Practice Algebra Questions and Answers

• If = 2 then find ...
• If z + (1/z) = 2 then find z105 + 1/(z105) = ?
• If y + 1/y = 2 then find y117 + 1/(y117)
• If = 2 then find ...
• If = -2 then find . ...
• If a = 5.392, b = 2.634 and c = 2.758 then value of a3- b3- c3 - 3abc is. ...
• If x, y and z are real numbers such that (x-3)2+(y-6)2+(z-8)2= 0 then (x+y+z) is equal to ...
• If x, y and z are real numbers such that (x-5)2+(y-7)2+(z-9)2= 0 then (x+y+z) is equal to
• If x, y and z are real numbers such that (x-5)2+(y-8)2+(z-12)2= 0 then (x+y+z) is equal to
• If x = 10 + 2√21, then the value of √x - (1/√x)? ...
• If x = 6 + 2√5, then the value of √x - (1/√x)?
• If (x –1.3)3+(x–1.4)3+(x–1.5)3 = 3(x–1.3)(x–1.4)(x–1.5), Then x = ?
• If (x –4)3+(x–5)3+(x–6)3 = 3(x–4)(x–5)(x–6), Then x = ?
•  + +   +   +   = ?...
•  + +   +   +   = ?...
• 1/3 + 1/15 + 1/35 + 1/63 + 1/99 = ?
• if a2 + b2 + c2 = 2(4a -5b -6c)-77 , then a-b-c = ?
• if a2 + b2 + c2 = 2(3a -5b -6c)-70 , then a-b-c = ?
• if a2 + b2 + c2 = 2(4a -5b -9c)-122 , then a-b-c = ?
• If (2x + (3/x) - 1) = 11, then determine the value of  (4x2 + (9/x2))?
• If a = and b =  , then the value of (a2+b2+ab) is ...
• If a = and b =     , then the value of (a2+b2+ab) is ...
• If x = 21, then the value of x5 - 22x4 + 22x3 - 22x2 + 22x - 1 is
• If x = 19, then the value of x5 - 20x4 + 20x3 - 20x2 + 20x - 1 is
• If x = 35, then the value of x5 - 36x4 + 36x3 - 36x2 + 36x - 1 is
• If x = 99, then the value of x5 - 100x4 + 100x3 - 100x2 + 100x - 1 is
• If p = 11, then what is the value of     is...
• If q = 105, then what is the value of is...
• [a/(2a²  + 5a + 2)] = 1/6 , then find the value of (a+1)/a ?
• What value should come in place of question mark (?) in the following question. (You need not to calcualte the exact value) (36.004 + 34.997)2 - (36.004 - ...
• If (x24  +  1)/x12  = 7, then the value of (x72  +  1)/x36  is 
• If x – 1/x = 9, then x3 – 1/x3 is:
• If (x – 3) is a factor of (x2 + 4qx – 2q), then the value of q is:
• if x2 – 2x + 1 = 0, then find the value of (x7 + x5 + x4 + x2)/x ?
• If x2 – 10x + 20 = 0, then find the value of (x – 3)2 + 1/(x – 3)2
• Length of each side of a rhombus is 13 cm and one of the diagonal is 24 cm. What is the area (in cm2) of the rhombus?