Sat Math Basics

Front 1

Techniques to Remember:

Back 1

Joe Bloggs
POE
Ballparking
Bite-sized Pieces

Front 2

Bisect?

Back 2

To cut directly in half

Front 3

Two facts about a parallelogram

Back 3

1. Opposite sides are parallel and equal.
2. Area= b*h

Front 4

In any triangle the longest side is opposite the?

Back 4

largest angle

Front 5

Right Triangles?

Back 5

3-4-5
6-8-10
5-12-13

Front 6

Special Right Triangles
Sides of 30-60-90

Back 6

across 30 - x
across 60 - x sqroot 3
across 90 2x

Front 7

Special Right Triangles
Sides of isos?

Back 7

x, x, xsqroot 2

Front 8

Rules of angles when a line crosses two parallel lines

Back 8

big=big, small=small, any big + any small= 180

Front 9

A line tangent to a circle is...

Back 9

perpendicular to the radius of the circle

Front 10

Plugging In?

Back 10

1. Plug in your own numbers for each variable
2. Solve the problem using your chosen numbers= TARGET answer
3. Plug your chosen numbers into the answer choices= Find your TARGET

Front 11

Steps to PITA

Back 11

Plugging in the ANSWERS
1. Label your answers
2. Starting with answer choice C, work the steps
3. Arranged in descending/ascending order
4. When you find the correct answer, STOP

Front 12

When do you PITA?

Back 12

If the question asks for a specific amount
If there are no variables in the asnwer choices
Look fo "How many?" or "How much? or "What is the value of?"

Front 13

% Change?

Back 13

Difference/Original * 100

Front 14

What does 2A mean?

Back 14

The capitalized letter refers to the missing number.. 1 to make 21

Front 15

What do you do on a question dealing with averages?

Back 15

Fred the Plumber's Butt!
Make your circle with the total on top and then 3 of things next to the average on the bottom

Front 16

Median?

Back 16

Arrange the numbers from lest to greatest. the middle number is the median. if there ar two, then the average of those two.

Front 17

Mode?

Back 17

The mode is the number that appears the greatest number of times

Front 18

English to Math Equivalents..
percent...?
of...?
what...?
is/are/were/did/does..?

Back 18

Percent.. x/100
Of...mulitply
what... variable
is, are.. equals

Front 19

The Ratio Box?

Back 19

p. 103

Front 20

Vary Directly or Directly Proportional means?

Back 20

x/y =x/y
(xsub2 and ysub2)

Front 21

Inverse variation or inverse proportion..vary indirectly or vary inversely.. means? formula?

Back 21

as one gets smaller the other gets bigger
xy=xy
(xsub2 and ysub2)

Front 22

Probability?

Back 22

# of outcomes fulfilling the requirements/ total # of possible outcomes

Front 23

Geometric Probability?

Back 23

area of the region fulfilling the requirements/ total area

Front 24

Questions that ask you to count how many diff ways... Four Chefs are avaiable to cook four diff meals. If each chef is to cook one of the meals, in how many diff ways could the four chefs be assigned to the four meals?

Back 24

4*3*2*1
once you use 4 then the next one must be 3 because you lost a chef int he first slot

Front 25

1,2,3..1000 Question
Karen is choosing DVDs to bring over to her friend's house for a movie night. She has 8 comedies, 6 dramas, and 4 musicals in her collection. if she chooses one of each type, how many diff selections of DVDs can she make?

Back 25

set up __ ___ ___, then fill in 8, 6, 4
8*6*4 = 192

Front 26

1,2,3..1000 Questions
passangers on an airplane must choose one breakfast snack and one midmorning snack from the following options: apple, cookies, granola, yogruty, and pretzels. Hos many diff snack combos are possbile? (can choos an apple then a yogurt etc)

Back 26

Set up __ ___, then 5*5
25

Front 27

If you see two fractions that equal each other.. don't forget to ?

Back 27

Cross Multiply!

Front 28

3/4x^2 =3x First step?

