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Evaluate algebraic expressions
 

  1. Evaluate the algebraic expression 5a - b + c, if

    1)   a = 2, b = 1, and c = 2
    2)   a = 0, b = 3, and c = 1
    3)   a = 1, b = -1, and c = -1
    4)   a = -2, b = 1, and c = -2
    5)   a = -2/3, b = -1/2, and c = 2
    6)   a = -2/5, b = 1/6, and c = -1/3

     
  2. If x = -2, y = 1 and z = -1. evaluate each of the following algebraic expressions.

    1)     1 - 2(x - y)
    2)     2(-x + y - z) - 3 
    3)     x2 - 2xy + y2
    4)     x2 + y2 + z2 - xy - xz - yz
    5)     (x + y + z)3
    6)     (x - y)(x - z)(y - z)
    7)     5(x + 2y) - 3z
    8)     (x - z) - 2(y - x)(y - z)
    9)     (xy)2 - (5z)2 - yz    2
     
  3. Simplify and then evaluate the algebraic expressions,
    3(a + b - 3) - 2(2a + b - 4)
    if

    1)   a = 2, b = 1,
    2)   a = 0, b = 3,
    3)   a = 1, b = -1,
    4)   a = -2, b = 1,
    5)   a = -1/3, b = -1/2,
    6)   a = -2/3, b = 1/6,
     
  4. Simplify and then evaluate the algebraic expressions,
    -2(-x + y - 2) - 3(3x - y - 1)
    if

    1)   x = 2 and y = 2,
    2)   x = 0 and y = 3,
    3)   x = -1 and y = 1,
    4)   x = -2 and y = -1,
    5)   x = -1/4 and y = -1/2,
    6)   x = -2/3 and y = 5/6,
     

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