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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
Fraction: 1/5 Decimal: _____ Percentage: _____
Fraction: _____ Decimal: 0.2 Percentage: 20%
25
Rule: Simple Probability
P(event): #of desired outcomes _____________________ total # of outcomes
26
Rule: Probability of Event NOT Occuring
Probability of Event Occurring - 1 | = Probability of Event NOT Occurring
27
Rule: Probability Involving OR
P(event A or B) = P(eventA) + P(eventB) - P(overlap of event A and B
28
Rule: Compound Probability
P(A) X P(B)
29
Unit of Length | 12 inches = __________
1 foot
30
Unit of Length | 36 inches = __________ & __________
3 feet & 1 yard
31
Unit of Length | 5,280 feet = __________
1,760 yards
32
Unit of Length | 1,760 yards = __________ or __________
1 mile or 5280 feet
33
Unit of Volume | 8 ounces = __________
1 cup
34
Unit of Volume | 16 ounces = __________ & ________
2 cups & 1 pint
35
Unit of Volume | 4 cups = __________ & _________
2 pints & 32 ounces
36
Unit of Volume | 32 ounces = __________ &_________
4 cups & 1 quart
37
Unit of Volume | 8 pints = __________ & ________
4 quarts & 16 cups
38
Unit of Volume | 16 cups = __________ & _______
8 pints & 128 ounces
39
Unit of Volume | 128 ounces = __________
16 cups & 1 gallon
40
Unit of Weight | 16 ounces = __________
1 pound
41
Unit of Weight | 2,000 pounds = __________
1 ton
42
Unit of Time | 60 seconds = __________
1 minute
43
Unit of Time | 60 minutes = _________
1 hour
44
Unit of Time | 24 hours = _________
1 day
45
Unit of Time | 7 days = __________
1 week
46
Unit of Time | 52 weeks = __________
1 year
47
Unit of Time | 12 months = __________
1 year
48
Unit of Time | 365 days = __________
1 year
49
Rule: Converting Units | larger to smaller
(given # of larger units) X ( # of smaller units per larger unit) = answer in smaller units
50
Rule: Converting Units | smaller to larger
Given# of smaller units ______________________ number of smaller units per larger unit= answer in larger units
51
Rule: Addition with Measurements
1. Add like units | 2. Simplify by converting smaller units into larger units
52
Rule: Subtraction with Measurements
1. Subtract like units if possible 2. If not, regroup units 3. Write answer in simplest form
53
Rule: Multiplication with Measurements
1. Multiply like units if units are involved | 2. Simplify
54
Rule: Division with Measurements
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
``` Metric Measurements Kilo Hecto Deka Deci Centi Milli ```
``` 1,000 100 10 .1 .01 .001 ```
56
Conversions in Metric System | Rule: Larger to Smaller unit
Move decimal point right
57
Conversions in Metric System | Rule: Smaller to Larger unit
Move decimal point left
58
Rule: Percentage
________ is _______% of ________ is- (=) of- (X)
59
Rule: Rate
rate = x units ________ y units
60
Rule: Cost per Unit (Rate)
total cost ------------ # of square feet (divide)
61
Rule: Movement (Rate)
(rate)(time) = distance
62
Rule: Work Output | Rate
(rate of work)(time worked) = job or part of job completed
63
Rule: Linear Function
y=mx+ b
64
Rule: Elimination
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
Rule: Elimination
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
Rule: Solving Linear Inequalities
When multiplying or dividing by a negative number you MUST change direction of symbol
67
Rule: Distance of Coordinate Points
d=(square root) (x2-x1)2 +(y2-y1)2
68
Rule: Midpoint
M=(x1+x2 y1+y2) --------- ---------- 2 2
69
Rule: Slope
m= y2-y1 ------- x2-x1
70
Rule: y=mx+b
y & x- variables on the line m- the slope of the line b- yintercept where the line intersects the yaxis
71
Rule: Circle Circumference Area
C= 2(pi)R or (if given diameter) (pi)d | A=(pi)R2
72
Rule: Rectangle | Area
A=(l)(w)
73
Rule: Triangle | Area
A=1/2(b)(h)
74
Rule: Cylinder | Volume
V=(pi)R2(h)
75
Rectangular Solid | Volume
V=(l)(w)(h)
76
Rule: Triangles 3 Interior Angles 3 Exterior Angles
``` Interior = 180 Exterior = 360 ```
77
Rule: Pythagorean Theorem
a2+b2=c2
78
Rule: Volume of a Prism
V=Ab(h) Or V=lwh | Ab - area of the prisms base
79
Rule: Quadrilaterals
Can be divided into 2 triangles and the sum of it's interior angles will equal 180+180=360
80
Rule: Elimination
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
Rule: Elimination
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
Rule: Solving Linear Inequalities
When multiplying or dividing by a negative number you MUST change direction of symbol
83
Rule: Distance of Coordinate Points
d=(square root) (x2-x1)2 +(y2-y1)2
84
Rule: Midpoint
M=(x1+x2 y1+y2) --------- ---------- 2 2
85
Rule: Slope
m= y2-y1 ------- x2-x1
86
Rule: y=mx+b
y & x- variables on the line m- the slope of the line b- yintercept where the line intersects the yaxis
87
Rule: Circle Circumference Area
C= 2(pi)R or (if given diameter) (pi)d | A=(pi)R2
88
Rule: Rectangle | Area
A=(l)(w)
89
Rule: Triangle | Area
A=1/2(b)(h)
90
Rule: Cylinder | Volume
V=(pi)R2(h)
91
Rectangular Solid | Volume
V=(l)(w)(h)
92
Rule: Triangles 3 Interior Angles 3 Exterior Angles
``` Interior = 180 Exterior = 360 ```
93
Rule: Pythagorean Theorem
a2+b2=c2
94
Rule: Volume of a Prism
V=Ab(h) Or V=lwh | Ab - area of the prisms base
95
Rule: Quadrilaterals
Can be divided into 2 triangles and the sum of it's interior angles will equal 180+180=360
96
Units of Volume | 2 pints = _______
4 cups

Common Core (2 decks)

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