Relationships of Operations
Order of Operations
Substitution
Expanding, Factoring, Distribution
Misc.
100
What does the word "Inverse" mean?
Opposite
100
What is the order of operations?
PEMDAS
100
What does the word "Substitution" mean?
Swap, switch, Replace with
100
6F + 2F
8F
100
State the COMMUTATIVE property of MULTIPLICATION and ADDITION.
Commutative means that you can change the order without changing the problem.
200
What is the Inverse of Multiplication?
Division
200
Which do you do first Multiplication or Division? 
Neither, it follows the Left to Right Rule.
200
3 ∙ X                       Substitute X for 5
3 ∙ X                   3 ∙ 5 = 15
200
6F + 2B
2 ( 3F + B )
200
State the Additive property of Zero.
Adding zero to anything gives the same value
300
X = 25 ∙ 2
X = 50
300
2 + 3 x 7
23
300
P ( P + 3 ) - P                         Substitute P for 4.
4 ( 4 + 3 ) - 4      4 ( 7 ) - 4             28 - 4                   24
300
Expand                        Z to the power of 4. Then check your answer by substituting Z for 2.
Z ∙ Z ∙ Z ∙ Z          2 ∙ 2 ∙ 2 ∙ 2 = 16 and 2 to the fourth equals 16.
300
State the Multiplicative identity of One.
Multiplying by one always give the same value.
400
Y + 4 = 7
Y = 3
400
The Quotient of 25 and 5.
25 ÷ 5 = 5
400
The Quotient of Z and 3. Substitute Z for eight-teen.
Z ÷ 3                                         18 ÷ 3 = 6
400


3 ( c + d )           3c + 3d
400
Rewrite the division statement as a Fraction.             (c - d) ÷ (a + b)
(c - d)/( a + b)
500
H ÷ 4 = 5
H = 20
500
Twelve Times the Sum of Three and Seven minus the Quantity of Thirty times Two.
12 ∙ ( 3 + 7 ) - ( 30 ∙ 2 )             = 12 ∙ 10 - 60   = 120 - 60          = 60
500
The Forty divided by the Quantity of B minus 3. Substitute B for Eight.
40 ÷ ( B - 3 )     40 ÷ ( 8 - 3 )      40 ÷ 5 = 8
500
e ( f + d)
ef + ed
500
Write the expression INTO a sentence.    5(7h + 3m)
5 times the quantity 7 times h plus 3 times m.