Quantitative Reasoning

Question 1

What is the difference of squares?

Answer 1

a²-b²=(a+b)(a-b)

Question 2

What is this square binomials?

Answer 2

a2+2ab+b2=(a+b)²

a^2-2ab+b²=(a-b)²

Question 3

What is the quadatic equation?

Answer 3

x=(-b(+/-)(b²-4ac)^1/2)/(2a)

Question 4

What is the quadratic equation?

Answer 4

ax²+bc+c=0

Question 5

What to do when you have a simultaneous equation?

Answer 5

add them together

ex:

2x-9y=11

x+12y=-8

3x+3y=3

Question 6

What to do when you absolute value?

Answer 6

Do both + and - numbers

ex

Ix-12l=3

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

Question 7

What to do with inequality?

Answer 7

It is just like an = sign

X or / by number when the sign is flipped

Question 8

*General Rule of absolute value

Answer 8

IwhateverI < p when p>0

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

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

</whatever>

Question 9

What are the su of interior angles?

Answer 9

180

Question 10

How to find exterior angle?

Answer 10

subtract interior angle by 180

Question 11

Area formula of a triangle

Answer 11

1/2bh

Question 12

Triangle inequality therom

Answer 12

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

Question 13

What do similar tirangel have?

Answer 13

have same shape

corresponding angles equal

corresponding sides proportion

Question 14

What are the 3 special triangles?

Answer 14

Isoceles, equalateral, right

Question 15

Isosoceles triangle

Answer 15

2 sides equal

angles opposide side are =

Question 16

Equilateral triangle

Answer 16

3 sides equal

all angles equal to 60

area= s² *(3)^1/2/4

Question 17

Right Triangles

Answer 17

2 sides

legs are base and height

Question 18

Pythagorean Therom

Answer 18

a²+b²=c²

Question 19

Pythagorean Tripelet

Answer 19

3,4,5 and interger

5, 12, 13

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

Question 20

30-60-90 triangles

Answer 20

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

Question 21

Area of trapezoids

Answer 21

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

Question 22

Paralelogram

Answer 22

Opposite sides equal

area=base*height

Height perpendicular to base

Question 23

Area of rectangle

Answer 23

L*W

Question 24

Area of Rhombus

Answer 24

base*height

Question 25

Area of square

Answer 25

(s)²

Question 26

Area of Hexagon

Answer 26

(3s²(3)^1/2)/2

Question 27

Length of Arc

Answer 27

(n/360)(2πR)

Question 28

Circumference of a circle

Answer 28

2πR

Question 29

Area of circle

Answer 29

πr²

Question 30

Area of a sector of a circle

Answer 30

(n/360)(πr²)

Question 31

Lateral area of cone

Answer 31

1/2\*circumference\*l(slant height)

Question 32

Volume of Cone

Answer 32

1/3πr²h

Question 33

Surface area of sphere

Answer 33

4πr²

Question 34

Volume of a sphere

Answer 34

4/3πr³

Question 35

Volume of pyramid

Answer 35

1/3bh

Question 37

Distance formula

Answer 37

(L²+W²+h²)^1/2

Question 38

Volume of rectangular solid

Answer 38

lwh

Question 39

Volume of cube

Answer 39

c³

Question 40

Volume of Cylinder

Answer 40

πr²h

Question 41

Distance between two points fomrula

Answer 41

((x1-x2)²+(y1-y2)²)^1/2

Question 42

Slope of parallel lines

Answer 42

same

Question 43

Line perpendicular lines to each other

Answer 43

negative recipicals of each other

Question 44

Graph of absolute value

Answer 44

Bend in graph bends at 0 usually

Question 45

Trig identites

Answer 45

sin²x+cos²x=1 1+cot²x=cscx tan²x+1=sec²x

Question 46

Double angle formulas

Answer 46

sin(2x) = 2sinxcosx ``` cos(2x)= cos^2x-sin^2x = 2cos^2x-1 = 1-2sin^2x tan(2x)= (2tanx)/(1-tan^2x) ```

Question 47

Convert radians to degrees

Answer 47

x/(desired radian)=360/2π

Question 48

Convert degrees to radians

Answer 48

x/degree=2π/360

Question 49

Sinx=y graph

Answer 49

Repeats every 360

Question 50

Cosx=y graph

Answer 50

Repeats every 360

Question 51

Tanx=y graph

Answer 51

Repeats every 90

Question 52

Inverse of sin

Answer 52

arcsingx -90\<= x\<= 90 can not be defined at x\<-1 and x\>1

Question 53

Inverse tan

Answer 53

arc tan undefined at -90 and 90

Question 54

Sine recipical Cosine reciprocal Tangent reciprcal

Answer 54

Cosecant Secant Cotangent

Question 55

Surface area of retangular solid

Answer 55

2lw+2wh+2lh

Question 56

Permuation

Answer 56

Specific order N!/(N-R)!

Question 57

Combination

Answer 57

N!/(R!(N-R)! order does not matter ABC=BCA