3a × 2a

Exercise 11 (E) | Q 1.11 | Page 147

Simplify: x5 ÷ (x2 × y2) × y3

Exercise 11 (E) | Q 1.12 | Page 147

Simplify: (x5 ÷ x2) × y2 × y3

Exercise 11 (E) | Q 1.13 | Page 147

Simplify: (y3 − 5y2) ÷ y × (y − 1)

Exercise 11 (E) | Q 1.14 | Page 147

Simplify: 3"a"xx[8"b" ÷ 4-6{"a"-(5"a"-overline(3"b"-2"a"))} ]

Exercise 11 (E) | Q 1.15 | Page 147

Simplify: 7x + 4 {x2 ÷ (5x ÷ 10)} − 3 {2 − x3 ÷ (3x2 ÷ x)}

## Solutions for Chapter 11: Algebraic Expressions

Exercise 11 (A)Exercise 11 (B)Exercise 11 (C)Exercise 11 (D)Exercise 11 (E)

## Selina solutions for Concise Mathematics Class 8 ICSE chapter 11 - Algebraic Expressions

Shaalaa.com has the CISCE Mathematics Concise Mathematics Class 8 ICSE CISCE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. Selina solutions for Mathematics Concise Mathematics Class 8 ICSE CISCE 11 (Algebraic Expressions) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

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Concepts covered in Concise Mathematics Class 8 ICSE chapter 11 Algebraic Expressions are Degree of Polynomial, Product , Factor and Coefficient, Combining like Terms, Multiplying Monomial by Monomials, Multiplying a Polynomial by a Polynomial, Simplification of Expressions, Multiplying a Monomial by a Polynomial, Dividing a Polynomial by a Monomial, Dividing a Polynomial by a Polynomial, Dividing a Monomial by a Monomial, Like and Unlike Terms, Algebraic Expressions.

Using Selina Concise Mathematics Class 8 ICSE solutions Algebraic Expressions exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in Selina Solutions are essential questions that can be asked in the final exam. Maximum CISCE Concise Mathematics Class 8 ICSE students prefer Selina Textbook Solutions to score more in exams.

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