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Common Core > Math > Flashcards

Math Flashcards

0
Q

When Adding: a Negative number + a Negative number will = a ______ number
-2+-3

A

Negative

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1
Q

When Adding: a Positive number + a Positive number will = a _______ number.
2+3

A

Positive

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2
Q

When Multiplying: a Positive number X a Positive number will = a ______ number
2X3

A

Positive

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3
Q

When Multiplying: a Positive number X a Negative number will = a _____ number
2X-3

A

Negative

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4
Q

When Multiplying: a Negative number X a Negative number will = a _____ number
-2X-3

A

Positive

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5
Q

When Dividing: a Positive number / a Positive number will = a ______ number
2/4

A

Positive

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6
Q

When Dividing: a Positive number / a Negative number will = a _____ number
2/-4

A

Negative

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7
Q

When Dividing: a Negative number / a Negative number will = a _____ number
-2/-4

A

Positive

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8
Q

Rule: Adding or Subtracting Fractions with the SAME Denominator
1/2+4/2

A

Add numerators and keep denominators

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9
Q

Rule: Adding or Subtracting Fractions with DIFFERENT Denominators
2/3+4/6

A
  1. Find the LCD
  2. Multiply the numerator and denominator by the factor to get to the LCD.
  3. Add numerators.
  4. Keep denominators
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10
Q

Rule: Multiplying Fractions

2/3X3/4

A
  1. Multiply the numerators
  2. Multiply the denominators
  3. Simplify
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11
Q

Rule: Dividing Fractions

2/3 / 3/4

A
  1. Keep first fraction the same
  2. Change sign from / to X
  3. Flip the second fraction to it’s reciprocal
  4. Multiply the numerators
  5. Multiply the denominators
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12
Q

Rule: Comparing Fractions
(Which is larger?)
2/3 3/4

A

Cross Multiply

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13
Q

Rule: Decimal to Fraction

A
  1. Make the number the numerator
  2. Make the denominator 1 with however many zeros the numerator has numbers
  3. Simplify
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14
Q

Rule: Fraction to Decimal

A
  1. Numerator becomes the divisor
  2. Denominator becomes the dividend
  3. Divide
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15
Q

Rule: Mixed Numbers to Improper Fractions

A
  1. Multiply the base number by the denominator
  2. Add that number to the numerator
  3. Keep the new number as the numerator
  4. Keep the denominator the same
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16
Q

Rule: Improper Fraction to Mixed Number

A
  1. Divide the numerator by the denominator
  2. Keep the whole number as the whole number
  3. The number in the tenths place becomes the denominator
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17
Q

Fraction: 1/2
Decimal: _____
Percentage: _____

A

Fraction: _____
Decimal: 0.5
Percentage: 50%

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18
Q

Fraction: 1/4
Decimal: _____
Percentage: _____

A

Fraction: _____
Decimal: 0.25
Percentage: 25%

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19
Q

Fraction: 1/3
Decimal: _____
Percentage: _____

A

Fraction: ______
Decimal: 0.333
Percentage: 33.333%

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20
Q

Fraction: 2/3
Decimal: _____
Percentage: _____

A

Fraction: _____
Decimal: 0.666
Percentage: 66.666%

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21
Q

Fraction: 1/10
Decimal: _____
Percentage: _____

A

Fraction: _____
Decimal: 0.1
Percentage: 10%

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22
Q

Fraction: 1/8
Decimal: _____
Percentage: _____

A

Fraction: _____
Decimal: 0.125
Percentage: 12.5%

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23
Q

Fraction: 1/6
Decimal: _____
Percentage: _____

A

Fraction: _____
Decimal: 0.1666…
Percentage: 16.666%

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24
Q

Fraction: 1/5
Decimal: _____
Percentage: _____

A

Fraction: _____
Decimal: 0.2
Percentage: 20%

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25
Q

Rule: Simple Probability

A

P(event): #of desired outcomes
_____________________

            total # of outcomes
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26
Q

Rule: Probability of Event NOT Occuring

A

Probability of Event Occurring - 1

= Probability of Event NOT Occurring

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27
Q

Rule: Probability Involving OR

A

P(event A or B) = P(eventA) + P(eventB) - P(overlap of event A and B

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28
Q

Rule: Compound Probability

A

P(A) X P(B)

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29
Q

Unit of Length

12 inches = __________

A

1 foot

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30
Q

Unit of Length

36 inches = __________ & __________

A

3 feet & 1 yard

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31
Q

Unit of Length

5,280 feet = __________

A

1,760 yards

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32
Q

Unit of Length

1,760 yards = __________ or __________

A

1 mile or 5280 feet

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33
Q

Unit of Volume

8 ounces = __________

A

1 cup

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34
Q

Unit of Volume

16 ounces = __________ & ________

A

2 cups & 1 pint

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35
Q

Unit of Volume

4 cups = __________ & _________

A

2 pints & 32 ounces

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36
Q

Unit of Volume

32 ounces = __________ &_________

A

4 cups & 1 quart

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37
Q

Unit of Volume

8 pints = __________ & ________

A

4 quarts & 16 cups

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38
Q

Unit of Volume

16 cups = __________ & _______

A

8 pints & 128 ounces

39
Q

Unit of Volume

128 ounces = __________

A

16 cups & 1 gallon

40
Q

Unit of Weight

16 ounces = __________

A

1 pound

41
Q

Unit of Weight

2,000 pounds = __________

A

1 ton

42
Q

Unit of Time

60 seconds = __________

A

1 minute

43
Q

Unit of Time

60 minutes = _________

A

1 hour

44
Q

Unit of Time

24 hours = _________

A

1 day

45
Q

Unit of Time

7 days = __________

A

1 week

46
Q

Unit of Time

52 weeks = __________

A

1 year

47
Q

Unit of Time

12 months = __________

A

1 year

48
Q

Unit of Time

365 days = __________

A

1 year

49
Q

Rule: Converting Units

larger to smaller

A

(given # of larger units) X ( # of smaller units per larger unit) = answer in smaller units

