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 Depdendent Variable

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 Dependent Variable

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# Intermediate Algebra Class Notes

What you need to do this week (after attending the first class):

A. Look over Class Notes for 01/14/07 and 01/16/07 (online links found in the
right-hand pane of the homepage).

B. Read the following three (3) webpages (online links found in the left-hand
pane of the homepage):

1. Course Syllabus
2. Course Schedule
3. Course Info & Policies (covered by Quiz #01* on Wed., Jan.23rd)

* This first quiz consists of ten multiple-choice and True-False questions. All
subsequent quizzes will cover math problems selectively picked from the most
recent HomeWork exercises, and will be given without any prior notice.

I. Sets -

A. Symbols: B. Number Sets (p.8) - See Figure 1.2
1. N = {1, 2, 3, ...}
2. W = {0, 1, 2, 3, ...}
3. = {..., -3, -2, -1, 0, 1, 2, 3, ...}
N, W & are all in “roster” notation = {x | x is a terminating or a repeating decimal}
5. J = {x | x is a non-terminating, non-repeating decimal}
6. = {x | x is a decimal} Q, J & are all in “set-builder” notation

II. Examples (pp.10-12): Exercises #34,68,14,80

pp.10-12 / Exercises #1-97 (every other odd)

I. Absolute Value (p.15):
l x l = distance from zero (on a number line)

II. Opposites:

A. - (-a) = a
B. a – (-b) = a + b

III. Division involving Zero:

A. 0 ÷ a = 0
e.g., 0 ÷ 7 = 0 (since 0 = 7 × 0)
B. a ÷ 0 is “undefined”
e.g., 7 ÷ 0 = ? (requires 7 = 0 × ?)
note: no such number exists, i.e., undefined

IV. Distributive Property (pp.21-22):

a(b ± c) = ab ± ac

V. Examples (pp.24-25): Exercises #8,46,90,100,
122