Back 28

Get rid of fraction- mulitply by 4

Front 29

Funky Roots and Exponents
y^-3

Back 29

1/y^3

Front 30

Funky Roots and Exponents
x^3/2

Back 30

square root of x cubed

Front 31

Foil
x^2 - y^2

Back 31

(x+y)(x-y)

Front 32

Foil
x^2 +2xy + y^2

Back 32

(x+y)^2

Front 33

Foil
x^2 -2xy +y^2

Back 33

(x-y)^2

Front 34

Rational Equations
What do you do?

Back 34

1. Collect like terms.
2. Whatever you do to one side of an equation, you need to do to the other side.
3. Look for ways to factor.
4. x^n = number? Take the nth root of both sides but remember that you can't take an even root of a negative number.
5. Don't forget to PITA!

Front 35

Rational Inequalities
If you mulitply or divide by a neg number?

Back 35

Flip the sign

Front 36

Radical Equations
If an equation looks like
4th root of x = 25, what do you do?

Back 36

Raise both sides to the power of n (4) to get rid of the root

Front 37

Functions
Domain?

Back 37

domain of a function is all of the values that you can put into the function for x

Front 38

Functions
Range?

Back 38

the range of a function is all the answers taht you can get our of the function

Front 39

To find the domain of a function, plug in values from the answer choices. Eliminate answers if:

Back 39

1. The bottom of a fraction becomes zero
2. You'd have to take an even root of a negative number

Front 40

For Directly Proportional and Indirectly Proportional: if you plug in two diff numbers that decrease .. what should the result be?

Back 40

Directly - decreases also
Indirectly- increases

Front 41

Slope?

Back 41

Rise/Run
y-y/x-x
(sub 2) (sub 2)

Front 42

y=mx+b
m?
b?

Back 42

m= slope
b= y-intercept (the y-coordinate of the point where the line croses the y-axis)

Front 43

Quadratic Function Facts:
They have graphs that are?
The equation is? If a is pos?neg?
If you look where the graph crosses the x-axis?

Back 43

Parabolas
ax^2 +bx+c If a is pos the parabola opens up and if a is negative the parabola opens down
If you look at where the graph crosses the x-axis, you can find that roots (or solutions) to the quadratic function that defines the graph

Front 44

If the equation looks like y= b- x^2 ?

Back 44

Then the parabola opens down and b is the maximum value

Front 45

Transforming Graphs
If the number is outside of the ()S of the original function?
If the number is inside?

Back 45

Outside of ()s- graph moves up or down
Inside of ()s - graph moves left or right

Front 46

If a geometric shape and a graph intersect, follow these steps: (2)

Back 46

1. Use the information given about the shape to find a point on the graph
2. Use taht point to find the value of the constant in the equation of the graph

Front 47

Not 1,2,3 .. 1000, just counting...
Carol has to choose the option for her new car. She can order one or more of the following: power windows, a sunroof, a leather interior. If she can order one or more of the options, how many ways can she combine them?

Back 47

P S L
x
x x
x x
x x
x
x
x x x
=7

Front 48

Geometry
A square anda circle have equal areas. What ist he ratio of the side of the square to the radius of the circle?

Back 48

s^2 = pi r^2
say the side is 2 and so the are is 4
4= pi r^2
divide by pi
take the square root
answer: sq root of pi : 1

Front 49

If you square a positive fraction less than 1, what happens?

Back 49

it gets smaller

Front 50

Third Side Rule
The length of the third side of ANY triangle MUSt always be?

Back 50

less than the sum of the lengths of the other two sides
Greater than their difference

Front 51

Distance Formula?

Back 51

sq root of (x - xsub2) + (y-ysub2)

Front 52

Midpoint Formula?

Back 52

Just average the coordinates of the endpoints
(x+xsub2/2 , y+ysub2/2)

Front 53

Geometric Sequence Formula
Finding the nth term in a sequence
nth term =?

Back 53

nth term = (first term) * (mulipliers)^n-1

Front 54

Exponential Growth
If ETS asks you to find a final amount..Final amount=?

Back 54

Final amount= (Original amount) * (Growth Multiplie) ^number of changes

Front 55

Rates
Distance (or work) =

Back 55

Rate*Time