What is the distributive property in algebra?
Expanding and Factoring Expressions

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Mathematics
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7th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.
2.
FLASHCARD QUESTION
Front
How do you simplify the expression -2(6n + 3) using the distributive property?
Back
By applying the distributive property: -2 * 6n + (-2) * 3 = -12n - 6.
3.
FLASHCARD QUESTION
Front
What does it mean to factor an expression?
Back
Factoring an expression means rewriting it as a product of its factors.
4.
FLASHCARD QUESTION
Front
What is the factored form of 6x + 12?
Back
6(x + 2).
5.
FLASHCARD QUESTION
Front
How do you factor the expression 12x + 8y - 4z completely?
Back
Factor out the greatest common factor, which is 4: 4(3x + 2y - z).
6.
FLASHCARD QUESTION
Front
What is the greatest common factor (GCF)?
Back
The GCF is the largest factor that divides two or more numbers or terms.
7.
FLASHCARD QUESTION
Front
How do you factor the expression 16x + 24x²?
Back
Factor out the GCF, which is 8x: 8x(2 + 3x).
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