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1 / SAT math formulas
- Sum of consecu- tive integers
- Sum of the con- secutive integers from 1 to an inte- ger n
- Percent increase or percent de- crease
- i's
5 +[ 5 +[ 1 + 5 +[ 2 ...
(n + 1) × 52 [ change in amount / original amount x100%
- Exponent Rules MADSPM if MULTIPLYING two numbers with common bases... ADD exponents if DIVIDING two numbers with commonx bases... SUBTRACT exponents if raising exponention number to a POWER...MULTIPLy exponents
- Absolute value If ll 5 =e4,then 5 =e 4 55 =\e 5 − 4 _ If ll 5 <e4,then − 4 < 5 <e 4 If ll 5 >e4,then 5 <e− 4 55 >\e 54 _
- Difference of squares
- Properties of in- equalities
^ 52 N− ^ 52 O= ( 5 +N) 5 ( 5 O−N)5O
The inequality is reversed by
- taking the negative of both sides
- taking the reciprocal of both sides
- multiplying or dividing both sides by a negative number
- rates 5 =Q 5 ×_ 5 e 55 VaN 5 ` 5 V 5 a 5 a 5 Z 5 RN5[5P5R
2 / SAT math formulas
- Domain of a func- all the possible x-values of a function tion
- Range of a func- tion
- Formula for slope The set of all the "input" numbers for which the function still works all y values are out put variables
- Facts about slope - Horizontal lines have slopes of zero.
- Vertical lines have undefined slopes.
- Non-vertical parallel lines have equal slopes.
- Non-vertical perpendicular lines have slopes whose product is - 1.
- Linear functions 5 =f 5 +Z 55 Oe
- Quadratic func- tions 5 =f^ 52 N+ 55 +eOc 5e
- Angle sums - The sum of any number of angles that form a straight line is 180°.
- The sum of any number of angles around a point is 360°.
- Two angles that add to 90° are called complementary angles. - Two angles that add to 180° are called supplementary angles.
- Sum of the in- terior angles of a polygon with n sides
180°( 5 −[2)
- Vertical angles 5 =N 5 anQd 5 =Oc put picture
- Transversals
4 / Volume and sur- face area of a rec- tangular solid
- Diagonal of a rec- tangular solid
- Volume and sur- face area of a right cylinder
- Distance formula
- Midpoint formula
- Counting princi- ple If there are m ways to complete the first and n ways to complete the second, then there are 5 ×Z 5 w[ays to complete the two of them
- Probability 555 [ 5 / 5 S 5 \ 5 b 5 S 5 [ 5 b\ 5 N] 5 \ 5 Z 5 b 5 S 5
a 5 b 5 c 5 OZ 5 5 P 5 a **5** \ 5 OR 5 \PV 5 5 ZR 5 N\ 5 O 5 5 RZ_ 5 O 5 Y 5 R 5 Y 5 R 5R - average
- Volume of a Cone:
- Increase by a per- multiply by (1 +r) cent
- Decrease by a percent multiply by (1 - r)
- Simple Interest: A = P (1+rt) 45.
5 / Interest Com- pounded Annual- ly:
- Interest Com- pounded n times per year:
- General form of a conversion fac- tor:
- final concentra- tion
- Negative Expo- nents:
- Fractional Expo- nents: (Vol. of A + Vol. of B)
