What is the least common denominator (LCD) for the expressions $$\frac{5n}{30m}$$ and $$\frac{2m+4n}{30m}$$ ?

The least common denominator is $$30m$$ .

How do you add the rational expressions $$\frac{3x}{y} + \frac{15x}{y}$$ ?

Combine the numerators: $$\frac{3x + 15x}{y} = \frac{18x}{y}$$ .

What is the result of subtracting $$\frac{x-8}{9x^3+27x^2}$$ from $$\frac{5x+4}{9x^3+27x^2}$$ ?

The result is $$\frac{4}{9x^2}$$ .

What is the process for simplifying the expression $$\frac{5x+4}{9x^3+27x^2} - \frac{x-8}{9x^3+27x^2}$$ ?

Combine the numerators over the common denominator: $$\frac{(5x+4) - (x-8)}{9x^3+27x^2}$$ .

Add the rational expressions $$\frac{3x+2y}{3z} + \frac{15x+12y}{3z}$$ .

The result is $$\frac{18x+14y}{3z}$$ .

What is a polynomial?

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Explain how to find the common denominator for two rational expressions.

Identify the least common multiple of the denominators of the rational expressions.

What is the simplified form of $$\frac{9n+2m}{30m}$$ ?

It is already in its simplest form.

What does it mean to simplify a rational expression?

To simplify a rational expression means to reduce it to its lowest terms by factoring and canceling common factors.

Define the term 'least common multiple' (LCM).

The least common multiple is the smallest multiple that is exactly divisible by each of the numbers in a set.

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Wed Dec 11... Adding And Subtracting Rational Expressions

Wed Dec 11... Adding and Subtracting Rational Expressions

Flashcard

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Mathematics

•

11th Grade

•

Practice Problem

•

Hard

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FLASHCARD QUESTION

Front

Define rational expressions.

Back

Rational expressions are fractions where the numerator and the denominator are both polynomials.

FLASHCARD QUESTION

Front

What is the first step in adding rational expressions with the same denominator?

Back

Ensure that both expressions have the same denominator before adding the numerators.

FLASHCARD QUESTION

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Back

FLASHCARD QUESTION

Front

Back

FLASHCARD QUESTION

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FLASHCARD QUESTION

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FLASHCARD QUESTION

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