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**Joy of Mathematics Class 6 Solutions Chapter 9 Fundamental Concepts of Algebra**

Welcome to NCTB Solution. Here with this post we are going to help 6th class students for the Solutions of Joy of Mathematics Class 6 Book, Chapter 9 Fundamental Concepts of Algebra. Here students can easily find step by step solutions of all the problems for Fundamental Concepts of Algebra. Exercise wise proper solutions for every problems. All the problem are solved with easily understandable methods so that all the students can understand easily. Students will get chapter 9 solutions. Here students will find exercise wise solutions for chapter 9 Exercise 9.1 and 9.2

**Fundamental Concepts of Algebra Exercise 9.1 Solution :**

**Question no – (1) **

**Solution :**

**(a)** a + 10

**(b)** x – 12

**(c)** a – b

**(d)** 5x + 9y

**(f)** (a + b) – 3

**(g)** 35 – x2

**Question no – (2) **

**Solution :**

**(a)** x multiplied by four is added to three tines of y.

**(b)** Four times the difference between two times a and 3 times ‘b’.

**(c)** Four times the product a, b, c.

**(d)** Sum of two times ‘x’ and p divided by ‘q.

**(e)** The sum of two times and three times q.

**(f)** The difference between seventeen times x, and the sum of 4 times ‘y’ and 5 times ‘z’.

**(g)** x multiplied by the sum of times of ‘P’ three times of q and ‘c’.

**(h)** The product of ‘x’ and y multiplied by 24.

**Question no – (3)**

**Solution :**

Total pencils,

= x × y

= xy

**Question no – (4)**

**Solution :**

Weight carry,

= 9 × x

= 9x kg

**Question no – (5)**

**Solution :**

Apples are packed in each cartoon

= 120/x

**Question no – (6)**

**Solution :**

Let, no be ‘x’

**∴** (3x + 4)

**Question no – (7)**

**Solution :**

Weight of x apple and y oranges

= 150x + 75y

**Question no – (8)**

**Solution :**

Loss,

= (x – y) Rs

**Question no – (9)**

**Solution :**

Time taken,

= x/45 hour

**Question no – (10)**

**Solution :**

Total cost,

= (3a + b) Rs

**Question no – (11)**

**Solution :**

Distance covered in 5 hour

= 5x km

**Question no – (12)**

**Solution :**

Total toffees,

= (x + 10)

**Question no – (13)**

**Solution :**

Expression,

= (5.50 p + 150)

**Fundamental Concepts of Algebra Exercise 9.2 Solution :**

**Question no – (1) **

**Solution :**

**(a)** 5y

**(b)** – 7bc

**(c)** – 1

**(d)** – ac

**Question no – (2)**

**Solution : **

**(a)** It is a Binomials.

**(b)** It is a Monomials.

**(c)** It is a Trinomials.

**(d)** It is a Monomials.

**(e)** It is a Trinomials.

**(f)** It is a Monomials.

**(g)** It is a Monomials.

**(h)** It is a Binomials.

**(i)** It is a Monomials.

**(j)** It is a Binomials.

**(k)** It is a Binomials.

**(l)** It is a Polynomials.

**Question no – (3) **

**Solution :**

Like terms,

= 2a^{2}b, 12a^{2}b

= 5abc^{2}, 10abc^{2},

= – a^{2}b^{2}, 6a^{2}b^{2}

= 4a^{2}b^{2}c^{2}, – 6a2b2c2

Unlike terms = 10ab^{3}, b^{2}c^{2}, – 5a^{2}b^{3}

= – 10bc^{2}

**Question no – (4) **

**Solution :**

Literal factor : |
Numeral factor : |

(a) 7 | x^{3}y^{3}2 |

(b) 8 | pq^{3}r^{8} |

(c) – 19 | x^{2}y^{2} |

(d) – 26 | xyz^{3} |

(e) – 32 | x^{3}y^{3}z |

**Question no – (5)**

**Solution :**

Option (c) and (d) contain like terms

**(c)** x^{2}y, – 7x^{2}y

**(d)** x^{2}, – 3x^{2}

**Question no – (6) **

**Solution :**

Numerical coefficient 5/2 and 21.

**Question no – (7) **

**Solution :**

**(a) Terms,**

= xyz, xy^{2}x, xyz^{2 }

= Trinomial

**(b) Terms = x ^{3}, 1/x, 3x, 3/x**

= [This is not Polynomials]

**(c) Terms = a ^{2}, b^{2}, c^{2} 3avbc/5,**

= Polynomial

**(d) Terms = x ^{2}y^{2}, 4/5x^{2}, 7**

= Trinomial

**(e) Terms**

= 1/2x, 3/4y^{2}, 4/5x^{2}y^{3}

= Trinomial

**(f) Terms**

= x,y, xy^{2}, 2/5y^{3}, 3/4y^{5}

= Polynomial

**Question no – (8) **

**Solution :**

**(a)** Coefficient of a = – 9b^{2}c^{3}

**(b)** Coefficient of 9a = – b^{2}c^{3}

**(c)** Coefficient of – b^{2} = 9ac^{3}

**(d)** Coefficient of b^{2} = – 9ac^{3}

**(e)** Coefficient of c^{3} = – 9ab^{2}

**(f)** Coefficient of ab^{2} = – 9c^{3}

**Question no – (9) **

**Solution :**

**(a)** Given statement is – **False**

**(b)** Given statement is – **True**

**(c)** Given statement is – **False**

**(d)** Given statement is – **False**

**(e)** Given statement is – **True**

**(f)** Given statement is – **False**

**Question no – (10) **

**Solution :**

**(a)** Here the degree is = 3

**(b)** Here the degree is = 1

**(c)** Here the degree is = 1

**(d)** Here the degree is = 4

**(e)** Here the degree is = 3

**(f)** Here the degree is = 2

**(g)** Here the degree is = 7

**(h)** Here the degree is = 22

**Next Chapter Solution : **

👉 Chapter 10 👈