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

Chapters

Selina solutions for Concise Mathematics Class 8 ICSE chapter 11 - Algebraic Expressions - Shaalaa.com
Advertisements
Advertisements

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

Exercise 11 (A) | Q 6.02 | Page 137

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

Exercise 11 (A) | Q 6.03 | Page 137

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

Exercise 11 (A) | Q 6.04 | Page 137

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

Exercise 11 (A) | Q 6.05 | Page 137

In `5/7`xy2z3, write the coefficient of z3

Exercise 11 (A) | Q 6.06 | Page 137

In `5/7`xy2z3, write the coefficient of xz3

Exercise 11 (A) | Q 6.07 | Page 137

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

Exercise 11 (A) | Q 6.08 | Page 137

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

Exercise 11 (A) | Q 6.09 | Page 137

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

Exercise 11 (A) | Q 6.1 | Page 137

In `5/7`xy2z3, 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

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.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. Selina textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

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.

Get the free view of Chapter 11, Algebraic Expressions Concise Mathematics Class 8 ICSE additional questions for Mathematics Concise Mathematics Class 8 ICSE CISCE, and you can use Shaalaa.com to keep it handy for your exam preparation.

Share
Notifications



      Forgot password?
Use app×