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Who vs whom
Plug in they for who and them for whom to see which works
Which vs that
Comma before which (ALWAYS)
No comma before that
Direct relationship
Divide
Inverse relationship
Multiply
Square root function
all positive solutions
Distance formula
√(x2 - x1)2 + (y2 - y1)2
Like the pythagoream theorem
Midpoint formula
(avg x, avg y)
Standard form slope
Ax + By = C
m = -A/B
Standard Form x intercept
C/A
Standard form y intercept
C/B
Zero slope
horizontal line
Undefined slope
vertical line
Compound inequality
separate into 2 inequalities to solve separately easier
CHECK
that graphs start at 0
what the question is actually asking for
Average rate formula
total distance/total time
DRT questions
D = R * T
given 2 trips of same D —> system of equations
Ratio questions
ratio, multiplier, actual table
make multiplier the same
Absolute value
|x-b| = a (b is midpoint and a is variance)
Absolute value with variable
split into 2 equations
1 is normal without | |
other flip the sign on everything outside of | |
Radicals
separate number until you get the number of the radical
√18 = √2 × 3 × 3 = 3√2 (since there was 2 3s and the radical was 2 you take out the 3)
x coordinate of vertex
-b/2a
review
difference of squares
factoring when a isnt 1
factoring more than normal quadratic
a2 + 2ab + b2
(a + b)(a + b)
a2 - 2ab + b2
(a - b)(a - b)
a2 - b2
RECOGNIZE THIS
(a + b)(a - b)
Standard form roots
sum of roots = -B/A
product of roots = C/A
discriminant
b2 - 4ac
<0 no solutions
=0 1 solution
>0 2 solutions
Transformations order
left/right
reflection
up/down
sum of interior angles
180(n-2)
n = number of sides
sum of exterior angles
always 360
supplementary
add up to 180
Circle Circumference
2πr
Circle Area
πr2
Cube suErface area
6s2
Equilateral triangle area
A= (s2√3)/4
Trapezoid area
A = (b1 + b2)/2 *h
Arc length
(xo/360o)2pir
Area of sector
(xo/360o)pir2
incomplete transversals
sum of 3 interior angles add up to 360
triangles rules
any side must be shorter than sum of other 2 sides
measure of an exterior angle = sum of remote interior angles
congruent triangle rules
SSS, SAS, AAS, ASADisnsity
mass/volume
density
pythagoream triples
3-4-5
5-12-13
7-24-25
8-5-17
9-40-41
2pi to degrees
360
sin(x) to cos
cos(90-x)
sin(theta) to cos
cos(pi/2 - theta)
Trig positive negative quadrants
ASTC
1234
Drawing angle
Angle comes off of x axis
Circle standard form
(x-h)² + (y-k)² = r²
Circle general form
CONVERT TO STANDARD
Reading comprehension strategy
Question
Underline/highlight
Identify
Cross out answers
Keep best answer
Other reading strategies
Identify subject, verb, independent clause, dependent clause, extra info, etc
find method
Find one error
Identify repeated error
Note difference in remaining
Decide which is correct
Period and semicolon are the ONLY difference between andwers
Elimínate both
Misplaced modifiers
When extra information about a noun is too far from it in the sentence and can be confusing
“Based on cats, Netflix aired the show Cats”
(Netflix isn’t based on cats)
Inference pattern
Topic/claim
Contrary statement
Implication
DONT INFER TOO MUCH
Complementary angles
Add up to 90 degrees