Math Flashcards

(46 cards)

1
Q

sum

A

addition

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2
Q

product

A

multiplication

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3
Q

quotient

A

division

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4
Q

difference

A

subtraction

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5
Q

mean

A

average

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6
Q

what do you do when given the average

A

sum=(average)(quantity)

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7
Q

median

A

middle number (must be in order)

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8
Q

mode

A

most frequent number

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9
Q

range

A

biggest number minus the smallest

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10
Q

how do you find “halfway” between two numbers?

A

take the average

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11
Q

how do you setup a proportion?
“this is to that as this is to that “
2 cups = 3 eggs
5 cups = ? eggs

A

2 cups/3 eggs = 5 cups/x eggs
think meow/cat = bark/dog
or
2 cups/5 cups = 3 eggs/x eggs

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12
Q

whole numbers

A

0,1,2 . . .

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13
Q

natural numbers

A

1,2,3

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14
Q

integers

A

-2,-1,0,1,2

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15
Q

rational

A

can be a fraction ie: 2, 5, 5 etc

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16
Q

irrational

A

cannot be a fraction ie: ℼ √2

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17
Q

complex

A

aka imaginary “i”

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18
Q

what is the percent ratio?
how do you turn a percent- decimal?
what is 30% of 120?
(what does “of”mean?)

A

is/of=percent/100
move decimal left twice (32% = .32)
30% of 120= .30 x 120 = 36

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19
Q

percents
discounts and tips
20% off and %15 tip

A

20% off =80% remaining = (80) (#)
15% tip= 115% remaining = (1.15) (#)

20
Q

1,800 is 60% of what?

A

1800/x = 60/100 –> x=3,000

21
Q

How many integers between 1 and 16

A

14
How?
first test a smaller interval
find the pattern
apply it to the actual question

22
Q

what does inclusive mean

A

including exponents

23
Q

interquartile range

24
Q

do you know how to read stem & leaf plots?

A

2 l 1 3 4
21, 21, 23, 24

25
what would your first step b when simplifying 3-(2x+2)
3-(2x+2) distribute the minus sign 3-2x-2 = 1-2x
26
what are factors
*you can only cancel factors factors are what is being multiplied ie: 10: 1,2,5,10
27
what are multiples
multiples are the products when multiplying by 1,2,3 . . . etc. ie:10: 10,20,30 . . . etc.
28
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
29
distance rate & time
"dirt" D=RxT R= something per something
30
converting units
30 inches x 1 ft/ 12 in. = 30/12 feet
31
what is a prime number
only divisible by one
32
what is the first/smallest prime number? 0,1,2
2
33
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
34
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"
35
what is the cost equation? $500 fee & $25/day
y= fees + (price per something)x y=500+25x
36
how do you calculate distance
subtraction
37
what is the equation of a line "linear"
y=mx+b m= slope b= y-intercept
37
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
38
distance between two points
d√(x2-x1)^2+(y2-y1)^2
39
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)
40
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)
41
how do you graph 4=2×-3 ?
1. plot the y-intercept (0, -3) 2. up to over 1 for the next point
42
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)
43
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, #)
44
when solving inequalities, what do you need to remember?
flip direction of the sign when you multiply or divide both sides by a negative
45
probability what does "and" & "or" mean?
number of desired outcomes/ number of total outcomes and = multiply or = add