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General Education > Basic Math > Flashcards

Basic Math Flashcards

1
Q

Order of Operations (PEMDAS)

A
  • Parenthesis
  • Exponents
  • Multiply and
  • Divide (left to right)
  • Add
  • Subtract (left to right)
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2
Q

5 + (3*1)² + 4 - 5
= 5 + (3)² + 4 - 5
= 5 + 9 + 4 - 5
= 18 - 5
= 13

A

Correct (PEMDAS)

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3
Q

A number greater than 1 and has only 2 factors: 1 and itself

A

Prime Number

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4
Q

smallest number divisible by all of the numbers in a set

A

Least Common Multiple

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5
Q

LCM WORD PROBLEMS

A
  • smallest number
  • least number
  • same time
  • same day
  • blink together
  • flicker together
  • meet together
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6
Q

GCF WORD PROBLEMS:

A
  • greatest number
  • largest number
  • biggest number
  • highest number
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7
Q

Comparison of 2 quantities by division

A

Ratio

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8
Q

Equality of 2 ratios

A

Proportion

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9
Q

Both quantity increase or both decrease

Formula: x¹ x²
— = —
y¹ y²

A

Direct Proportion (cross multiply)

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10
Q

One quantity increases, the other decreases and vice versa

Formula: x¹y¹ = x²y²

A

Inverse Proportion

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11
Q

One quantity is being partitioned into different proportions

Clue: Total and Ratio

What to do? Add the ratio, then divide. Lastly, multiply

A

Partitive Proportion

ex. 3x + 5x = 40
8x = 40
x = 5
— divide both sides by 8

3x for boys
= 3x
= 3(5)
= 15

5x for girls
= 5x
= 5(5)
= 25

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12
Q

Interest paid only on the principal amount

Formula: I = Prt

A

Simple Interest

ex. (30,000) (0.10) (6/12)

(3,000) (6)
—————
12

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13
Q

The amount of increase is called

A

Markup

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14
Q

Formula of markup

A

Markup = cost x rate

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15
Q

Cost price of an item

A

Selling Price

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16
Q

Formula of selling price

A

Selling price = cost + markup

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17
Q

Price decrease

A

Discount

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18
Q

Discount formula

A

Discount = price x rate

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19
Q

Price offered at a discount

A

Sale Price

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20
Q

Sale Price Formula

A

Discount = Price - Discount then, Sale Price = price - discount

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21
Q

Fee paid for services

A

Commission

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22
Q

Formula of Commission

A

Commission = amount sold x rate

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23
Q

The number of units a number is away from 0 in a number

A

Absolute Value

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24
Q

Sum or the product is a unique real number which belongs to the same set

ex. 125 + 34 = 159

A

Closure Property

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25
Q

Changing the position of the addends or the factors does not affect the sum or the product

ex. 12+2 = 2+12 (addition)
133 = 313 (Multiplication)

A

Commutative Property

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26
Q

Changing the grouping of the addends in a sum or the grouping of the factors in a product does not change the resulting sum or product

ex. (2 + 3) + 4 = 2+ (3+4) addition

A

associative property

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27
Q

Sum of any number and zero is the same number. Zero is the identity

ex. 34 + 0 = 34

A

Identity Property of Addition

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28
Q

Product of any number and 1 is the same number. 1 is the identity

ex. 32 x 1 = 32

A

Identity Property of Multiplication

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29
Q

The sum of two other numbers, the first number can be handed out or distributed to both numbers and multiplied by each of them

ex. 3 (8 + 5) = 3(8) + 3 (5)

A

Distributive Property

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30
Q

When adding and subtracting polynomials — combine like terms

A

Correct

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31
Q

When multiplying and diving polynomials — substitute 2 to the X’s of the problem.

Then check using the options.

A

Correct

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32
Q

When factoring and Rationalizing polynomials, substitute 2 to the X’s of the problem.

Then check it using the options.

A

Correct

33
Q

In a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

A

Pythagorean Theorem

34
Q

Formula of Pythagorean theorem:

A

C² = a² + b²
A² = c² - b²
B² = c² - a²

35
Q

Means chances

Formula: P (E) = Number of favorable outcomes
————————
Total Number of possible outcomes

A

Probability

36
Q

Formed 2 arrays sharing a common endpoint

A

Angles

37
Q

Not more than 90 degress

A

Acute Angles

38
Q

exactly 90 degrees

A

Right angles

39
Q

More than 90 but less than 180 degress

A

Obtuse Angle

40
Q

exactly 180 degrees

A

Straight Angle

41
Q

2 angles combined = 90 degrees

A

Complementary Angles

42
Q

2 angles combined= 180 degrees

A

Supplementary Angles

43
Q

2 angles formed intersecting lines — always equal

A

Vertical Angle

44
Q

2 angles share a vertex — side but do not overlap

A

Adjacent Angles

45
Q
  • closed figure
  • straight sides
  • no curves
  • no overlapping
A

Polygons

46
Q

3 sided figure — sum of interior angles is 180⁰

A

Triangle

47
Q

4 sided figure — interior angles is 360⁰

A

Quadrilateral

48
Q

5 sided figure — interior angles 540⁰

A

Pentagon

49
Q

6 sided figure — interior angles is 720⁰

A

Hexagon

50
Q

7 sided figure, interior angles is 900

A

Heptagon

51
Q

8 sided figure, interior angles 1080

A

Octagon

52
Q

9 sided figured interior angles is 1260

A

Nonagon

53
Q

10 sided polygon, interior angles is 1440

A

Decagon

54
Q

11 sided polygon, interior angles is 1620

A

Undecagon

55
Q

12 sided polygon — 1800

A

Dodecagon

56
Q

Sum of interior angles of polygon

Formula:

A

(n - 2) × 180

57
Q

Each interior angle of a polygon formula:

A

(n-2) × 180
—————
n

58
Q

Has 4 sides and 4 interior angles

A

Quadrilaterals

59
Q

1 pair of parallel sides

A

Trapezoid

60
Q

2 pairs of parallel sides
opposite sides are equal
opposite angles are equal

A

Parallelogram

61
Q

2 pairs of parallel sides
opposite sides equal
All right angles

A

Rectangle

62
Q

All sides equal
Opposite angles equal

A

Rhombus

63
Q

All sides equal
All right angles

A

Square

64
Q

2 separate pairs of equal adjacent sides

A

Kite

65
Q

Perimeter of Rectangle formula

A

P= 2L + 2W
P = 2 (L + W)

66
Q

Perimeter of Square formula

A

P= 4s

67
Q

Perimeter of Triangle formula

A

P = s¹ + s² + s³

68
Q

Circumference of circle formula

A

C = 2πr

69
Q

Area of Rectangle

A

A = L × W

70
Q

Area of Square

A

A = s²

71
Q

Area of triangle

A

A = ½ bh

72
Q

Area of circle

A

A = πr²

73
Q

Total surface area of rectangular prism formula

A

TSA = 2LW + 2WH + 2HL

74
Q

Volume of Rectangular Prism

A

V = L × W × H

75
Q

Total Surface Area of Cube

A

TSA = 6s²

s = edge

76
Q

Volume of Cube

A

V = s³

77
Q

Has no equal sides

A

Scalene triangle

78
Q

Has 2 equal sides

A

Isosceles triangle

79
Q

All 3 sides are equal

A

Equilateral triangle

General Education (8 decks)

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