write an algebraic expression for the verbal expression three times the sum of x and y increased by five times the product of x


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Formula
Number of sides of a polygon = n the required formula is = d = n -3 The sum of the reciprocal of x and the reciprocal of y equals the reciprocal of m. Express this as a formula. Reciprocal of Reciprocal of Reciprocal of The required form..
Problems on Simultaneous Equations
The present age of the man is 30 years and the present age of his son is 6 years. The sum of the digits of a two digit number is 7. If the digits are reversed, the new number increased by 3 equals four times the original number. Find the original number. Let ..
Second Method:
Find the factors of 24 with their sum = +14. The factors are 12 and 2. +14x will be written as +12x + 2x. 3x 2 + 14x + 8 = 3x 2 + 12x + 2x + 8 = 3x (x + 4) + 2..
Cartesian Product
B} Similarly B x A = {(x, y) : x B, y A} If A = {3, 5}, B = {2, 4, 6}, write the Cartesian product (i) A x B (ii) B x A A x B = {(3, 2), (3, 4), (3, ..
Example:
Find at least 3 sets of values for the variables satisfying the equation. 2x+y=5 Express y in terms of x. y=5-2x Select three values of x, find corresponding values of y. x=0, ..
Factorization Summary
Summary - If all the terms of the polynomial have a common factor, we take out the common factor and factorise . If all the terms of the polynomial have a common factor, we take out the common factor and factorise . If the polynomial can be expressed as the difference of two squares, we u..
Domain, Range of relation-Arrow Diagram
Representation of a Relation - (i) Roster form(i) Roster form (ii) Set builder form (iii) By tables (iv) Arrow diagram (v) By graphs (i) Roster form: The ordered pairs are listed, R = {(2, 1), (4, 2), (6, 3), (8, 4), (10, 5)} Where A = {1, 2, 3, 4, 5} and R m..
(iii) Set-builder notation
f : {(x, y) : y = 4x + 5} where x belongs to real numbers. (iv) A table. The following table represents first to fifth rank holders of a class. (vi) An algebraic formula. We can use an algebraic formula to represent ..
Surd
x = 5 (iii) (iv) = (x 3 a y 6 ) 1 / 4 (x 2 / 3 y - 1 ) a = x 3 a / 4 y 3 / 2 x 2 a / 3 y - a..
Equations of condition
Equations of condition - Study the following equations: a) 4x + 2 = 14 b) x - 7 = 5 - 2x c) 3a - 8 = a + 12 The equation 4x + 2 = 14 is true only when x = 3, Similarly, x - 7 = 5 - 2x is tr..
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