INTRODUCTORY EXERCISES-Symbol Manipulation

(1) Simplify.  Expand any products.

 
 (a) 4y - (6 - 3x + y)

 (b) (2 + 13/3)(9/52)
              
 (c) (4/x)-1  

 (d) 3 - (1/2)(-x2 + x + 2) - 5(1.2x2 - 2.7)

 (e) 2r2 + 4(2r)(100/r2)

 (f) -36(x - 1)(x + 2)
 
 (g) (2x - 1)2


HINT: 
 
 (a) Remember to distribute the minus sign through to each term when expanding.

 (b) First find a common denominator for (2 + 13/3). Then simplify.

 (c) Recall that any expression raised to a negative power is equivalent to the
 reciprocal of that expression, raised to the same power (but  positive).

 (d) First change the decimal numbers into fractions. Then expand. Group like
 terms together to simplify.

 (e) Cancel common terms in the numerator and denominator.

 (f) Remember the steps of "FOIL".

 (g) Rewrite the expression without an exponent and then "FOIL" it.
  

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