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SAT II - Math Level 1
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Gravity
Terms in this set (61)
Integers
..., -3, -2, -1, 0, 1, 2, 3, ...
Real numbers
integers plus fractions, decimals, and irrationals
Order Of Operations
PEMDAS (Parentheses / Exponents / Multiply / Divide / Add / Subtract
Arithmetic Sequences
Each term is equal to the previous term plus d
The 'n'th term in an arithmetic sequence
Sum of 'n' terms in an arithmetic sequences
Geometric Sequence
Each term is equal to the previous term times 'r'
The 'n'th term in a geometric sequence
Sum of 'n' terms in a geometric sequence
Prime factorization
Break up a number into prime factors (2, 3, 5, 7, 11, ...)
Greatest Common Factor
Multiply common prime factors
Least Common Multiple
Check multiples of the largest number
Percentages
Average (mean)
Mode
Value in the list that apears the most often
Median
Middle value in the list (which must be sorted smallest to largest/largest to smallest)
Fundamental Counting Principle
If an event can happen in N ways, and another, independent event, can happen in M ways, then both events together can happen in, N x M ways. (Extend this for three or more: N1 x N2 x N3 ... )
Permutations and Combinations
Probability
Powers, Exponents, Roots (Rules)
FOIL
Difference Of Squares
Quadratic Equation
Functions
A function is a rule to go from one number (x) to another number (y), usually written as y=f(x)
Domain of f( )
Set of possible values of x; excludes imaginary numbers
Range
Set of possible values of y corresponding with domain of f( ); it is also the domain of f( ) inverse
Absolute value
Parabolas
A parabola parallel to the y-axis is given by:
Compound Functions
A function can be applied directly to the y-value of another function. This is usually
written with one function inside the parentheses of another function.
Complex Numbers
Exponents of complex numbers
Distance of a line segment
Mid-point of a segment
Slope of the line
Parallel linear functions
Have equal slopes
Perpendicular linear functions
Intersecting Lines (angle equivalent)
Opposite angles are equal. Also, each pair of angles along the same line add to 180. In the figure above, a + b = 180º
Parallel Lines
Eight angles are formed when a line crosses two parallel lines. The four big angles (a) are equal, and the four small angles (b) are equal.
Right triangles
Special Right Triangles
Another good example of a right triangle is one with a = 3, b = 4, and c = 5, also called a 3{4{5
right triangle.
Area of a Triangle
Triangle Rules
1. Interior angles of a triangle add up to 180º
2. The length of one side of any triangle is always less than the sum and more than the difference of the lengths of the two other sides.
3. An exterior angle of any triangle is equal to the sum of the two remote interior angles
Equilateral Triangle
Three equal sides, and all three angles are 60º.
Isosceles Triangle
An isosceles triangle has two equal sides.
Similar Triangles
Two or more triangles are similar if they have the same shape. The corresponding angles are equal and the corresponding sides are in proportion.
Trigonometric Functions
SOH-CAH-TOA
Important Trigonometric Identities
Area of a Circle
Circumference of a Circle
Length of Arc
Area Of Sector
Equation of the Circle
Rectangle
Parallelogram
Trapezoids
Polygons
Volume of solids
Given at the beginning of test booklet
Volume Rectangular Solid
Right Cylinder
Distance between opposite corners of a rectangular solid
Volume of a uniform solid
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