This rule of addition and multiplication states that you can change the order in which you add or multiply without changing the answer.
What is commutative property?
100
2(a + 1)
What is 2a + 2
100
This is what you would write when none of the terms share a common factor.
What is no common factor?
100
What is (4x + 2) + (7 - 6x)
What is -2x + 9?
100
It's the 12 in the following expression:
12x + 1
What is the coefficient?
200
This property states that you can change the way you group terms together when you add or multiply without changing your answer.
What is the associative property?
200
-2(4a - 2b)
What is -8a + 4b
200
This is what GCF stands for.
What is greatest common factor?
200
(2x + 1) + (-x + 11)
What is x + 12?
200
It's another name for the 7 in the following example:
2x + 7
What is the constant?
300
An example of this property is as follows:
a x 1 = a
What is the multiplicative identity?
300
4m(4m + 7)
What is 16m^2 + 28m?
300
Factor the following:
18y + 9xy
What is 9y(2 + x)?
300
(8x - 7) - (2x - 2)
What is 6x - 5?
300
We use these when we need to represent an unknown quantity - we use letters in algebra.
What is the variable?
400
This property states that any number plus zero is the same number.
What is the additive identity property?
400
-2a(1 - 7m)
What is -2a + 14am
400
Factor the following:
4a - 7ab
What is a(4 - 7b)?
400
(-3x + 1) - (3x - 1)
What is -6x + 2?
400
Sometimes, variables might have these small numbers written in superscipt to the right of the variable. It tells the reader how many times you multiply the variable by itself.
What is the exponent?
500
This property states that you multiply all terms inside the parentheses by the term outside the parentheses.
What is the distributive property?
500
Instead of multiplying the following expression, you can use this form of the distributive property to solve using mental math:
4(6.99)
What is 4(7 - .01)?
500
Factor the following:
36x - 72
What is 36(x - 2)?
500
(-4x - 2) - (-4x + 2)
What is -4?
500
Just like a tricycle has 3 wheels, a trinomial has three different types of terms. An expression with TWO terms would be called this (hint: it has the same prefix as a vehicle with TWO wheels that you pedal...)