Practice Algebra Questions and Answers

• If a = 2 + √3, then the value of `(a^(6) + a^(4) + a^(2) + 1)/(a^(3))`    is
• Find the value of ‘x’ in the given expression: (49/16)x × (64/343)x-1 = 4/7
• If (a + b + c) = 9, find (a – 4)3 + (b – 2)3 + ( c – 3)3 - 3(a – 4 ) (b – 2 ) (c – 3)?
• If  x/y = 5/3, Find (x+y)/(x-y)?
• If  (a3+1)/(a+1) = (a3-1)/(a-1) and a ≠ 1, -1. Find the value of  'a'
• (a+2 )² + (b-5)² + (c+3)² = 0 Find the value of  √ (a + b + c) ?...
• Find the value of (1 -  `1/(p+1)` ) + (1 - `2/(p+1)`  ) + (1 - `3/(p+1)`  ) + ........................... + (1 -  `p/(p+1)` )
• If a + `1/b`  = 1  and b + `1/c`  =1  , then the value of c + `1/a`  is
• If  a2+2 = 2a then find a4 - a3 + 2a2 -2a+ 9 = ?
• If  {1/(y + 1) + 1/(y + 5)} = {1/(y + 2) + 1/(y + 4)}. Find the value of y 
• If  x = 19 , find x 5 - 20  x 4 + 20  x 3 - 20x 2 + 20x  - 20 = ?
• If x   = 107, then find the value of  x(x2 - 12x + 48)  ?
• If ( m+n  ) : √ (mn) = 4, m>n  , Then find the value of m : n ?
• Fing the value of: [(1024)(n/5) × (4)(2n+1) ] / [(16)n × (4)(n-1) ]
• Find the value of ‘x’ in the given expression: (49/16)x × (64/343)x-1 = 4/7
•  
•   `sqrt(sqrt(20+sqrt(20+sqrt(20)) ... prop)`   = ?
•   `sqrt(sqrt(6+sqrt(6+sqrt(6)) ... prop)`   = ?
•  `sqrt(sqrt(2+sqrt(2+sqrt(2)) ... prop)`   = ?
•  `sqrt(sqrt(10+sqrt(10+sqrt(10)) ... prop)`   = ?
•  `sqrt(sqrt(17+sqrt(17+sqrt(17)) ... prop)`   = ?
•  `sqrt(sqrt(15+sqrt(15+sqrt(15)) ... prop)`   = ?
• `sqrt(sqrt(6-sqrt(6-sqrt(6)) ... prop)`  = ?
• `sqrt(sqrt(56-sqrt(56-sqrt(56)) ... prop)`  = ?
•  `sqrt(sqrt(10-sqrt(10-sqrt(10)) ... prop)` = ?
•    = ?
• The value of:    1) 532/31 2) 531/32 3) 530/31 4) 531/30...
• (123×123×123 + 130×130×130)/(123×123 - 123×130 + 130×130) = ? 
• (15 x 15 x 15 + 8 x 8 x 8)/(15 x 15 -15 x 8 + 8 x 8) = ?
•  = ?
•    = ?...
• ((99.9 - 20.9)² + (99.9 + 20.9)² )/(99.9 x 99.9 + 20.9 x 20.9) = ?...
• If   a 2 + b 2 + c 2 = 40 & ab + bc + ca = 12 then  a + b+ c = ?
• If 3x + (1/3x) = 9 then find 27x³ + (1/27x³ ) = ?
• If tan x + cot x  = 7, find  tan3 x + cot3 x = ?
• If     = 4 then   = ? ...
• If = 3 then = ? ...