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1992-01-17
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5
Basic College Algebra Theory
101
Identify the following subsets of Real Numbers
{ 1, 2, 3, 4, ... }
Whole numbers are similar but include zero,
Integers include zero and negative numbers.
585
Whole Numbers
Natural Numbers
Rational Numbers
Integers
2
2
229
Identify the following Subset of Real Numbers
{ ..., -3, -2, -1, 0, 1, 2, 3, ... }
Natural numbers begin with the number 1 and count
upward, Whole numbers are similar to natural
numbers but include 0.
585
Rational Numbers
Natural Numbers
Integers
Whole Numbers
2
3
97
Which of the following is NOT a valid property of Quotients
In this example the ac/ca = 1 which is not the
same as a/b.
4095
a c
--- = --- if and only if ad = bc
b d
ac a
---- = ---
ca b
a c ad - bc
--- - --- = -----------
b d bd
a c ad + bc
--- + --- = -----------
b d bd
2
2
225
Which of the following is NOT a valid property of Exponents
A correct example of this would be:
2 2 2
a + a = 2a
1755
m n m+n
a x a = a
m n mn
(a ) = a
n n 2n
a + a = a
m m m
(ab) = a b
2
3
109
If a is a nonzero real number, then
0
a = ?
The only exception to this is if a = 0, then
the answer would be undefined.
585
Minus one (-1)
Zero (0)
One (1)
Infinite
2
3
39
The following algebraic rule is more commonly known as:
2 2
( x + y )( x - y ) = x - y
This is a useful rule to remember
585
Cube of a Binomial
Difference of Two Squares
Square of a Binomial
A Polynomial in x
2
2
0