# New Learning Composite Mathematics Class 7 SK Gupta Anubhuti Gangal Algebraic Expression Chapter 5A Solution

### New Learning Composite Mathematics SK Gupta Anubhuti Gangal Class 7 Algebraic Expression Self Practice 5A Solution

(1) Which of the following algebraic expression are polynomials?

(a) 5 – 7x

(b) y3 + 16y2 – 11

(c) 2y2 – xy + 5/y – 3

(d) 2 – 9/x

(e) 8 – 3x + 4x2 – 6x3

(f) 19

(g) 17z

(h) x + 1/3x – 2

(2) State the numerical coefficient and degree of each monomial

(a) 45

(b) 4x2 /y

(c) 42x-1/4

(d) 9b

(e) 8pq

(f) -12m2n

(g)5/t2

(h) xy2

(i) -7d3

(j) -25x2y

(3) Select the like terms in each polynomial, if any.

(a) 7x – 3x + 8

(b) a + b + 2a – c

(c) a + 3b – c + 5b

(d) 2xy – 5xz + 4yz – yz

(e) mn2 + m2n2 – 2mn2 + 6m2n2

(f) 2ab2 – 7a2b + 9a2b2 + 8a2b

(g) 8(r + s) – 3(r + s) + 5(r – s)

Solution Number 1, 2 & 3:  (4) State the degree of each polynomial

(a) 7 + 3y + y2

(b) 9p3 + 16q2

(c) 8a2b + ab2 – 5ab + 2

(d) 3x3 + 15 + x – 2x2

(e) 0.5x2y + 0.25xy2 + 6x2 + 0.75

(5) Determine whether the given polynomials are monomials, binomials, trinomials or none of these. Then, state the degree and coefficient of the polynomials.

(a) 5c2d

(b) 12x2 + d

(c) 15m2 – 2p + 5

(d) 8x – 5y2 + 11x3

(e) 12ab – 8a2b

(f) -7a3 + 5a2b – ab2 + 10b3

(6) Arrange the given polynomials in order of decreasing degree in x.

(a) 4x + x2 – 8

(b) 8x2 – 3x – 12 + 6x3

(c) x2y – 3y3 + 4x3 – 2xy2

(d) 2x2y – 8xy3 + x3 – y3 + 3xy

(7) Write each polynomial in standard form.

(a) 17 – 3x2 + x + 8x3

(b) 20y3 – 13y – 3y2 + 1

Solution Number 4, 5, 6 & 7:  (8) Evaluate, If a -= 2, b = 1 and c = 10.

(a) c3

(b) (2b)2

(c) (c + b)2

(d) (a – 3)2

(e) (-3c)3

(f) 3a3/b

(g) 9(a2 – b2)

(h) 3b(a3 – c)

(i) a3 + b2 + c)2

(9) Write the algebraic expression for the following situations.

(a) Rita’a age is 4 less than 4 times her daughter’s age x.

(b) The perimeter of an isosceles triangle whose equal sides are of length p cm each and unequal side is q cm.

(d) The speed of a bus is z m/s. Write its speed in km/h.

(e) A pair of shoes cost Rs. x. The cost of a dress is Rs. 200 more than 5 times the cost of the shoes.

Solution Number 8 & 9:   Updated: February 29, 2020 — 12:53 pm