Transcript Math AHSGE Review Domain={-4,2} Range={

Math AHSGE Review
Domain
Range
Xcoordinates
Ycoordinates
{(2,3),
{(2,3),
(-4,6),
(-4,6),
(2,-3)}
(2,-3)}
Domain={-4,2} Range={-3,3,6}
Mean- Average; add all
#s and divide by total
amount of numbers
Median-Middle # when
arranged from smallest
to largest number
Mode- number that
occurs the most
Range- Biggest # Smallest #
Measures of Central Tendency
Pythagorean
Theorem
a2 + b2 = c2
Right
Triangles
When you see a right triangle, 1)
write down formula, 2)square the
#s, 3)add or subtract, 4)take the
square root…”c” is always the
largest #
• 90 degrees
Complementary • Right angles = 90
degrees
Angles
Supplementary
Angles
• 180 degrees
• (Linear pairs & triangles
=180 degrees)
Always subtract to find the
complement/supplement of an angle
“Solve”
“Factor”
Plug in
answer
choices or
Use answer
choices
“Find”
If you need to “solve” or any problem
contains an = sign, plug in the answer
choices for the variable and use PEMDAS
to simplify.
Parenthesis ( ), [ ], ││
Exponents
Add/Subtract(Whichever
comes first from Left to
Right)
Multiply/Divide
(Whichever comes first
from Left to Right)
“Simplify-” think PEMDAS
Absolute Value
│-6 + 5│= │-1│= 1
Evaluate expression
inside bars and make
answer positive.
Treat absolute value like ( ) &
work out the expression first
“AND”
“OR”
Multiply
Add
to find
probability
To find
probability
Probability
Read Word Problem
Label Answer Choices
As what the ? Is asking to find
Work backwards
Label/Find numbers of previous
Sentence in problem
Work backwards
Find number/use formula for
First statement in problem
CHECK YOUR WORK once you find
the answer
FUNCTION…
NO X-VALUE REPEATS…
NO more than one arrow coming from each x coordinate
Use VERTICAL LINE TEST
●
“or”
○
< or >
Shade
number
line in
two
separate
directions
≤ or ≥
no word or…shade between two
points
SLOPE
Rise/Run
# in front of x
(y= 3x-6)
Line uphill=slope +
Line downhill= slope -
Tilt or Inclination
SLOPE= 3/4…Rise/Run
4
3
Find the slope of the line.
-3/1
Find the midpoint between (–1, 2) and
(3, –6).
xx y y
(
,
)
2
2
The halfway point between two
points.
Formula:
x1  x 2
y1  y 2
(
,
)
2
2
Last step…take square root
 To
simplify 4√7…plug √7
into calculator, hit = and
then multiply by the #4.
◦This is useful when
simplifying Pythagorean
Theorem problems and
using the distance
formula.
“Similar”
“Varies
directly”
Set up a
proportion
&
“Missing
Measure”
Cross
multiply
then divide
Watch out for unlike units like
inches then feet or minutes then
seconds. Change to same unit.
x
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Go to bed early the night before the test and
eat a good breakfast the morning of the test.
Read each problem carefully and think about
ways to solve the problem before you try to
answer the question.
RELAX!!! THINK POSITIVELY!!!
Try to answer all questions in order. If you
don’t know the answer to one, at least
eliminate some choices before moving to the
next item.
If no figure is provided, draw one and label it
to help solve the problem.
When you have finished each problem, reread
it to make sure your answer is reasonable.