
Simplifying Rational Expressions
Flashcard
•
Mathematics
•
10th - 12th Grade
•
Practice Problem
•
Hard
Standards-aligned
Wayground Content
FREE Resource
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15 questions
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1.
FLASHCARD QUESTION
Front
What is the GCF of the expression 3x^2 + 18x + 15?
Back
The GCF is 3.
2.
FLASHCARD QUESTION
Front
What values of x must be excluded in the expression \( \frac{2x(x-2)}{(x-2)(x+5)} \) to prevent division by zero?
Back
The values to exclude are 2 and -5.
Tags
CCSS.HSF-IF.C.7D
3.
FLASHCARD QUESTION
Front
Find the LCD of the rational expressions \( \frac{2x}{x+1} \) and \( \frac{1}{x^2-1} \).
Back
The LCD is (x+1)(x-1).
Tags
CCSS.HSA.APR.D.7
4.
FLASHCARD QUESTION
Front
What are the vertical asymptotes (VA) of the expression \( \frac{x^2+6x}{x^2+3x-18} \)?
Back
The VAs are -6 and 3.
Tags
CCSS.HSF-IF.C.7D
5.
FLASHCARD QUESTION
Front
Which value of x makes the expression \( \frac{1}{x+2} \) undefined?
Back
The value that makes it undefined is -2.
6.
FLASHCARD QUESTION
Front
Define a rational expression.
Back
A rational expression is a fraction where the numerator and the denominator are polynomials.
Tags
CCSS.HSA.APR.D.7
7.
FLASHCARD QUESTION
Front
What is the process of simplifying a rational expression?
Back
To simplify a rational expression, factor the numerator and denominator and cancel out common factors.
Tags
CCSS.HSA.APR.D.6
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