MAT105: College Algebra
The following example illustrates many key components pertaining to subtraction of rational algebraic
expressions. It involves many specific potential pitfalls that must be avoided in simplifying the given
expression. It is definit
Terminology for Arithmetic Exercises
Addition:
Addends: the numbers being added together ( and
Sum:
in the given example)
the answer to an addition problem ( in the given example)
Subtraction:
Minuend:
the number being subtracted from ( in the given examp
MAT105: College Algebra
Review Chapter Class Exercises
Section R.1: The Real-Number System
A. Give the interval notation representation for each of the following:
1.
2.
3.
4.
5.
OR
OR
6.
7.
8.
9.
10.
11.
12.
Prof. Fowler
B. Name the property of real numbe
MAT105: College Algebra
Arithmetic Facts Involving Cube Roots, Fourth Roots, and Related Items
Powers to Know:
Additional Powers of
:
Rule for Simplifying Radicals with Radicands Involving Powers of Variables:
To simplify , divide the exponent of the radi
MAT105: College Algebra
Class Exercises for Sections R.4 through R.7
A. Simplify completely.
1.
2.
3.
4.
5.
B. Factor completely. Note: there are no prime expressions.
6.
7.
8.
C. Determine all real solutions to each equation. Note: each equation has at l
Factoring Examples Trinomials with Leading Coefficients
Example 1:
Solution Method #1
To factor using the method not in the text, list the factors of the leading coefficient and constant
( and , respectively) to determine which combination of factors in w
MAT105: College Algebra
Polynomial Terminology
Coefficient:
Number directly in front of a variable by which that variable is multiplied
NOTE: no coefficient implies a coefficient of
Term: Product of a coefficient and any number of variables raised to any
MAT017: Introduction to Mathematics
Numerical Sets to Be Known
1.
Integers: Numbers with no fractional parts; includes positives, negatives, and zero
(Note: Some textbook authors use a capital I for the set of integers.)
Symbol:
Set:
2.
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Whole Numbers