Mrs. Shelbys Division Cheat Sheet
Divisibility Rules
The number is divisible by
2
if the last digit is 0, 2, 4, 6, 8.
3
if the sum of its digits is divisible by 3.
5
if the last digit is 5 or 0.
6
if the number is divisible by both 2 and 3.
9
if the sum o
Decimal Multiplication and Division Cheat Sheet
Multiplication
To multiply two arbitrary numbers:
Step 1) Ignore the decimal points and multiply your numbers as if they were whole
numbers.
Step 2) Reinsert the decimal point into your answer. You can do th
Subtraction Cheat Sheet (Traditional)
To solve multi digit subtraction problems using the traditional method its a lot like normal the only difference is borrowing (if
needed).
Lets take a look at the steps in depth below to solve the problem: 395 - 197
2
Name:
Long Division Cheat Sheet
To solve long division problems all you have to remember is 5
simple steps:
1
2
3
4
5
Determine
Mulply
Subtract
Compare
Bring Down
2 3
4
Lets look at those steps in depth below to solve the problem:
95 4 = _
9 5
-8
1 5
1) D
Algebra Cheat Sheet
Basic Properties & Facts
Arithmetic Operations
Properties of Inequalities
If a < b then a + c < b + c and a c < b c
a b
If a < b and c > 0 then ac < bc and <
c c
a b
If a < b and c < 0 then ac > bc and >
c c
b ab
a =
c c
ab + ac = a (
Logarithms and Log Properties
Definition
y = log b x is equivalent to x = b y
Logarithm Properties
log b b = 1
log b 1 = 0
log b b x = x
b logb x = x
log b ( x r ) = r log b x
Example
log 5 125 = 3 because 53 = 125
log b ( xy ) = log b x + log b y
Special
Functions and Graphs
Constant Function
y = a or f ( x ) = a
Graph is a horizontal line passing
through the point ( 0, a ) .
Line/Linear Function
y = mx + b or f ( x ) = mx + b
Graph is a line with point ( 0, b ) and
slope m.
Slope
Slope of the line contai
Common Algebraic Errors
Error
Reason/Correct/Justification/Example
2
2
0 and 2
0
0
Division by zero is undefined!
32 9
32 = 9 ,
(x )
(x )
2 3
2 3
x5
a
a a
+
b+c b c
1
x 2 + x 3
2
3
x +x
a ( x 1) ax a
x2 + a2 x + a
x+a x + a
( x + a)
x n + a n and
n