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Math Flashcards

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SAT® Prep flashcards
1
Q

Integers

A

positive, negative, and zero whole numbers

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2
Q

integer zero even or odd

A

neither or even

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3
Q

even+even=

A

even

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4
Q

odd+odd=

A

even

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5
Q

odd+even=

A

odd

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6
Q

evenXeven=

A

even

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7
Q

oddXodd=

A

odd

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8
Q

oddXeven=

A

even

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9
Q

to find the least positive integer divisible by a number

A
  1. eliminate smaller numbers (if one of the numbers is 4, eliminate 2)
  2. multiply them all together and check to see if thats the lowest possible
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10
Q

when you divide any positive integer by three

A

the remainder must be less than or equal to 2

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11
Q

prime number

A

number whose only factors are 1 and itself

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12
Q

union of sets

A

all the numbers from both in one, duplicates not repeated

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13
Q

intersection of sets

A

one the numbers that are repeated in both sets

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14
Q

combinations problems (how many combinations of this are possible)

A

multiply the number of choices from each section together

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15
Q

permutations and combinations

A

combinations that are limited after every round. ex. theres a four letter password but no letter can be used more than once. so do 26x25x24x23. order doesn’t matter.

there are 12 students in a class, 2 will be chosen, how many different pairs? 12X11 then divide by 2 since they can be chosen 2 different ways

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16
Q

difference of two squares a^2-b^2

A

(a+b)(a-b)

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17
Q

when an exponent is raised to a second exponent like (n^3)^6

A

multiply them

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18
Q

working with “unsolvable” equations

A

if an equation is unsolvable, factor it and plug in the value given

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19
Q

inversely proportional word problem

A

a=k/b, plug in numbers you know to find k, plug in the rest to find your answer

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20
Q

a car traveling at an average rate of blank can make the trip in blank, how much longer would it be going at this rate

A

use distance formula

21
Q

complementary angles

A

two angles whose measures have a sum of 90degrees

22
Q

30 60 90 triangles legs

A

short leg=x
long leg=xroot3
hypotenuse=2x

23
Q

45 45 90 triangle legs

A

equal legs=x

hypotenuse= xroot2

24
Q

3-4-5 triangles

A
  • the sides have a ration of 3:4:5
  • short leg=3x
  • other leg=4x
  • hypotenuse=5x
  • so if x=2 then the leg lengths are 6, 8, and 10
25
Q

congruent triangles

A

same size and shape

26
Q

similar triangles

A

same angles, different size but ratio of sides are the same

27
Q

two triangles are similar if

A
  • two pairs of corresponding angles each have the same measure
  • one pair of corresponding angles has the same measure, and the pairs of corresponding sides that form those angles have lengths that are in the same ratio
28
Q

the sum of any two sides of a triangle

A

is greater than the length of the third side

29
Q

parallelogram

A
  • slanted rectangle

- equal opposite angles

30
Q

rectangles

A

type of parallelogram

31
Q

squares

A

type of rectangle

32
Q

square sliced in half

A

two 45-45-90 triangles

33
Q

area of a triangle

A

(1/2) bh

34
Q

area of a parallelogram

A

length times height

35
Q

regular polygon

A

a polygon whose sides all have the same length and whose angles all have the same measure

36
Q

angles in a polygon

A

180(n-2)

37
Q

arc

A
  • piece of circle with rounded edge (like pie piece)
  • number of degrees in the arc equals the number of degrees in the angle formed by the two radii at the center of the circle called the central angle
  • aka curved angle in degrees equals the degree
38
Q

tangent

A

line that touches circumference at one point, straight

39
Q

circumference equation

A

2pir or pid

40
Q

area of a circle

A

pir^2

41
Q

volume of a prism

A

height times area of its base

42
Q

volume of a right circular cylinder

A

V=pir^2h

43
Q

distance formula

A 
d= square root (X2-X1)^2+(Y2-Y1)^2
distance= rate x time
44
Q

Point of symmetry

A
  • point of rotation

- doest change the point or the shape

45
Q

weighted average

A

the average of two or more groups that do not all have the same number of members.
(#x members)+(#x members) over the total number of people

ex. 15 members had an average score of 500, the remaining 10 had an average of 550.
(500X15)+(550X10) over 25= 520

46
Q

average of algebraic expressions

A

average/arithmetic mean of 3x+1 and x-3 is just (3x+1)+(x-3) over 2

47
Q

using averages to find missing numbers

A
  • sum of a list of values over number of values on the list=average
  • average X number of values = sum of values
  • once you ring the sum of the second set of values, subtract it from the sum of the first
48
Q

independent probability

A

the outcome of either event has no effect on the other. multiply the probably of each event together to get total probability

SAT (5 decks)

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