1^st Hour Topics 1 Name:_________________________________

Don’t Forget!

Commute: a + b = b + a or a*b = b*a

Associate: (a + b) + c = a + (b + c) or (a*b)*c = a*(b*c)

Distribute: a*(b + c) = a*b + a*c (read backwards to collect) J

Identities:

1) -x = -1*x

2) x = 1*x

3) a – b = a +–b

4) a/b = a * (1/b)

5) (a/b) * (c/d) = (a*c) / (b*d)

For each of the following expressions, use whatever property or identity necessary to turn the original expression into the new expression. Justify steps as we did in the property worksheets. One step at a time!!! J

Start with Change to

1. (z - q)*u z*u - q*u

2. r*(s/t) (r*s)/t

3. -(p + q) -p + -q

Start with Change to

4. (a + b)/c a/c + b/c

5. 6x + x 7x

6. 5x - x 4x