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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
4.10 Identities - I

An equation which is true for all real values of its variables is called an identity. This is denoted by the symbol ""

Example:
Show that the equation (a-b)2 = a2 - 2ab + b2 is an identity.
Solution:
Substituting a = 2 and b =1 in the equation,
LHS = (2-1)2 = 12 = 1
RHS = 22 - 2.2.1 + 12
= 4 - 4 + 1
= 1
LHS = RHS. Hence equation is true for values 2 and 1.
Similarly it can be proved that the equation becomes a true statements for any pair of real numbers


Direction: Show that the following equations are in identities or not, taking any pair of real numbers and prove.


Q 1: (6x2+2y) = (7x2+2b), is this statement is true for any pair of real numbers?
False
True

Q 2: (x-y)(x+y) = x2 - y2, is this statement is true for any pair of real numbers?
False
True

Q 3: (a-b)2 = a2 - 2ab + b2, is this statement is true for any pair of real numbers?
False
True

Q 4: 2(x+4y) = 2(2x+4y), is this statement is true for any pair of real numbers?
False
True

Q 5: (2x+3)(3y-2) = 6xy - 4x + 9y - 6, is this statement is true for any pair of real numbers?
True
False

Q 6: (a+b)(c+d) = ac + ad + bc + bd, is this statement is true for any pair of real numbers?
True
False

Question 7: This question is available to subscribers only!

Question 8: This question is available to subscribers only!


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