Useful notes about arithmetic and algebra for students who wish to take the SAT II Math Level 2 Subject TestFull description
Useful notes about functions for people who want to take the SAT II Math Level 2 Subject Test
Useful notes about conic sections for people who wish to take the SAT II Math Level 2 Subject Test.Full description
Useful notes about combinatorics for students who wish to take the SAT II Math Level 2 Subject TestFull description
Useful notes about polar coordinates for people who want to take the SAT II Math Level 2 Subject TestFull description
Useful notes about matrices for people who want to take the SAT II Math Level 2 Subject TestFull description
Full description
Maths
MA 92
Preparation Booklet 2006 - 2007
Preparation Booklet 2006 - 2007
Chemistry Subject Test for SATFull description
Scanned Version
Scanned Version
oiquweqwe
Syllabus of SAT PHYSICS, CHEMISTRY AND BIOLOGY compiledFull description
_Master_SAT_II_Math
Arithmetic & Algebra Percent Change
% Change = Amount Change × 100 Original number of changes Repeated Percent-Increase: Final Amount = Original × (1 + Rate) number of changes Repeated Percent-Decrease: Final Amount = Original × (1 – (1 – Rate) Rate)
Rates
average speed = total distance total time distance = rate × time work done = rate of work × time
Direct Variation
In a direct variation, variation, the ratio of the variables is equa l to a constant Direct Variation: y Variation: y = kx kx,, where k is k is a constant
Inverse Variation
In an inverse variation, variation, the product o f the variables is equal to a constant Inverse Variation: y Variation: y = k / x, x, where k is k is a constant
Absolute Value Definition of Absolute Value: 1. if x x ≥ 0, then | x | x | = x = x 2. if x x < 0, then | x | x | = – = – x (note that – that – x is a positive number) 3. | x | ≥ 0 for all values of x x Absolute Value Properties: 1. 2. 3. 4. 5.
| x | = a → x = ± a | x | < a → – a < x < a | x | > a → x > a or x < – a a < | x | x | < b → a < x < b or – a > x > – b | y | = | x | x | → y = ± | x | x |
Whenever you multiply both sides of an inequality by a negative, flip the inequality sign When adding, subtracting, multiplying, or dividing ranges, list the four ways you can combine the endpoints of the two t wo ranges
Exponential and Logarithmic Functions Exponential Properties: a
b
a+b
1. x ∙ x = x a a – b 2. x = x b x a b ab 3. ( x x ) = x 0 4. x = 1 – a 5. x = 1 a x a a a 6. x ∙ y = ( xy) xy)
Logarithmic Properties: 1. 2. 3. 4. 5. 6.
log b ( pq) pq) = log b p + log b q log b ( p p / q) = log b p – log b q x log b ( p p ) = x = x ∙ log b p ( x x can be a variable or a constant) log b 1 = 0 log b b = 1 log b p = log a p log a b log p
7. b b = p 8. log e x = ln x ln x Property that relates exponential and logarithmic functions: x log b N N = = x is equivalent to b = N
When no base is indicated for logarithms, logarithms, any arbitrary base can be used x The graphs of all exponential functions y functions y = b have roughly the same shape and pass through point (0,1) The graphs of all logarithmic functions y functions y = log b x have roughly the same shape and pass through point (1,0)