# Problems on Sec. 1- Sec. 4

1. Let set . List all elements of that belong to each set

(a) Integers (b) Rational numbers

2. Write each algebraic identity (true statement) as a complete English sentence without using the names of the variables. For instance, can be stated as "The multiple of a sum is the sum of the multiples."

(a) (b) (c)

3. Identify by name each property illustrated.

(a) (b) (c)

4. Simplify each expression.

(a) (b) (c)

5. Evaluate each expression if , , and .

(a) (b) .

6. Write without absolute value bars.

(a) (b)

7. Perform the indicated operations.

(a) (b) (c)

8. Factor as completely as possible.

(a) (b) (c) (d) (e)

Department of Mathematics