Section P.4:
• 
or i2 =
-1.
•
Know how to evaluate i to large powers , just like on the quiz .
•
Know how to simplify ex pressions with complex numbers. (eg) (2+3i)(-3+6i) =
-6-9i+12i+18i2 =
-24 + 3i.
Section 1.1:
•
Solving linear equations (eg. like #'s 7-17 pg 95, rational expressions ,
absolute value).
• "Absolute value" means "distance from zero on a number line ."
Section 1.2:
•
Problems like #'s 23-24, 30-34 pg 106.
•
Mixing problems like #'s 55-58, and 62-64 pg 109.
Section 1.3:
• Midpoint formula : 
.
• Distance formula:
.
•
Circles: Standard eqn is (x - h)2 + (y - k)2 = r2 where (h, k) = center and r =
radius. May have to
complete the square like #'s 45-51 odd pg 121.
•
y- intercept is the y - value when x = 0, and vice versa for x-intercept.
•
Graphing lines by changing a linear equation into y = mx+b. Vertical lines x = a
have "no slope," while
horizontal lines y = b have "zero slope."
Section 1.4:
•
The slope of a line going through 
and
is 
.
•
Slope-intercept form: y = mx + b.
•
Point-slope form: a line through the point 
with slope m is 
.
•
Standard form using integers: Ax + By = C where A, B, C are integers.
•
Perpendicular lines have "opposite reciprocal" slopes, while parallel lines have
the same slope.
•
Be able to find the equations of lines given some information like #'s 63-74 pg
135.
Section 1.6:
•
Solving quadratic equations by taking the square- root of both sides, by
factoring, or by the quadratic
formula. Also try some of the application problems like #'s 103-106 pg 158.
•
The Quadratic Formula: the equation ax2 + bx + c = 0 has the solution(s)
.
•
If the discriminant b2 -4ac is > 0 then 2 real sol'ns to ax2+bx+c = 0, if = 0
then 1 real sol'n, < 0 then
0 real sol'ns but exactly 2 "complex/imaginary" sol'ns.
Section 1.7:
•
Know the difference between set notation and interval notation.
• "and" means "intersection," while "or" means "union." (see #'s 31-37 odd pg
171).
•
Solving compound inequalities like #'s 40-49 pg 171.
•
Solving absolute value inequalities like #'s 53-63 odd pg 171.
•
Note that lblahl < N means -N < blah AND blah < N while lblahl > N means blah <
-N OR
N < blah.
