What is the distributive property in algebra?
7th Exam Review Updated 12/6/22

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Mathematics
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7th Grade
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Hard
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1.
FLASHCARD QUESTION
Front
Back
The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a set of parentheses.
2.
FLASHCARD QUESTION
Front
What does it mean for two quantities to be proportional?
Back
Two quantities are proportional if they maintain a constant ratio. For example, if the price per pound of cheese is always $5.30, then the total price is proportional to the weight.
3.
FLASHCARD QUESTION
Front
How do you simplify the expression 4(x + 1)?
Back
4(x + 1) simplifies to 4x + 4.
4.
FLASHCARD QUESTION
Front
What is the equation of a line that passes through the origin with a slope of 2?
Back
The equation is y = 2x.
5.
FLASHCARD QUESTION
Front
What is the difference between a linear equation and a non-linear equation?
Back
A linear equation graphs as a straight line and has the form y = mx + b, while a non-linear equation can graph as a curve and does not fit this form.
6.
FLASHCARD QUESTION
Front
What is the purpose of parentheses in mathematical expressions?
Back
Parentheses indicate which operations should be performed first in an expression, following the order of operations.
7.
FLASHCARD QUESTION
Front
How do you solve for m in the equation 2(m + 3) = 12?
Back
First, distribute: 2m + 6 = 12. Then, subtract 6 from both sides: 2m = 6. Finally, divide by 2: m = 3.
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