Math Flashcards
sum
addition
product
multiplication
quotient
division
difference
subtraction
mean
average
what do you do when given the average
sum=(average)(quantity)
median
middle number (must be in order)
mode
most frequent number
range
biggest number minus the smallest
how do you find “halfway” between two numbers?
take the average
how do you setup a proportion?
“this is to that as this is to that “
2 cups = 3 eggs
5 cups = ? eggs
2 cups/3 eggs = 5 cups/x eggs
think meow/cat = bark/dog
or
2 cups/5 cups = 3 eggs/x eggs
whole numbers
0,1,2 . . .
natural numbers
1,2,3
integers
-2,-1,0,1,2
rational
can be a fraction ie: 2, 5, 5 etc
irrational
cannot be a fraction ie: ℼ √2
complex
aka imaginary “i”
what is the percent ratio?
how do you turn a percent- decimal?
what is 30% of 120?
(what does “of”mean?)
is/of=percent/100
move decimal left twice (32% = .32)
30% of 120= .30 x 120 = 36
percents
discounts and tips
20% off and %15 tip
20% off =80% remaining = (80) (#)
15% tip= 115% remaining = (1.15) (#)
1,800 is 60% of what?
1800/x = 60/100 –> x=3,000
How many integers between 1 and 16
14
How?
first test a smaller interval
find the pattern
apply it to the actual question
what does inclusive mean
including exponents
interquartile range
IQR: Q3-Q1
do you know how to read stem & leaf plots?
2 l 1 3 4
21, 21, 23, 24
what would your first step b when simplifying 3-(2x+2)
3-(2x+2)
distribute the minus sign
3-2x-2 = 1-2x
what are factors
*you can only cancel factors
factors are what is being multiplied
ie: 10: 1,2,5,10
what are multiples
multiples are the products when multiplying by 1,2,3 . . . etc.
ie:10: 10,20,30 . . . etc.
Pythagorean theorem and when do you use it
what is c always equal to
a^2+b^2=c^2
to find the third side of a right triangle
c is the hypotenuse
distance rate & time
“dirt”
D=RxT
R= something per something
converting units
30 inches x 1 ft/ 12 in. = 30/12 feet
what is a prime number
only divisible by one
what is the first/smallest prime number? 0,1,2
2
what does “distinct” mean?
ie: distinct prime factors of 80
distinct=different/separate
prime factors: 2 x 2 x 2 x 2 x 5
distinct prime factors: 2 and 5
absolute value
1. Always equal to?
2. mathematically solve
first solve then make positive
1. lanythingI =0
2.
lxl = 3 (x=3, x=-3)
lxl < 3 (x<3 x>-3 less th”and”
lxl > 3 (x>3, x<-3) great”or”
what is the cost equation?
$500 fee & $25/day
y= fees + (price per something)x
y=500+25x
how do you calculate distance
subtraction
what is the equation of a line
“linear”
y=mx+b
m= slope
b= y-intercept
how do you solve for the slope?
what is “rate of change”?
m= subtract the y’s/subtract the x’s=y2-y1/x2-x1
distance between two points
d√(x2-x1)^2+(y2-y1)^2
how do you solve for the midpoint?
(-2,4) (1,8)
(average the x’s, average the y’s)
(-2+1/2, 4+8/2)= (-1/2, 6)
given an endpoint and the midpoint
how do you find the second endpoint?
endpoint (1,6)
midpoint (3,-2)
endpoint (?,?)
x-values: 1+2=3 so, 3+2=5
y-values : 6-8=-2 so, -2-8=-10
endpoint: (1,6)
midpoint: (3,-2)
endpoint: (5, -10)
how do you graph 4=2×-3 ?
- plot the y-intercept (0, -3)
- up to over 1 for the next point
how do you graph
y< 2×-3 vs . y ≥ 2×-3
y< 2×-3 (< means dotted line shade below) y ≥ 2×-3 (≥ means solid line shade above)
How do you solve for the y-intercept and x-intercept
2x+3y=4
x-intercept : Plug in y=0
and solve for x (#,0)
y-intercept: plug in x=0 and solve for y (0, #)
when solving inequalities, what do you need to remember?
flip direction of the sign when you multiply or divide both sides by a negative
probability
what does “and” & “or” mean?
number of desired outcomes/ number of total outcomes
and = multiply
or = add
