1. Associative Property of Addition or Multiplication
(6 + 3) + 5 = 6 + (3 + 5) or (2 x 5) x 7 = 2 x (5 x 7)
2. Commutative Property of Addition or
8+9+6=6+8+9 or 6x7=7x6
3. Distributive Property
2(a + b) = 2a + 2b
4. Inverse Property
4 + (-4) = 0 5 x 1/5 = 1
5. Identity of 1
3x1=3 or 7+0=7
6. Multiplication of zero
7. Solving equations
A. Isolate the variable
B. By inverse operation
C. Variable is a letter that stands for an
D. Inverse means opposite operation
EX: 4 + n = 18 You want n to be by itself on its
side of the equal sign so you subtract 4 from both
sides of equal sign and you will have n = 12 left.
8. Scientific Notation
Place the decimal after the first non-zero digit.
EX: 21,000 = 2.1 x 104
The decimal was after the last zero and you
Moved it 4 places to after the 2 making so that
Makes it to the 4th power.
9. Coordinate Plane
Quadrant II Quadrant I
Quadrant III Quadrant IV
10. Absolute Value
The distance a number is from zero.
Ex: |-5| = 5 |5| = 5
11. Adding Integers:
With like signs:
Add and use the sign they have in common.
With unlike signs:
Subtract the smallest absolute value from the
Largest absolute value and use the sign of the
Largest absolute value.
12. Subtracting Integers
Change sign to addition
Change 2nd number to it’s opposite
Follow rules of addition
13. Multiply and Divide Integers
Signs alike – positive
Signs different – negative
Sum of data divided by number of data (average)
Middle number of an odd number of data items
arranged in order. For an even number of data
items, the median is the average of the two middle
The value or values that occur most often. When
all data occur the same amount, there is no mode.
The difference between the greatest and least
A number that is much greater or less than the other
numbers in a set of data.
19. Square numbers
1 = 12
4 = 22
9 = 32
16 = 42
25 = 52
36 = 62
49 = 72
64 = 82
81 = 92
100 = 102
121 = 112
144 = 122
Therefore if I asked for square root of 144 the answer
would be 12.
If I asked for square root of 69 you would say it is
between 8 and 9 because 69 falls between 64 and 81.
Ex. of 32 is: ...
Inequalities: A mathematical sentence that contains <,
>, = , <, or >.