1. Simplify & state any excluded values

c-5
―---------
c²-25

2. Simplify & state any excluded values

x² - x - 6
----------------
x² + 7x + 10

9. Find the constant of variation, k, for y= –8 when
x = 12.

10. Write an inverse variation to model the situation
and answer the question. Two rectangular fields
have the same area. One measures 75 yd by 60 yd. If
the other has a length of 72 yd, what is its width?.

1 answer

For the first one.... if you factor the denominator you will be able to reduce the rational expression. Be certain to state the restrictions on the denominator before you reduce : )

Similarly for the second one... you must factor the top and bottom, then state restrictions then reduce : )
= (x-3)(x+2)/ (x+5)(x+2)
notice the x+2 that can reduce on top and bottom... but first state the restriction on the denominator... that is,
x+2 can not = 0
x can not = -2 and
x + 5 can not = 0
x can not = -5

your turn....