Distributive
This is the ______ property: a(b + c)
What is the distributive property.
This property tells you that no matter how you group addition and multiplication expressions, the answer will be the same. Example: (a + b) + c = a + (b + c)
What is the associative property?
This property tells you that no matter the order of addition and multiplication problems, you will get the same answer. Example: a + b = b + a
What is the commutative property?
Create an equivalent expression:
3(x + 12) + 7 + 2x
What is 5x + 43?
This is the equivalent expression for __________:
3(x + 2)
What is 3x + 6
Fill in the blank for the following set of equivalent expressions:
(3 + 3) + 4 = (4 + 3) + __
What is 3?
Create an equivalent expression for the following:
3 x 7 = _______
What is 7 x 3?
Create an equivalent expression:
4(a + 3b) − 2b
What is 4a + 10b?
The equivalent expression for 5(7 x 12) is ________.
What is 420?
These two operations do not work work with the associative property because ________.
What are subtraction and division because changing the order of the numbers changes the answer?
Create an equivalent expression for the following:
4 + 8 + 9 + 2 = _______
What is 4 + 9 + 2 + 8?
Explain how to create an equivalent expression for 3(2x + 4) + 2(3x − 1) using the Distributive Property.
What is distribute the 3 and 2 to both terms inside their respective parentheses then combine like terms?
ANSWER: 12x + 10
(BONUS: factor out the greatest common factor to get 2(6x + 5)
The following equivalent expressions are an example of the distributive property because _________.
6(17 + 3) = 120
What is because when you distribute the 6 and multiply it by 17 and 3, then add them together, you get the answer 120?
The equation (6 + 1) + 3 = 6 + (1 + 3) an example of the Associative Property because ________.
What is yes because even though the groupings change, the sum remains the same?
These equivalent expressions are an example of the commutative property because ____________.
9 x 5 = 5 x 9
What is because the order of the numbers changes but the product doesn't?
Create an equivalent expression:
2(3x + 4) − 5(x−1)
What is 6x + 8 − 5x + 5 OR x + 13