How do you simplify the expression $$\frac{a}{b} + \frac{c}{d}$$ ?

Convert to a common denominator: $$\frac{ad + bc}{bd}$$ .

What is the result of dividing two rational expressions $$\frac{a}{b} \times \frac{c}{d}$$ ?

Multiply the numerators and denominators: $$\frac{ac}{bd}$$ .

How do you subtract $$\frac{6}{x-1} - \frac{5x}{4}$$ ?

Find a common denominator, which is $$4(x-1)$$ , then rewrite each fraction and combine.

What is the simplified form of $$\frac{4x}{x-5} - \frac{3}{x-6}$$ ?

The result is $$\frac{4x^2-27x+15}{(x-6)(x-5)}$$ .

What does it mean to factor a polynomial?

Factoring a polynomial means expressing it as a product of its factors.

What is the result of dividing $$\frac{x+8}{(x+4)(x-3)} \text{ by } \frac{x+8}{5(x+4)}$$ ?

The result is $$\frac{5}{x-3}$$ .

How do you find the least common denominator (LCD) of $$\frac{a}{b}$$ and $$\frac{c}{d}$$ ?

The LCD is the least common multiple of the denominators b and d.

What is the simplified form of $$\frac{6-5x}{4(x-1)}$$ ?

This expression is already simplified.

What is the first step in simplifying $$\frac{4x}{x-5} - \frac{3}{x-6}$$ ?

Identify the common denominator, which is $$(x-5)(x-6)$$ .

What is the result of adding $$\frac{7n}{3n-18} + \frac{n+3}{3}$$ ?

The result is $$\frac{n^2+4n-18}{3(n-6)}$$ .

What is a polynomial?

A polynomial is an expression consisting of variables raised to whole number powers and coefficients.

What is the significance of the degree of a polynomial?

The degree of a polynomial indicates the highest power of the variable in the expression.

Review Add Subtract Multiply Divide Rational Expressions Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Define rational expressions.

Back

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

2.

FLASHCARD QUESTION

Front

What is the first step in adding or subtracting rational expressions with different denominators?

Back

Find a common denominator for the rational expressions.

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

Back

Factor the denominators and find a common denominator to combine the fractions.

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