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Elementary and Intermediate Algebra
Mark Dugopolski, Southeastern Louisiana University
Rational Expressions
Reducing Rational Expressions

Warm-Ups



1

A complete factorization of 3003 is 2 · 3 · 7 · 11 · 13.
A)TRUE
B)FALSE
2

A complete factorization of 120 is 23 · 3 · 5.
A)TRUE
B)FALSE
3

Any number can be used in place of x in the expression (x - 2)/5.
A)TRUE
B)FALSE
4

We cannot replace x by -1 or 3 in the expression (x + 1)/(x - 3).
A)TRUE
B)FALSE
5

The rational expression (x + 2)/2 reduces to x.
A)TRUE
B)FALSE
6

(2x)/2 = x for any real number x.
A)TRUE
B)FALSE
7

x13/x20 = 1/x7 for any nonzero value of x.
A)TRUE
B)FALSE
8

(a2 + b2)/(a + b) reduced to lowest terms is a + b.
A)TRUE
B)FALSE
9

If a ≠ b, then (a - b)/(b -a) = 1.
A)TRUE
B)FALSE
10

The expression (-3x - 6)/(x + 2) reduces to -3.
A)TRUE
B)FALSE








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