ML Aggarwal Algebra Exe-9.3 Class 6 ICSE Maths Solutions. We Provide Step by Step Answer of Exe-9.3 Questions for Algebra as council prescribe guideline for upcoming board exam. Visit official Website CISCE for detail information about ICSE Board Class-6.

## ML Aggarwal Algebra Exe-9.3 Class 6 ICSE Maths Solutions

Board | ICSE |

Publications | Avichal Publishig Company (APC) |

Subject | Maths |

Class | 6th |

Chapter-9 | Algebra |

Writer | ML Aggarwal |

Book Name | Understanding |

Topics | Solution of Exe-9.3 Questions |

Edition | 2023-2024 |

**Algebra Exe-9.3**

**ML Aggarwal Class 6 ICSE Maths Solutions**

Page-190

**Question 1. Write all the terms of each of the following algebraic expressions:**

(i) 3 – 7x

(ii) 2 – 5a + (3/2)b

(iii) 3x^{5} + 4y^{3} – 7xy^{2} + 3

(iv) 2x^{2} – (3/x) + 5/x^{2} + 9

**Answer:**

(i) 3 – 7x the term is 3, – 7x

(ii) 2 – 5a + (3/2)b the term is 2, – 5a, + (3/2)b

(iii) 3x^{5} + 4y^{3} – 7xy^{2} + 3 the term is 3x^{5} ,+ 4y^{3} ,- 7xy^{2} ,+ 3

(iv) 2x^{2} – (3/x) + 5/x^{2} + 9 the term is 2x^{2} ,- (3/x), + 5/x^{2} ,+ 9

**Question 2. ****Write down the algebraic expression whose terms are :**

(i) 5, -2x

(ii) -3, 5x^{2} , -7x^{5}

(iii) a^{2} , -2b^{2} , 3c^{2} , 7

(iv) 2x, -3/x, 7y/x^{2} , 5z, -1.

**Answer:**

(i) 5, -2x is 2 term

(ii) -3, 5x^{2} , -7x^{5 }– 2 term

(iii) a^{2} , -2b^{2} , 3c^{2} , 7 – 4 term

(iv) 2x, -3/x, 7y/x^{2} , 5z, -1. – 5 term

**Question 3. State the number of terms in each of the following algebraic expressions:**

(i) x ÷ 2 + y – 3

(ii) (2x y -3)/5

(iii) 5 × ab – 7

(iv) 7 × a + b ÷ 3 – c + 5.

**Answer:**

(i) 3 terms

(ii) 3 terms

(iii) 2 terms

(iv) 4 terms

**Question 4. Identify monomials, binomials and trinomials from the following algebraic expressions:**

(i) x^{2} – 2y^{2}

(ii) xy + yz + zx

(iii) 5 + 5x

(iv) 5x

(v) 5/x + 3

(vi) -7

(vii) a^{2} – b^{2} – c^{2} + 5abc

(viii) -5a^{2}b^{2}c^{2}

(ix) 1 + x + x^{2} + x^{3} + x^{2}

(x) x ÷ 5 + y ÷ 3

(xi) 5p × ab

(xii) 3 ÷ a – 2 × b + c.

**Answer:**

(i) binomial

(ii) trinomial

(iii) binomial

(iv) monomial

(v) binomial

(vi) monomial

(vii) multinomial

(viii) monomial

(ix) multinomial

(x) binomial

(xi) monomial

(xii) trinomial

**Question 5. Write down the numerical as well as literal coefficient of each of the following monomials:**

(i) -7x

(ii) -2x^{3}y^{3}

(iii) 6abcd^{2}

**Answer:**

(i) -7, x

(ii) -2, x^{3}y^{3}

(iii) 6, abcd^{2}

**Question 6. Write the numerical coefficient of each term of the expression:**

x^{4} – 5xy^{2} + 7x^{2} – (2/3)x – 1/2

**Answer:**

-5, 7, – (2/3), – 1/2

**Question 7. In -7xy**^{2}z^{3}, write down the coefficient of :

^{2}z

^{3}, write down the coefficient of :

(i) x

(ii) 7x

(iii) -xy^{2}

(iv) xy

(v) z^{3}

(vi) -7z

(vii) xyz

(viii) 7yz^{2}

**Answer:**

(i) -7y^{2}z^{3}

(ii) -y^{2}z^{3}

(iii) 7z^{3}

(iv) -7yz^{3}

(v) -7xy^{2}

(vi) xy^{2}z^{2}

(vii) -7yz^{2}

(viii) -xyz

**Algebra Exe-9.3**

**ML Aggarwal Class 6 ICSE Maths Solutions**

Page-191

**Question 8. State true or false:**

(i) If 5 is constant and y is variable, then 5y and 5 + y are variable

(ii) 7x has two terms, 7 and x

(iii) 5 + xy is a trinomial

(iv) 7a x bc is a binomial

(v) 7x^{3} + 2x^{2} + 3x – 5 is a polynomial

(vi) 7x^{3} + 2x^{2} + 3x – 5 is a multinational

(vii) 2x^{2} – 3/x is a polynomial

(viii) coefficient of x in -3xy is -3

(ix) 3xy, -2yx are like terms.

