Simplify Rational Expressions

Flashcard
•
Mathematics
•
10th - 12th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a rational expression?
Back
A rational expression is a fraction where both the numerator and the denominator are polynomials.
2.
FLASHCARD QUESTION
Front
How do you simplify a rational expression?
Back
To simplify a rational expression, factor both the numerator and the denominator and then cancel any common factors.
Tags
CCSS.HSA.APR.D.6
3.
FLASHCARD QUESTION
Front
What is the difference of squares?
Back
The difference of squares is a special factoring technique that applies to expressions of the form a^2 - b^2, which can be factored as (a - b)(a + b).
Tags
CCSS.HSA.APR.C.4
4.
FLASHCARD QUESTION
Front
What is the first step in simplifying the expression 15x^2/5x^3?
Back
The first step is to factor out the common terms in the numerator and denominator.
Tags
CCSS.HSA.APR.D.6
5.
FLASHCARD QUESTION
Front
What is the simplified form of 15x^2/5x^3?
Back
The simplified form is 3/x.
Tags
CCSS.HSA.APR.D.6
6.
FLASHCARD QUESTION
Front
What does it mean to cancel common factors in a rational expression?
Back
Canceling common factors means removing the same factor from both the numerator and the denominator, which simplifies the expression.
Tags
CCSS.HSA.APR.D.6
7.
FLASHCARD QUESTION
Front
What is the simplified form of the expression (x+3)/(x-4)?
Back
The expression (x+3)/(x-4) is already in its simplest form.
Tags
CCSS.HSA.APR.D.6
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