Simplifying and Factoring Expressions
Flashcard
•
Mathematics
•
8th Grade
•
Hard
+1
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the distributive property in algebra?
Back
The distributive property states that a(b + c) = ab + ac, meaning you can distribute a factor across a sum.
Tags
CCSS.6.EE.A.3
2.
FLASHCARD QUESTION
Front
How do you simplify the expression 3(9a + 2) + 5(2a - 4)?
Back
First, apply the distributive property: 3*9a + 3*2 + 5*2a - 5*4 = 27a + 6 + 10a - 20. Combine like terms to get 37a - 14.
Tags
CCSS.6.EE.A.3
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, which can help simplify or solve equations.
4.
FLASHCARD QUESTION
Front
What is the factored form of -8x - 10?
Back
-2(4x + 5) is the factored form of -8x - 10.
Tags
CCSS.7.EE.A.1
5.
FLASHCARD QUESTION
Front
How do you simplify the expression -6x + 4(-x - 3)?
Back
Distribute 4: -6x + 4*-x + 4*-3 = -6x - 4x - 12. Combine like terms to get -10x - 12.
Tags
CCSS.6.EE.A.3
6.
FLASHCARD QUESTION
Front
What is a constant in algebra?
Back
A constant is a fixed value that does not change and is not multiplied by a variable.
Tags
CCSS.6.EE.A.2B
7.
FLASHCARD QUESTION
Front
What is the factored form of 12x - 20?
Back
4(3x - 5) is the factored form of 12x - 20.
Tags
CCSS.7.EE.A.1
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