Math Flashcards

1
Q

non- real numbers

A

1) Square root of a negative number

2) any number divided by 0

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2
Q

What number is a factor of every number?

A

1

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3
Q

3 Rules of Prime Numbers

A

1) ) is not a prime number as it is divisible by more than two factors. (Zero divided by anything is still zero)
2) One is not a prime number, because it has only one factor: itself
3) Two is the only even prime, because it’s the one even number with exactly 2 factors.

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4
Q

Composite numbers

A

1) Have more than 2 factors, and can be divided by more than 1 and itself.
2) Any composite number can be broke down to its prime factors.

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5
Q

(x)**0

A

=1; for any x;

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6
Q

y**-4

A

1/y**4

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7
Q

(x3)(x2)=

A

x(3+2) = x5

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8
Q

(x5) / (x3) =

A

x(5-3) = x2

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9
Q

(x2)3

A

=x(2x3)=X6

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10
Q

14x3 - 9x2

A

= 14x3 - 9x2

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11
Q

(a + b)(a - b)

A

a2 - b2

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12
Q

(a + b)**2

A

a2 + 2ab + b2

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13
Q

(a - b)**2

A

a2 - 2ab + b2

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14
Q

√ 2

A

~ 1.41

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15
Q

distance formula

A

a2 + b2 = c**2

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16
Q

distance bt two points

A

√(x2 - x1)2 + (y2 - y1)2

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17
Q

Slope formula

A

(y2 - y1)/ (x2 - x1)

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18
Q

Equation of a line (slope - intercept form)

A

y = mx + b

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19
Q

midpoint of a line segment

A

( (x1+x2) / 2, (y1 + y2) / 2 )

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20
Q

Complementary angles

A

2 angles together form a right angle

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21
Q

Supplementary angles

A

2 angles together form a straight line

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22
Q

vertical angles

A

opposite angles where 2 lines cross. Have equal measures.

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23
Q

transversal

A

a line that cuts through two other lines

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24
Q

Transversal angles

A

formed where the transversal intersects with the other two lines

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25
Q

When a transversal cuts through two parallel lines…

A

it forms two sets of four equal angles.

26
Q

Heptagon

A

a polygon with 7 equal sides

27
Q

dodecagon

A

a polygon with 12 equal sides

28
Q

nonagon

A

a polygon with 9 equal sides

29
Q

decagon

A

a polygon with 10 equal sides

30
Q

Perimeter of a polygon

A

The sum of the lengths of the sides

31
Q

Regular polygons

A

Polygons with all sides equal and all angles equal

32
Q

Equilateral polygons

A

Polygon with all sides having the same length

33
Q

total Interior Angle measurement of a polygon

A

(n - 2 )180 ; where n is the number of sides

34
Q

Average measure of one angle in a polygon

A

(( n - 2) 180) / n ; where n is the number of sides

35
Q

Equilateral triangle

A

a triangle with 3 equal sides and 3 equal angles

36
Q

Isosceles triangle

A

a triangle with 2 equal sides and 2 equal angles

37
Q

Right triangle

A

a triangle with one 90 degree angle

38
Q

Area of a triangle

A

1 / 2 Base X Height

39
Q

Area of a Square

A

Base x height or side ** 2 or 1/2 * Diagonal**2

40
Q

3 common right triangle side ratios

A

a) 3: 4 : 5
b) 5 : 12 : 13
c) s:s:s√2

41
Q

ratio of sides for a 30:60:90 triangle

A

s : s√3 : 2s ; where s is the length of the short side

42
Q

area of a rhombus

A

1/2 D1 * D2

43
Q

area of a rectangle

A

length * width

44
Q

area of a parallelogram

A

= base * height

45
Q

Area of a trapezoid

A

1/2 (base1 + Base2) * height

46
Q

Circumference

A

distance around a circle. 2 π r

47
Q

π

A

circumference/ diameter = 3.14

48
Q

Area of a circle

A

π r **2

49
Q

Central Angle

A

an angle with its vertex at the center of a circle and its endpoints on the circumference.

50
Q

Angular measure of a central angle

A

is the same as the degree measure of its intercepted arc (the part of the circle’s circumference that falls between the two points where the angles’ lines touch the circle.)

51
Q

Inscribed angle

A

An angle that has both its vertex and endpoints on the circumference.

52
Q

Angular measure of an inscribed angle

A

= 1/2 the degree measure of its intercepted arc

53
Q

When a central angle and an inscribed angle have the same endpoints…

A

the degree measure of the central angle is twice that of the inscribed angle.

54
Q

sector

A

a portion of the area of a circle that comes from a central angle.

55
Q

Volume of cube with side = s

A

s ** 3

56
Q

Volume of regular rectangular solid

A

length X width X height

57
Q

Volume of cylinder

A

= π r**2 h

58
Q

Surface area of a cube

A

6 s**2

59
Q

Rectangular solid surface area

A

2 ( L W ) + 2 (W H) + 2 (H L)

60
Q

Cylinder surface area

A

Circumference * Height + 2 π r **2