50
Q

Rule: Converting Units

smaller to larger

A

Given# of smaller units
______________________

number of smaller units per larger unit= answer in larger units

51
Q

Rule: Addition with Measurements

A
  1. Add like units

2. Simplify by converting smaller units into larger units

52
Q

Rule: Subtraction with Measurements

A
  1. Subtract like units if possible
  2. If not, regroup units
  3. Write answer in simplest form
53
Q

Rule: Multiplication with Measurements

A
  1. Multiply like units if units are involved

2. Simplify

54
Q

Rule: Division with Measurements

A
  1. Divide into larger units first
  2. Convert the remained to the smaller unit
  3. Add the converted remained to the existing smaller unit, if any
  4. Divide into smaller unit
  5. Simplify
55
Q 
Metric Measurements
Kilo
Hecto
Deka
Deci
Centi
Milli
A 
1,000
100
10
.1
.01
.001
56
Q

Conversions in Metric System

Rule: Larger to Smaller unit

A

Move decimal point right

57
Q

Conversions in Metric System

Rule: Smaller to Larger unit

A

Move decimal point left

58
Q

Rule: Percentage

A

________ is _______% of ________

is- (=)
of- (X)

59
Q

Rule: Rate

A

rate = x units
________

      y units
60
Q

Rule: Cost per Unit (Rate)

A

# of square feet
(divide)

61
Q

Rule: Movement (Rate)

A

(rate)(time) = distance

62
Q

Rule: Work Output

Rate

A

(rate of work)(time worked) = job or part of job completed

63
Q

Rule: Linear Function

A

y=mx+ b

64
Q

Rule: Elimination

A
  1. Choose an equation
  2. Rewrite it and isolate one variable
  3. Substitute into other equation and solve
  4. Substitute answer into either equation to find other variable
65
Q

Rule: Elimination

A
  1. Rewrite equations in same form so one variable can cancel out
  2. Subtract
  3. Substitute answer for variable in one of the equations
66
Q

Rule: Solving Linear Inequalities

A

When multiplying or dividing by a negative number you MUST change direction of symbol

67
Q

Rule: Distance of Coordinate Points

A

d=(square root) (x2-x1)2 +(y2-y1)2

68
Q

Rule: Midpoint

A

M=(x1+x2 y1+y2)
——— ———-
2 2

69
Q

Rule: Slope

A

m= y2-y1
——-
x2-x1

70
Q

Rule: y=mx+b

A

y & x- variables on the line
m- the slope of the line
b- yintercept where the line intersects the yaxis

71
Q

Rule: Circle
Circumference
Area

A

C= 2(pi)R or (if given diameter) (pi)d

A=(pi)R2

72
Q

Rule: Rectangle

Area

A

A=(l)(w)

73
Q

Rule: Triangle

Area

A

A=1/2(b)(h)

74
Q

Rule: Cylinder

Volume

A

V=(pi)R2(h)

75
Q

Rectangular Solid

Volume

A

V=(l)(w)(h)

76
Q

Rule: Triangles
3 Interior Angles
3 Exterior Angles

A 
Interior = 180
Exterior = 360
77
Q

Rule: Pythagorean Theorem

A

a2+b2=c2

78
Q

Rule: Volume of a Prism

A

V=Ab(h) Or V=lwh

Ab - area of the prisms base

79
Q

Rule: Quadrilaterals

A

Can be divided into 2 triangles and the sum of it’s interior angles will equal 180+180=360

80
Q

Rule: Elimination

A
  1. Choose an equation
  2. Rewrite it and isolate one variable
  3. Substitute into other equation and solve
  4. Substitute answer into either equation to find other variable
81
Q

Rule: Elimination

A
  1. Rewrite equations in same form so one variable can cancel out
  2. Subtract
  3. Substitute answer for variable in one of the equations
82
Q

Rule: Solving Linear Inequalities

A

When multiplying or dividing by a negative number you MUST change direction of symbol

83
Q

Rule: Distance of Coordinate Points

A

d=(square root) (x2-x1)2 +(y2-y1)2

84
Q

Rule: Midpoint

A

M=(x1+x2 y1+y2)
——— ———-
2 2

85
Q

Rule: Slope

A

m= y2-y1
——-
x2-x1

86
Q

Rule: y=mx+b

A

y & x- variables on the line
m- the slope of the line
b- yintercept where the line intersects the yaxis

87
Q

Rule: Circle
Circumference
Area

A

C= 2(pi)R or (if given diameter) (pi)d

A=(pi)R2

88
Q

Rule: Rectangle

Area

A

A=(l)(w)

89
Q

Rule: Triangle

Area

A

A=1/2(b)(h)

90
Q

Rule: Cylinder

Volume

A

V=(pi)R2(h)

91
Q

Rectangular Solid

Volume

A

V=(l)(w)(h)

92
Q

Rule: Triangles
3 Interior Angles
3 Exterior Angles

A 
Interior = 180
Exterior = 360
93
Q

Rule: Pythagorean Theorem

A

a2+b2=c2

94
Q

Rule: Volume of a Prism

A

V=Ab(h) Or V=lwh

Ab - area of the prisms base

95
Q

Rule: Quadrilaterals

A

Can be divided into 2 triangles and the sum of it’s interior angles will equal 180+180=360

96
Q

Units of Volume

2 pints = _______

A

4 cups

Common Core (2 decks)

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