**Answer:**

(i) True

(ii) False

(iii) False

(iv) False

(v) True

(vi) True

(vii) False

(viii) False

(ix) True

**Question 9. In the following, which pairs contain like terms?**

(i) 5x, -2x

(ii) 5x, 5y

(iii) -2xyz, -3x^{2}y^{2}z^{2}

(iv) 10 xyz, -10xyz

(v) 2x^{2}y, 2xy^{2}

(vi) 2xy, -3yx

(vii) x, x^{2}

(viii) 6, 6x

(ix) 2xy, 3xyz

**Answer:**

(i) 5x, -2x , (iv) 10 xyz, -10xyz, (vi) 2xy, -3yx contain like terms

**Question 10. Identify which of the following algebraic expression are polynomias. If so, write their degrees.**

(i) (2/3)x^{2} – (5/7)x – 1/4

(ii) 3x^{2} + (2/x) – 3

(iii) x^{2} = (2/3)x^{7} – 5x^{8}

**Answer:**

(i) polynomial, 2

(ii) not a polynomial

(iii) polynomial, 8

**Question 11. Which out of following are expressions with numbers only?**

(i) 2y + 3

(ii) (7 × 20) – 82

(iii) 5 × (21 – 7) + 9 x 2

(iv) 5 -11 n

(v) (5 × 4) – 45 + p

(vi) 3 × (11 + 7) – 24 + 3

**Answer:**

(iii) 5 × (21 – 7) + 9 × 2,

(vi) 3 × (11 + 7) – 24 ÷ 3 are expressions with numbers only.

**Question 12. **Write expression for the following:

(i) 11 added to 2 m

(ii) 11 subtracted from 2 m

(iii) 3 added to 5 times y

(iv) 3 subtracted from 5 times y

(v) y is multiplied by -8 and then 5 is added to the result

(vi) y is multiplied by 5 and then the result is subtracted from 16.

**Answer:**

(i) 2m + 11

(ii) 2m – 11

(iii) 5y + 3

(iv) 5y – 3

(v) -8y + 5

(vi) 16 – 5y

**Question 13. ****Write the following in mathematical form using signs and symbols:**

(i) 6 more than thrice a number x.

(ii) 7 taken away from y.

(iii) 3 less than quotient of x by y.

**Answer:**

(i) 3x + 6

(ii) (x/y) – 3

(iii) y – 7

**Question 14. **Form six expressions using t and 4. Use not more than one number operation and every expression must have t in it.

**Answer:**

t + 4, t – 4, 4 – t, 4t, t/4, 4/t

**Question 15. ****A student scored x marks in English but the teacher deducted 5 marks for bad handwriting. What was the student’s final score in English?**

**Answer:**

Marks in English = x

Deducted = 5

Final score = x – 5

**Question 16. Raju’s father’s age is 2 years more than 3 times Raju’s age. If Raju’s present age is y years, then what is his father’s age?**

**Answer:**

(3y + 2) years

**Question 17. ****Mohini is x years old. Express the following in algebraic form:**

(i) three times Mohini’s age next year.

(ii) four times Mohini’s age 3 years ago.

(iii) the present age of Mohini’s uncle, if his uncle is 5 times as old as Mohini will be two years from now.

**Answer:**

(i) Let Mohini’s age be x.

Mohini’s age next year = x + 1

**Three times mohini’s age next year = 3(x + 1) years**

(ii) Let Mohini’s age be x.

Mohini’s age 3 years ago = x – 3

**Four times Mohini’s age 3 years ago = 4(x−3) years**

(iii) Let Mohini’s age be x.

**5(x + 2) years**

**Question 18. ****A bus travels at v km per hour. It is going from Delhi to Jaipur. After the bus has travelled 5 hours, Jaipur is still 20 km away. What is the distance from Delhi to Jaipur?**

**Answer:**

Speed of the bus = v km/hr

Distance travelled in 5 hours = 5v km

∴ Total distance = (5v + 20) km

— : End of ML Aggarwal Algebra Exe-9.3 Class 6 ICSE Maths Solutions :–

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