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1.

Write the number of terms in each of the following polynomials :(i) 5 + 4x ÷ 2(ii) 5 + 4x + 2y(iii) 8x2 -4x + 7(iv) x/5 + x2/7 - x3/8 - 1/4(v) 6x2 ÷ x - 18 ÷ 9 + x2

Answer»

(i) 2 terms

(ii) 3 terms

(iii) 3 terms

(iv) 4 terms

(v) 3 terms

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»

(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.

3.

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»

(i) 8 + x = y

(ii) x - 5 = y

(iii) 2 + x > y

(iv) x + y < 24

 (v) 15 x m = 3n

(vi) 8 x y = 3x

(vii) 30 ÷ b = p

(viii) z - 3x = y

(ix) 12 x X  = 5z

(x) 12 x X > 5z

(xi) 12 x X < 5z

(xii) 45 - 3z = y

(xiii) 8x ÷ y = 2z

(xiv) 5x - 7y = 8z

(xv) 7y - 5x = 8z

4.

Write the coefficient of :(i) x2 in – 8x2y(ii) y in - 4y(iii) x in – xy2

Answer»

(i) – 8y

(ii) – 4

(iii) – y2

5.

Write the coefficient of x2y in :(i) -7x2yz(ii) 8abx2y(iii) – x2y

Answer»

(i) – 7z

(ii) 8ab

(iii) -1

6.

Write the numeral coefficient in :(i) 7x2y(ii) 2x/3(iii) -(5/4)xy2z

Answer»

(i) 7

(ii) 2/3

(iii) -(5/4)

7.

State the numeral coefficient of the following monomials :(i) 5xy(ii) abc(iii) 5pqr(iv) -2x/y(v) 2/3xy2 (vi) -(15xy)/2z(vii) – 7x ÷ y(viii) – 3x ÷ (2y)

Answer»

(i) 5

(ii) 1

(iii) 5

(iv) -2

(v) 2/3

(vi) -(15/2)

(vii) -7 ÷ 1 = -7

(viii) -3 ÷ 2 = (-3)/2

8.

For each expression, given below, state whether it is a monomial, or a binomial or a trinomial.(i) xy(ii) xy + x(iii) 2x ÷ y(iv) -a(v) ax2 - x + 5(vi) -3bc + d(vii) 1 + x + y(viii) 1 + x ÷ y(ix) x + xy - y2

Answer»

(i) Monomial

(ii) Binomial

(iii) Monomial

(iv) Monomial

(v) Trinomial

(vi) Binomial

(vii) Trinomial

(viii) Binomial

(ix) Trinomial