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) 3x5 + 4y3 – 7xy2 + 3
(iv) 2x2 – (3/x) + 5/x2 + 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) 3x5 + 4y3 – 7xy2 + 3 the term is 3x5 ,+ 4y3 ,- 7xy2 ,+ 3
(iv) 2x2 – (3/x) + 5/x2 + 9 the term is 2x2 ,- (3/x), + 5/x2 ,+ 9
Question 2. Write down the algebraic expression whose terms are :
(i) 5, -2x
(ii) -3, 5x2 , -7x5
(iii) a2 , -2b2 , 3c2 , 7
(iv) 2x, -3/x, 7y/x2 , 5z, -1.
Answer:
(i) 5, -2x is 2 term
(ii) -3, 5x2 , -7x5 – 2 term
(iii) a2 , -2b2 , 3c2 , 7 – 4 term
(iv) 2x, -3/x, 7y/x2 , 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) x2 – 2y2
(ii) xy + yz + zx
(iii) 5 + 5x
(iv) 5x
(v) 5/x + 3
(vi) -7
(vii) a2 – b2 – c2 + 5abc
(viii) -5a2b2c2
(ix) 1 + x + x2 + x3 + x2
(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) -2x3y3
(iii) 6abcd2
Answer:
(i) -7, x
(ii) -2, x3y3
(iii) 6, abcd2
Question 6. Write the numerical coefficient of each term of the expression:
x4 – 5xy2 + 7x2 – (2/3)x – 1/2
Answer:
-5, 7, – (2/3), – 1/2
Question 7. In -7xy2z3, write down the coefficient of :
(i) x
(ii) 7x
(iii) -xy2
(iv) xy
(v) z3
(vi) -7z
(vii) xyz
(viii) 7yz2
Answer:
(i) -7y2z3
(ii) -y2z3
(iii) 7z3
(iv) -7yz3
(v) -7xy2
(vi) xy2z2
(vii) -7yz2
(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) 7x3 + 2x2 + 3x – 5 is a polynomial
(vi) 7x3 + 2x2 + 3x – 5 is a multinational
(vii) 2x2 – 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, -3x2y2z2
(iv) 10 xyz, -10xyz
(v) 2x2y, 2xy2
(vi) 2xy, -3yx
(vii) x, x2
(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)x2 – (5/7)x – 1/4
(ii) 3x2 + (2/x) – 3
(iii) x2 = (2/3)x7 – 5x8
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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