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 |

### Òàáëèöà çà óìíîæåíèå äî 6

Question | Answer |
---|---|

2*3 | 6 |

3*3 | 9 |

3*4 | 12 |

6*2 | 12 |

3*9 | 27 |

7*3 | 21 |

3*10 | 30 |

### ðåøåíèå âûðàæåíèé

Question | Answer |
---|---|

240 : (36 : 12) + 45 = | 125 |

600 – 250 : 50 * 40 = | 400 |

420 : 70 + 400 : 5 : 2 = | 100 |

1000 – (250 + 15 * 3 * 2) = | 660 |

175 + 288 + 225 + 12 = | 700 |

199 + (345 * 0 + 260 : 13) : 20 = | 200 |

### 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 |