óãàäàé èìÿ ìàòåìàòèêà

Question Answer
Åãî "Íà÷àëà" áîëåå äâóõ òûñÿ÷ ëåò ÿâëÿëèñü áàçîâûì ó÷åáíèêîì ãåîìåòðèè Åâêëèä
Åìó ïðèíàäëåæèò èçðå÷åíèå "ß ìûñëþ, çíà÷èò, ñóùåñòâóþ". Äåêàðò
Ñôîðìóëèðîâàííàÿ èì â 1637 ãîäó òåîðåìà áûëà äîêàçàíà òîëüêî â 1994 ãîäó. Ôåðìà
Îäèí èç ñåìè ìóäðåöîâ Ãðåöèè. Ôàëåñ
Ïåðâûé, êòî ñòàðàëñÿ äîêàçàòü òåîðåìû ïðè ïîìîùè ëîãè÷åñêèõ ðàññóæäåíèé. Ïèôàãîð
Îí â 62 ãîäà âûó÷èë ðóññêèé ÿçûê. Ãàóññ
Àâòîð íååâêëèäîâîé ãåîìåòðèè. Ëîáà÷åâñêèé
Ìàòåìàòèê-ïîýò Õàéàì

Multiplication Flash Cards

Question Answer
0 x 0 = 0
0 x 1 = 0
0 x 2 = 0
0 x 3 = 0
0 x 4 = 0
0 x 5 = 0
0 x 6 = 0
0 x 7 = 0
0 x 8 = 0
0 x 9 = 0
0 x 10 = 0
1 x 0 = 0
1 x 1 = 1
1 x 2 = 2
1 x 3 = 3
1 x 4 = 4
1 x 5 = 5
1 x 6 = 6
1 x 7 = 7
1 x 8 = 8
1 x 9 = 9
1 x 10 = 10

Statistics Formula

Question Answer
Sampling distribution proportions <img src="http://i.imgur.com/bneQc9l.png">
Sampling distribution means
Margin of error means
Margin of error proportions
Confidence Interval means
Confidence Interval proportions
Hypotheses Single mean
Hypotheses Single proportion
Test Statistic z distribution Proportions
Test Statistic z distribution means
Test Statistic t distribution means

integrals

the indefinite integral of equals
a dx ax + C
x^n dx (1/(n+1)) x^ (n+1) + C
1/x dx ln IxI + C
e^x dx e^x + C
a^ X dx (a^x)/(lna) + C
lnx dx xlnx -x + C
sinx dx -cosx +c
cos x dx sinx + C
tan x dx ln IsecxI +C or -ln IcosxI + C
cot x dx ln IsinxI + C
sec x dx ln Isecx + tanxI +C
csc x dx ln Icscx- cotxI +C
sec^2x dx tanx +C
secx tanx dx secx + C
csc^2X dx -cotX +C
cscx cotx dx -cscx + C
tan^2x dx tanx -x +C
dx/[a^2 + x^2] 1/a Arctan(x/a) +C
dx/[sqroot(a^2-x^2)] 1/a Arcsin (x/a) + C

MMB Alg I Properties

Question Answer
Commutative Property of Addition 2 + 7 = 7 + 2
Associative Property of Addition (3 + 7) + 5 = 3 + (7 + 5)
Identity Property of Addition (-12) + 0 = -12
Inverse Property of Addition (-8) + (+8) = 0
Commutative Property of Multiplication 6*5 = 5*6
Associative Property of Multiplication (3*4)*9 = 3*(4*9)
Identity Property of Multiplication 15*1 = 15
Property of Zero 8 * 0 = 0
Property of -1 (-6) * (-1) = 6
Distributive Property (right side) (x+8)6 = 6x + 48
Distributive Property (left side) 3(x-5) = 3x – 15
Inverse Property of Multiplication (2/3)*(3/2) = 1
Reflexive Prop of Equality 8=8
Symmetric Property of Equality If 4=x, then x=4
Transitive Property of Equality If x=2 and 2=y, then x=y
Addition Property of Equality If x-5 = 12, then x = 17
Subtraction Property of Equality If x+23 = (-9), then x = (-32)
Multiplication Property of Equality If (2/5)x = 40, then x = 100
Division Property of Equality If (-8)x = 64, then x = -8
Substitution Property If x = 5 and x + y = z, then 5 + y = z
Closure Property of Addition for the Reals 3 + 7 = a real number
Closure Property of Subtraction for the Reals 9 – (-14) = a real number
Closure Property of Multiplication for the Reals (-32)*(pi)= a real number
Closure Property of Division of the Reals (10)/(2) is a real number

