Math Flashcards
The average set of numbers.
Mean
The middle number in a set of data
Median
The number that occurs most often
Mode
The difference between the smallest data value and the largest
range
Have exactly 2 factors: 1 and itself
prime numbers
Have more than 2 factors
composite numbers
can be written as a ratio of 2 integers where the denominator is not 0
REPEATING decimals
0.68, 5, 1.5, 20, 0.686868, 0.123123123
rational
Cannot be written as a ratio of 2 integers
square root of 2, pie, square root of 5
NON-REPEATING decimals
irrational
Includes 1,2,3,4
Natural
Includes 0, 1, 2, 3
Whole numbers
x^m/n = n (square root (x))^m
nice
slope-intercept form
y=mx+b
Standard form
ax+by=c
The cost of a ticket and dinner is
t+d=
Pat ate 5 candies for every 2 that Marvin ate
p/m=5/2
the difference between Sara’s salary and pat’s salary is $100
Is-pI=100
Peter is 4 years older than Lauren
p=L+4
The discount is 25% off price p
d=.25p
What percent is
x/100
3 consecutive integers
x, x+1, x+2
3 consecutive even integers
even x, x+2, x+4
3 consecutive odd integers
odd x, x+2, x+4
Review Matrices
log25 5=
logb a=x
b^x=a
1/2
Corresponding angles are __________. which means
must use with
congruent the same
parallel lines
Alternate angles are ________. which means
must use with
congruent are the same
parallel lines
Interior angles on the same side of a transversal are________. which means____.
must use with
supplementary add up to 180
parallel lines
Vertical angles are formed when two lines intersect. Vertical Angles are ________. which means
must use with
congruent=same
parallel lines
Review Plane and solid geometry
Area of a circle
pie r^2
Circumference of a cirlce
2 pie r or pie d
Draw a equilateral triangle
equal sides
draw a isosceles triangle
two sides equal two angles equal
Draw a scalene triangle
none equal
Draw a right triangle
right angle
Pythagorean theorem
a^2 + b^2 = c^2
45-45-90
a=b
c=a square root 2
30-60-90
b=a square root 3
c=2a
Surface area of a cylinder
2 pie r^2 + 2 pie r h
Distance formula
square root (x2-x1)^2 + (y2-y1)^2
Midpoint formula
(x1+x2)/2 , (y1+y2)/2
Slope formula
change in y/change in x
(y2-y1) / (x2-x1)
Point slope form
slope=4
point= (1,3)
y-y1=m(x-x1)
y-3=4(x-1)
parallel lines have the _______ slope
same
y=2/3x-2
y=2/3x+4
Perpendicular lines have the _____ ________ slope
negative reciprocal
y=3x-4
y= -1/3x+2
Find the radius and center of the circle from this equation
(x+2)^2 + (y-3)^2 = 49
(x-h)^2 + (y-k)^2 =r^2
(-2, 3) r=7
Sine
o/h
Cosine
a/h
Tangent
o/a
cosecant
1/sin
or h/o
secant
1/cosine
or h/a
cotangent
1/tangent
a/o
y=A sin (f(x-h)) + B
A=amplitude
f=frequency
B= midpoint
h=horizontal shift
For ax^2+bx +c=0 whats the quadratic formula?
x=(-b+- sqaure root (b^2-4ac))/2a
Distance =
rate times time
percent change formula
(new-old)/old x 100
Arc length formula
angle/360 x 2pie r
or AL=r x angleSe
Sector area formula
angle/360 x pie r^2
or 1/2 r^2 angle
Area of parallelogram
bh
Area of trapezoid
1/2(b1+b2)h
Area of triangle
1/2 bh
area of a cube
6s^2
volume of cube
s^3
volume of rectangular prism
lwh
volume of culinder
pie r^2 h
volume of sphere
4/3 pie r^3
