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DAT > Quantitative Reasoning > Flashcards

Quantitative Reasoning Flashcards

1
Q

What is the difference of squares?

A

a2-b2=(a+b)(a-b)

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2
Q

What is this square binomials?

A

a2+2ab+b2=(a+b)2

a2-2ab+b2=(a-b)2

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3
Q

What is the quadatic equation?

A

x=(-b(+/-)(b2-4ac)1/2)/(2a)

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4
Q

What is the quadratic equation?

A

ax2+bc+c=0

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5
Q

What to do when you have a simultaneous equation?

A

add them together

ex:

2x-9y=11

x+12y=-8

3x+3y=3

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6
Q

What to do when you absolute value?

A

Do both + and - numbers

ex

Ix-12l=3

x-12=3;x-12=-3

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7
Q

What to do with inequality?

A

It is just like an = sign

X or / by number when the sign is flipped

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8
Q

*General Rule of absolute value

A

IwhateverI < p when p>0

IwhateverI < p means -p<whatever></whatever>

<p>IwhateverI&gt;p p&gt;P</p>

</whatever>

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9
Q

What are the su of interior angles?

A

180

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10
Q

How to find exterior angle?

A

subtract interior angle by 180

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11
Q

Area formula of a triangle

A

1/2bh

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12
Q

Triangle inequality therom

A

Length on 1 side of triangle must be greater than the difference of the other 2 side

Length of 1 side of triangle less than sum of other 2 sides

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13
Q

What do similar tirangel have?

A

have same shape

corresponding angles equal

corresponding sides proportion

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14
Q

What are the 3 special triangles?

A

Isoceles, equalateral, right

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15
Q

Isosoceles triangle

A

2 sides equal

angles opposide side are =

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16
Q

Equilateral triangle

A

3 sides equal

all angles equal to 60

area= s2 *(3)1/2/4

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17
Q

Right Triangles

A

2 sides

legs are base and height

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18
Q

Pythagorean Therom

A

a2+b2=c2

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19
Q

Pythagorean Tripelet

A

3,4,5 and interger

5, 12, 13

45-45-90( ratio 1:1:(2)1/2)

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20
Q

30-60-90 triangles

A

ratio: 1:(3)1/2:2

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21
Q

Area of trapezoids

A

((b1+b2)/2)(height)

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22
Q

Paralelogram

A

Opposite sides equal

area=base*height

Height perpendicular to base

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23
Q

Area of rectangle

A

L*W

24
Q

Area of Rhombus

A

base*height

25
Q

Area of square

A

(s)2

26
Q

Area of Hexagon

A

(3s2(3)1/2)/2

27
Q

Length of Arc

A

(n/360)(2πR)

28
Q

Circumference of a circle

A

2πR

29
Q

Area of circle

A

πr2

30
Q

Area of a sector of a circle

A

(n/360)(πr2)

31
Q

Lateral area of cone

A

1/2*circumference*l(slant height)

32
Q

Volume of Cone

A

1/3πr2h

33
Q

Surface area of sphere

A

4πr2

34
Q

Volume of a sphere

A

4/3πr3

35
Q

Volume of pyramid

A

1/3bh

36
Q
A
37
Q

Distance formula

A

(L2+W2+h2)1/2

38
Q

Volume of rectangular solid

A

lwh

39
Q

Volume of cube

A

c3

40
Q

Volume of Cylinder

A

πr2h

41
Q

Distance between two points fomrula

A

((x1-x2)2+(y1-y2)2)1/2

42
Q

Slope of parallel lines

A

same

43
Q

Line perpendicular lines to each other

A

negative recipicals of each other

44
Q

Graph of absolute value

A

Bend in graph

bends at 0 usually

45
Q

Trig identites

A

sin2x+cos2x=1

1+cot2x=cscx

tan2x+1=sec2x

46
Q

Double angle formulas

A

sin(2x) = 2sinxcosx

cos(2x)= cos^2x-sin^2x = 2cos^2x-1 = 1-2sin^2x
tan(2x)= (2tanx)/(1-tan^2x)
47
Q

Convert radians to degrees

A

x/(desired radian)=360/2π

48
Q

Convert degrees to radians

A

x/degree=2π/360

49
Q

Sinx=y graph

A

Repeats every 360

50
Q

Cosx=y graph

A

Repeats every 360

51
Q

Tanx=y graph

A

Repeats every 90

52
Q

Inverse of sin

A

arcsingx

-90<= x<= 90

can not be defined at x<-1 and x>1

53
Q

Inverse tan

A

arc tan

undefined at -90 and 90

54
Q

Sine recipical

Cosine reciprocal

Tangent reciprcal

A

Cosecant

Secant

Cotangent

55
Q

Surface area of retangular solid

A

2lw+2wh+2lh

56
Q

Permuation

A

Specific order

N!/(N-R)!

57
Q

Combination

A

N!/(R!(N-R)!

order does not matter

ABC=BCA

DAT (4 decks)

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