Fundamental Concepts ICSE Class-6th Concise Selina Mathematics Solutions Chapter-18 . We provide step by step Solutions of Exercise / lesson-18 Fundamental Concepts for ICSE Class-6 Concise Selina Mathematics. Our Solutions contain all type Questions of Exe-18 A, Exe-18 B and Revision Exercise to develop skill and confidence. Visit official Website CISCE for detail information about ICSE Board Class-6 .
Fundamental Concepts ICSE Class-6th Concise Selina Mathematics Solutions Chapter-18
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Exercise – 18 A of Fundamental Concepts for ICSE Class-6th Concise Selina Mathematics
Question -1.
Express each of the following statements in algebraic form :
(i) The sum of 8 and x is equal to y.
(ii) x decreased by 5 is equal to y.
(iii) The sum of 2 and x is greater than y.
(iv) The sum of x and y is less than 24.
(v) 15 multiplied by m gives 3n.
(vi) Product of 8 and y is equal to 3x.
(vii) 30 divided by b is equal to p.
(viii) z decreased by 3x is equal to y.
(ix) 12 times of x is equal to 5z.
(x) 12 times of x is greater than 5z.
(xi) 12 times of x is less than 5z.
(xii) 3z subtracted from 45 is equal to y.
(xiii) 8x divided by y is equal to 2z.
(xiv) 7y subtracted from 5x gives 8z.
(xv) 7y decreased by 5x gives 8z.
Answer-1
Question- 2.
For each of the following algebraic expressions, write a suitable statement in words:
(i) 3x + 8=15
(ii) 7 – y > x
(iii) 2y – x < 12
(iv) 5 ÷ z = 5
(v) a + 2b > 18
(vi) 2x – 3y= 16
(vii) 3a – 4b > 14
(viii) b + 7a < 21
(ix) (16 + 2a) – x > 25
(x) (3x + 12) – y < 3a
Answer-2
(i) 3x plus 8 is equal to 15
(ii) 1 decreased by y is greater than x
(iii) 2y decreased by x is less than 12
(iv) 5 divided by z is equal to 5
(v) a increased by 2b is greater than 18
(vi) 2x decreased by 3y is equal to 16
(vii) 3a decreased by 4b is greater than 14
(viii) b increased la is less than 21
(ix) The sum of 16 and 2a decreased by x is greater than 25
(x) The sum of 3x and 12 decreased by y is less than 3a.
Selina Solutions of Fundamental Concepts for ICSE Class-6th Concise Mathematics Exercise – 18 B
Question -1.
Separate the constants and the variables from each of the following:
Answer-1
Question -2.
Group the like terms together :
Answer-2
Question- 3.
State whether true or false :
(i) 16 is a constant and y is a variable but 16y is variable.
(ii) 5x has two terms 5 and x.
(iii) The expression 5 + x has two terms 5 and x
(iv) The expression 2x2 + x is a trinomial.
(v) ax2 + bx + c is a trinomial.
(vi) 8 x ab is a binomial.
(vii) 8 + ab is a binomial.
(viii) x3 – 5xy + 6x + 7 is a polynomial.
(ix) x3 – 5xy + 6x + 7 is a multinomial.
(x) The coefficient of x in 5x is 5x.
(xi) The coefficient of ab in – ab is – 1.
(xii) The coefficient of y in – 3xy is – 3
Answer-3
(i) True
(ii) False
(iii) True
(iv) False
(v) True
(vi) False
(vii) True
(viii) True
(ix) True
(x) False
(xi) True
(xii) False
Question- 4.
State the number of terms in each of the following expressions :
Answer-4
(i) 2 terms
(ii) 2 terms
(iii) 2 terms
(iv) 2 terms
(v) 3 terms
(vi) 2 term
(vii) 2 terms
(viii) 3 terms
(ix) 3 terms
Question- 5.
State whether true or false:
(i) xy and – yx are like terms.
(ii) x2y and – y2x are like terms.
(iii) a and – a are like terms.
(iv) – ba and 2ab are unlike terms.
