What is the distributive property in algebra?

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Flashcard
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Mathematics
•
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 8(5 + w)?
Back
By applying the distributive property, you get 8 * 5 + 8 * w = 40 + 8w.
3.
FLASHCARD QUESTION
Front
What is the first step to solve the equation 3x + 2(4x - 4) = 3?
Back
First, apply the distributive property to simplify the equation: 3x + 8x - 8 = 3.
4.
FLASHCARD QUESTION
Front
What is the solution to the equation 4(a + 3) = -32?
Back
First, simplify to 4a + 12 = -32, then solve for a: 4a = -44, so a = -11.
5.
FLASHCARD QUESTION
Front
How do you combine like terms in the expression a - 8 - 10?
Back
Combine -8 and -10 to get a - 18.
6.
FLASHCARD QUESTION
Front
What does it mean to solve an equation?
Back
To solve an equation means to find the value(s) of the variable(s) that make the equation true.
7.
FLASHCARD QUESTION
Front
What is a linear equation?
Back
A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.
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