Write each of the following phrases by using numbers, literals and signs of basic operations: (i) Quotient of `z` by 6 is multiplied by `ydot` (ii) Quotient of `x\ b y\ y` added to the product of `x\ a n d\ y` (iii)3 taken away from the quotient of `x\ b y\ 2ydot` (iv) Eight times a number `p` is `x` less than a number `ydot`

Write the following statement using numbers, literals and signs of basic operations: 7 times a number x is y less than a number z'

Write the following using numbers. Literals and signs of basic operations (i) 3 more than a number x (ii) y less than 6 (iii) One-third of the sum of x and y (iv) 5 less than the quotient of x by y (v) The quotient of x by y added to the product of x and y (vi) 7 taken away from the sum of x and y

Write the following using numbers, literals and signs of basic operations: The sum of 6 and xdot 3 more than a number ydot One-third of a number xdot One-half of the sum of number x a n d y Number y less than a number 7. 7 taken away from x 2 less than the quotient of x b y ydot 4 times x taken away from one-third of y Quotient of x by 3 is multiplied by ydot

Write each of the following phrases using numbers, literals and the basic operation of subtraction: (i) 5 less than a literal xdot (ii) Decreases x\ by 7. (iii) Subtract 4 from xdot (iv) x less than the sum of y\ a n d\ 7 (v) Decrease the sum of x\ a n d\ y by z (vi) a is diminished by 2 (vii) a less than 4.

Write the following using literals numbers and signs of basic operations: (i) x increased by 12 (ii) y decreased by 7 (iii) The difference of a and b, when a > b (iv) The product of x and y added to their sum (v) 5 times x added to 7 times y (vii) sum of x and the quotient of y by 5 (viii) x taken away from 4 (ix) 2 less than the quotient of x by y (x) x multiplied by itself (ix) Twice x increased by y (xii) Thrice x added toy squared (xiii) x minus twice y (xiv) x cubed less than y cubed (xv) The quotient of x by 8 is multiplied by y

Write each of the following as an equation in two variables: (i) x=-5 (ii) y=2 (iii) 2x=3 (iv) 5y=2

The quotient of x by y added to the product of x and y is written as (x)/(y)+xy(b)(y)/(x)+xy(c)(xy+x)/(y) (d) (xy+y)/(x)

Factorize each of the following expressions: 3-12(a-b)^(2) (ii) x(x+z)-y(y+z)

The quotient of x by 3is multiplied by y is written as (x)/(3y) (b) (3x)/(y) (c) (3y)/(x) (d) (xy)/(3)

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 numbers y and z subtracted from 10. (viii) Sum of numbers a and b subtracted from their product.