English verbal expressions translated to mathematical expressions

Question Answer
nine more than a number x + 9
the difference of ten and a number 10 – x
three more than half of a number 1/2x + 3
nine less than the product of ten and a number 10x – 9
the quotient of a number and two-tenths x/0.2
twenty divided by a number is less than or equal to two 20/x <= 2
two cubed divided by a number 2^3/x
five decreased by eight times a number 5 – 8x
five squared minus a number 5^2 – x
twenty-three less than the difference of thirty-eight and a number (38 – x) – 23
a number increased by seven x + 7
the product of a number squared and twelve increased by forty-four 12x^2 + 44
the product of a four and a number 4x
twenty-nine decreased by a number 29 – x
twenty-three more than the difference of thirty-eight and a number (38 – x) + 23
four times the quantity of a number decreased by eleven 4(x – 11)
eleven decreased by the quantity 4 times a number 11 – 4x
the product of four and the quantity of a number minus 11 4(x – 11)
one-half multiplied by a number 1/2x
three times the quantity two less than a number 3(x – 2)
A number plus 9 x + 9
Thirteen decreased by a number 13 – x
Twelve times a number 12x
Two thirds of a number 2/3x
Quotient of a number and three fifths x / 3/5
Ten more than twice a given number 2x + 10
Seven more than half of a number 1/2x + 7
Five less than a number, divided by three (x – 5) /3
Three cubed divided by a number 3^3/x
Four times the sum of a number and seven 4(x + 7)

CPMS Algebra Unit 2 vocab

Question Answer
The vertical number line y-axis
A function whose graph is unbroken Continuous
The set of all x-values in a function. Domain
The variable in a function whose value affects the output variable Independent Variable
A relationship between input and output in which the output depends on the input. Function
Symbols that are used to represent unspecified numbers; something that changes. Variable
The horizontal number line x-axis
The set of all y-values in a function Range
The variable in a function whose value is determined by the input variable Dependent Variable
A function whose graph is made up of isolated points Discrete

Mr. Rosado’s Geometry Always, Sometimes, Never Midterm Review

Question Answer
Scalene triangles are ____ congruent. Sometimes
A right triangle and an isosceles triangle are ___ congruent. Sometimes
A rhombus is ___ a parallelogram. Always
Skew lines ___ intersect. Never
Parallel lines are ___ skew. Never
Parallel lines are ___ coplanar. Sometimes
Right triangles are ___ isosceles. Sometimes
Two equiangular triangles are ___ congruent. Sometimes
The intersection of a plane and a. line is ___ a point. Always
A rectangle is ___ a square. Sometimes
A linear pair is ___ supplementary. Always
Two acute angles are ___ supplementary. Never
A midsegment ___ connects two points. Always
In a triangle, the altitude is ___ a median. Sometimes
The supplement of an obtuse angle is ___ acute. Always
If two lines are cut by a transversal, then AIA's are ___ congruent. Sometimes
Equilateral triangles are ___ acute. Always
Five points are ___ collinear. Sometimes
A trapezoid ___ has two congruent sides. Sometimes
A polygon is ___ a closed plane figure. Always
In a triangle, the largest angle is ___ opposite the smallest side. Never
Vertical angles are ___ coplanar. Always
Congruent figures ___ have congruent corresponding parts. Always
Two segments are ___ coplanar. Sometimes
If two triangles are congruent, then their corresponding altitudes are ___ congruent. Always
A right triangle ___ has two acute angles. Always
An isosceles triangle is ___ obtuse. Sometimes
Opposite sides of a parallelogram are ___ parallel. Always
Two collinear rays ___ form a line. Sometimes
Parallel planes ___ intersect. Never
Two coplanar lines are ___ parallel. Sometimes
Three intersecting lines are ___ coplanar. Sometimes
Three points are ___ coplanar. Always
Two planes that intersect ___ intersect at a line. Always
If two angles of a triangle are congruent, then it is ___ isosceles. Always
Two acute angles are ___ supplementary. Never
Two acute angles are ___ complementary. Sometimes
Two right angles are ___ supplementary. Always
A right angle and an acute angle are ___ supplementary. Never
Two obtuse angles are ___ supplementary. Never
Two complementary angles are ___ acute angles. Always
Two rays with a common endpoint ___ form a right angle. Sometimes
Two points ___ determine a line. Always
Three points ___ determine a plane. Sometimes
If two angles of one triangle are congruent to two angles of as second triangle, then the two triangles are ___ congruent. Sometimes
If two angles and the included side of one are congruent to two angles of a second triangle, then the two triangles are ___ congruent triangle. Always
Three points in the same plane are ___ collinear. Sometimes