(v) 5 and 5x are like terms.
(vi) 3xy and 4xyz are unlike terms.
Answer-5
(i) True
(ii) False
(iii) True
(iv) False
(v) False
(vi) True
Question -6.
For each expression, given below, state whether it is a monomial, or a binomial or a trinomial.
Answer-6
(i) Monomial
(ii) Binomial
(iii) Monomial
(iv) Monomial
(v) Trinomial
(vi) Binomial
(vii) Trinomial
(viii) Binomial
(ix) Trinomial
Question -7.
Write down the coefficient of x in the following monomial :
Answer-7
Question- 8.
Write the coefficient of :
Answer-8
Question -9.
State the numeral coefficient of the following monomials :
(vii) – 7x ÷ y
(viii) – 3x ÷ (2y)
Answer-9
Question- 10.
Write the degree of each of the following polynomials :
Answer-10
We know that highest power is called degree
(i) 2
(ii) 2
(iii) 10
(iv) 20
(v) 3
Revision Exercise of Chapter-18 Fundamental Concepts for ICSE Class-6th Concise Mathematics Selina Solutions
Question -1.
Express each of the following statements in algebraic form :
(i) The sum of 3x and 4y is 8.
(ii) 5x decreased by 7 gives y.
(iii) 31 added to 4x gives 6x.
(iv) 3x subtracted from 89 gives 44.
Answer-1
(i) 3x + 4y = 8
(ii) 5x – 7 = y
(iii) 4x + 37 = 6x
(iv) 89 – 3x = 44
Question -2.
Group the like terms :
Answer-2
Question- 3.
Write the number of terms in each of the following polynomials :
Answer-3
(i) 2 terms
(ii) 3 terms
(iii) 3 terms
(iv) 4 terms
(v) 3 terms
Question- 4.
For each expression, given below, state whether it is a monomial, or a binomial or a trinomial:
(i) x + y
(ii) 5x – 4y
(iii) 7x2 + 5x + 8
(iv) 64 + 3 ÷ 6
(v) 9 ÷ a x b
(vi) 8a ÷ b
Answer-4
(i) binomial
(ii) binomial
(iii) trinomial
(iv) 6a + 3 ÷ b = 6a + 3⁄b
It has two terms
It is binomial
(v) 9 ÷ a x b = 9b⁄a
It has one term
It is monomial.
(vi) monomial
Question -5.
Write the coefficient of x2y in :
(i) -7x2yz
(ii) 8abx2y
(iii) – x2y
Answer-5
(i) – 7z
(ii) 8ab
(iii) -1
Question- 6.
Write the coefficient of :
(i) x2 in – 8x2y
(ii) y in -4y
(iii) x in – xy2
Answer-6
(i) – 8y
(ii) – 4
(iii) – y2
Question -7.
Write the numeral coefficient in :
Answer-7
(i) 7
(ii) 2⁄3
(iii) –5⁄4
Question- 8.
Write the degree of each of the following polynomials :
Answer-8
(i) 8
(ii) 4
(iii) 2
(iv) 1
(v) 3
Question -9.
Write each statement, given below in algebraic form :
(i) 28 more than twice of x is equal to 45.
(ii) 3y reduced by 5z is greater than 8x.
(iii) 6x divided by 13y is less than 17.
(iv) 9 multiplied by 5x is equal to 2y.
Answer-9
Question -10.
State whether true or false :
(i) If 23 is a constant and x is a variable, 23 + x is constant.
(ii) If 23 is a constant and x is a variable, 23x is a variable.
(iii) If y is a variable and 57 is a constant, y – 57 is a variable.
(iv) If 3x and 2y are variable; each of 3x + 2y, 3x – 2y, 3x ÷ 2y and 3x x 2y is a variable.
Answer-10
(i) False
Sum of a constant and a variable is also variable.
(ii) True
Product of a constant and a variable is variable.
(iii) True
Constant subtracted from a variable is also variable.
(iv) True
Sum, difference product or quotient of two variables is also variable.
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