Algebraic Identities
Math ⇒ Algebra
Algebraic Identities starts at 7 and continues till grade 12.
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See sample questions for grade 7
Expand (2x + 5)2.
Expand (3x + 2y)2.
Expand (4x - 3y)2.
Expand (x - 2y)2.
Expand (x - 4)2.
Expand (x + 2y)(x - 2y).
Expand (x + 3)2.
Expand (x + 5y)(x - 5y).
If a = 3 and b = 2, calculate (a + b)(a - b).
If a = 5 and b = 2, find the value of (a + b)2 using the identity.
If a = 6, b = 2, and c = 1, find the value of (a + b + c)2.
If a = 7 and b = 4, calculate (a - b)2 using the identity.
If x = 2 and y = 3, find the value of (x + y)2 - (x - y)2.
If x = 3 and y = 1, find the value of (x + y)(x - y).
If x = 4 and y = 1, find the value of (x + y)2.
If x = 5 and y = 2, find the value of (x - y)2.
Which identity would you use to expand (x + y)(x - y)?
Expand and simplify (x + 2y - 3)2.
Given that (a + b)2 + (a - b)2 = 2a2 + 2b2, prove this identity.
If (a + b)2 = 49 and a = 5, find the value of b.
