mtel math flashcards

1
Q

Euler’s Formula

A

Used for polyhedrons (3D shape)

V + F - E = 2

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2
Q

How to find edges on a polyhedron

A

Edges = (# of sides on a face) X ( # faces) / 2

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3
Q

Surface Area Formula

A

SA=2LW+2LH+2HW

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4
Q

Box + Whisker Plot or Box plot

A
  • 4 quadrants (Q1, Q2, Q3, Q4) all rep. 25% of the data

- you can see min, max, median, and median of q2 and q3

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5
Q

Pick’s Theorem

A

-Used to find the area of an irregular polygon
- A=B/2 + I -1
B=border points or line of intersection or pegs on outside
I=Inside points

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6
Q

Net

A

2D representation of a 3D figure

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7
Q

Mean

A

Average: add up #’s and divide by how many #’s there are

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8
Q

Median

A

Middle #. If there are 2 in the middle, add them up and divide by 2

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9
Q

Mode

A

Most repeating number

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10
Q

Probability

A

Part/Whole

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11
Q

Link Probability

A

-When you are trying to find 2 options, multiply them together
part/whole * part/whole

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12
Q

Slope-intercept form

A

y=mx + b

m: slope
b: y-intercept

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13
Q

Slope

A

M= Rise/ Run

y2-y1/ x2-x1

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14
Q

Common Conversions

A
12 inches=1 foot
36 inches=1 yard
5,280 feet=1 mile
3 feet=1 yard 
1,760 yards= 1 mile
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15
Q

Equilateral Triangle

A

All sides and angles are equal

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16
Q

Congruent

A

Identical figures (same angles and same sides

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17
Q

Shapes that are Similar

A

sides are big or smaller, but angles are the SAME

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18
Q

Symmetry

A

Mirror image in respect to a reflection

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19
Q

Rhombus

A

sides are the same, but angles are different!!

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20
Q

Supplementary Angles

A

2 angles on a straight line that add up to 180 degrees

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21
Q

Complimentary Angles

A

Sum is 90 degrees. Like the corner of a shape

22
Q

Angles of a triangle

A

inside angles add up to 180 degrees

23
Q

Relative Prime #’s (co-prime)

A

Numbers that share no common divisor (except 1) aka they have a GCF of 1

24
Q

Distance Formula

A

D=rate*time

***divide by 2 to get the average speed

25
Q

Polygon

A

2D, closed shape, straight lines

26
Q

Scientific Notation

A
  • anything to the 0 power is 1
  • a negative exponent should be flipped to a fraction (and decimal point would be moved to left instead of right)
  • every-time you multiply by 10, you shift the decimal point to the right once
27
Q

Least common Multiple (LCM)

A

When doing the ven diagram method, multiple all the numbers in the diagram. GCF is only the ones in the middle

28
Q

Factors vs. multiples

A

Factors: the #’s that are multiplied to get a given # (always fewer because there are a set # of ways to multiple to get a #)
Multiples: the #’s you say when you skip count by a given # (always will be more) numbers r infinite!

29
Q

Isoscles Triangle

A

2 equal sides

30
Q

Inverse Relationship

A

y=k/x

as x increases, y decreases
as x decreases, y increases
k=constant of portion or rate

31
Q

Direct Relationship

A

y=k*x

k=the constant or rate

32
Q

Functions

A

x: input
y: input
- 1 input can only have 1 output
- do the vertical line test. it should only intersect ONE time

33
Q

Distributive property

A

a(b+c) = ab + ac
or
a(b+c+d)=ab+ac+ad

34
Q

Commutative property

A

think of 2 terms! Adding or multiply these 2 terms is always going to get you the same answer!

a + b = c so b + a = c
or
a X b =c so b X a =c

35
Q

Associate Property

A

thinking of a condo association. the order in which #’s are grouped does not affect sum or product. 3 or more terms!

(a + b) + c = d
a + (b+c) = d

36
Q

Additive identity property

A

if u add 0 to an addend, the sum will equal the addend

37
Q

Multiplicative identity

A

if u multiply by a factor of 1, the product will equal that factor

38
Q

GCF

A

when doing the venn diagram, multiply the numbers in the MIDDLE. do prime factorization first.

39
Q

Rational Number

A
  • # ’s that can be represented as a fraction
  • fractions, percents, integers, decimals
  • Rat X Rat = Rat
  • ALWAYS A RAT
40
Q

Irrational Number

A
  • any # that cannot be expressed as a simple fraction
  • does not have terminating or repeating decimals
  • example: square roots of non-prime #’s
  • pie (3.14)
  • irrational/irrational can give you a RAT
41
Q

Volume of a prism

A

V = lwh

42
Q

Volume of a cylinder

A

V = pier^2h
or
V=piedh

43
Q

Area of a circle

A

A=pier^2
or
A=pie
d

44
Q

Circumference of a circle

A

2pier
or
pie*d

45
Q

pythagorean theorem

A
  • only works for right triangles

- a^2 X b^2=C^2

46
Q

Base 10, 5, 3

A

Put the # in boxes. starting at whatever base they ask for and start with that base times to the 0,1,2,3,4 power. then add up the answers. this is a place value question.

47
Q

Arrays

A

Fraction X Fraction

48
Q

Bisect

A

divide into equal parts

49
Q

Parallel Lines

A

Lines that will never cross. When trying to find a line that is parallel to another line, the slope will be the SAME

50
Q

Perpendicular Lines

A

Lines that will intersect. When finding the slop of a perpendicular line, the slope will be OPPOSITE of the other line.

51
Q

Area of a trapezoid

A

A=1/2(b1 + b2)h