Identify the terms and their factors in the following expressions. Show the terms and factors by tree diagrams.

(a) x-3

(b) 1+ x+x²

(c) y-y³

(d) 5xy² + 7x²y

(e) -ab + 2b² - 3a²

Get the algebraic expressions in the following cases using variables, constants and arithmetic operations.

(i) Subtraction of z from y.

(ii) One-half of the sum of numbers x and y.

(iii) The number z multiplied by itself.

(iv) One-fourth of the product of numbers p and q.

(v) Numbers x and y both squared and added.

(vi) Number 5 added to three times the product of numbers m and n.

(vii) Product of number y and z subtracted from 10.

(viii) Sum of numbers a and b subtracted from their product.

Identify terms and factors in the expression given below:

(a) -4x + 5

(b) -4x + 5y

(c) 5y + 3y²

(d) xy + 2x²y²

(e) pq + q

(f) 1.2ab - 2.4b + 3.6a

(g)

(h) 0.1p² + 0.2q²

Identify the numerical coefficients of terms (other than constants) in the following expression:

(i) 5 - 3t²

(ii) 1 + t + t² + t³

(iii) x + 2xy + 3y

(iv) 100m + 100n

(v) -p²q² + 7pq

(vi) 1.2a + 0.8b

(vii) 3.14r²

(viii) 2(l + b)

(ix) 0.1y + 0.01y²

Identify terms which contain x and give the coefficient of x.

(i) y²x + y

(ii) 13y² - 8yx

(iii) x + y + 2

(iv) 5 + z +zx

(v) 1 + x +xy

(vi) 12xy² + 25

(vii) 7x + xy²