**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 2x^{2} + x is a trinomial.

(v) ax^{2} + bx + c is a trinomial.

(vi) 8 x ab is a binomial.

(vii) 8 + ab is a binomial.

(viii) x^{3} – 5xy + 6x + 7 is a polynomial.

(ix) x^{3} – 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) x^{2}y and – y^{2}x 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) 7x^{2} + 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) -7x^{2}yz

(ii) 8abx^{2}y

(iii) – x^{2}y

**Answer-5**

(i) – 7z

(ii) 8ab

(iii) -1

**Question- 6.**

Write the coefficient of :

(i) x^{2} in – 8x^{2}y

(ii) y in -4y

(iii) x in – xy^{2}

**Answer-6**

(i) – 8y

(ii) – 4

(iii) – y^{2}

**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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