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Math Formulas
for exam
59
Mathematics
8th Grade
05/01/2012

Additional Mathematics Flashcards

 


 

Cards

Term
Slope Formula
Definition

   y2-y1

m= --------

     x2-x1

Term
Distance Formula
Definition

d=√(x2-x1)2 + (y2-y1)2

 

Term

Distance Formula 

(in space)

Definition
d=√(x2-x1)2 + (y2-y1)2 + (z2-z1)2
Term
Arc Length Formula
Definition

N

   L = ------ · 2∏r

360

Term
Midpoint Formula 
Definition

(x1 + x2, y1 + y2)

 --------- ----------

  2           2   

Term

Midpoint Formula 

(in space)

Definition

             (x1 + x2, y1 + y2, z1 + z2)

                --------- ---------- ----------

                 2           2            2

Term
Area of Square
Definition
A=s2
Term
Area of Rectangle
Definition

A=lw

A=Bh

Term
Area of Parallelogram
Definition
A=Bh
Term
Area of Trapzoid
Definition
A=½h(b1+b2)
Term
Area of Rhombus
Definition

A=½d1d2

A=bh

Term
Area of Triangle
Definition
A=½bh
Term
Area of Regular Polygon
Definition
A=½Pa
Term
Area of Circle
Definition
A=∏r2
Term
Area of Sector of Circle
Definition

N

  A = ------ · ∏r2

360

Term
Pythagorean Theorem
Definition
a2 + b2 = c2
Term
Perimeter of Square
Definition
P=4s
Term
Perimeter of Rectangle 
Definition
P=2l + 2w
Term
Circumference of Circle
Definition
C=2∏r or ∏d
Term
Quadratic Formula
Definition
x= -b, -b + or - square root, + or - square root b2 - 4ac, b2 - 4ac all over 2a all over 2a
Term
Lateral Area of Prism
Definition
L=Ph
Term
Lateral Area of Cylinder
Definition
L=2∏rh
Term
Lateral Area of Pyramid
Definition
L=½Pl
Term
Lateral Area of Cone
Definition
L=∏rl
Term
Surface Area of Prism
Definition
SA=Ph + 2B
Term
Surface Area of Cylinder
Definition
SA=2∏rh + 2∏r2
Term
Surface Area of Pyramid
Definition
SA=½Pl + B
Term
Surface Area of Sphere
Definition
SA=4∏r2
Term
Volume of Cube
Definition
V=s3
Term
Volume of Rectangular Prism
Definition
V=lwh
Term
Volume of Prism
Definition
V=Bh
Term
Volume of Cylinder
Definition
V=∏r2h
Term
Volume of Pyramid
Definition
V=1/3Bh
Term
Volume of Cone
Definition
V=1/3∏r2h
Term
Volume of Sphere
Definition
V=4/3∏r2
Term
Slope-Intercept Form
Definition
y=mx+b
Term
Point-Slope Form
Definition
y-y1=m(x-x1)
Term
Circle Formula
Definition
(x-h)2 + (y-k)2 = r2
Term
Law of Sines
Definition

       sin A         sin B        sin C

       ---------- = ---------- = ---------- 

       a              b               c 

Term
Law of Cosines
Definition

a2=b2 + c2-2bc cos A

b2=a2 + c2-2ac cos B

c2=b2 + a2-2ab cos C

Term
Central Angles
Definition
all central angles added together = 360
Term
Arc Length
Definition

A (degree of arc)          l (arc length)

---------------------- = --------------------

360                        2∏r

Term
Inscribed Angle
Definition
angle=½ arc
Term
Conditional Statement
Definition

p→q

hypothesis then conclusion

Term
Converse Statement
Definition

q→p

conclusion then hypothesis

Term
Inverse Statement
Definition

~p→~q

If not p then not q

Term
Contrapositive Statement
Definition
~q→~p
Term
Undefined Terms 
Definition
Point, Line, Plane
Term
Line
Definition
undefined term of geometry, made up of points, not 3D, goes on forever
Term
Segment
Definition
A measurable part of a line that consists of 2 points, called endpoints, and all the points between them
Term
Ray 
Definition

P-------Q------R-->

PQ is a ray if it is the set of points consisting of PQ and all points S for which Q is between P and S 

Term
Theorems 
Definition
A statement or conjecture that can be proven true by undefined terms, definitions, and postulate
Term
Corollaries 
Definition
A statement that can be easily proved using a theorem, called a corallary of that theorem
Term
Secant
Definition
Any line that intersects a circle in exactly 2 points
Term
Tangent 
Definition
A line that intersects a circle at one point
Term
SOH-CAH-TOA
Definition

sin-opposite over adjacent

cos-adjacent over hypotenus

tan-opposite over adjacent 

 

Term
Law of Detachment 
Definition

If p→q is true and p is true, then q is true 

[(p→q) Λ p]→q

Term
Law of Syllogism
Definition

If p→q and q→r are true, then p→r is also true

[(p→q) Λ (q→r)]→(p→r)

Term
Conjunction and Disjunction
Definition

p Λ q ---- p and q

p V q ---- p or q

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