Multiplying and Dividing Rational Expressions

What is a rational expression?

• A comparison of two numbers

• A ratio comparing two polynomial expressions

• A single polynomial expression

• A fraction with integers

When simplifying a fraction, what must be true for you to cancel out terms?

• The terms must be added

• The terms must be subtracted

• The terms must be multiplied or divided

• The terms must be equal

Under what condition is a rational expression undefined?

• When the expression is a whole number

• When both numerator and denominator are zero

• When the denominator is zero

• When the numerator is zero

What is the first step in simplifying a complex rational expression?

• Cancel out all terms

• Factor the numerator and denominator

• Add the terms

• Subtract the terms

In the expression ((a^4 b - 2a^4) / (2a^3 - a^3 b)), what is the GCF of the numerator?

• b

• a^4

• a^3

• 2a^3

What is the result of dividing (3x^2) by (x^3)?

• 3/x^2

• 3x

• 3/x

• 1/x

When multiplying rational expressions, what is a useful technique to simplify the process?

• Subtracting the denominators

• Cross-canceling

• Adding the numerators

• Cross-multiplying

What is the simplified form of ((8x / 21y^3) * (7y^2 / 16x^3))?

• 6xy^2

• 1 / 6xy^2

• 6x^2 y

• 1 / 6x^2 y

What should you do when you encounter a complex fraction?

• Leave it as it is

• Multiply by the reciprocal of the denominator

• Add the fractions

• Subtract the fractions

What is the simplified result of ((x^2 / (9x^2 - 4y^2)) / (x^3 / (3x + 2y)))?

• x / (3x - 2y)

• x / (3x + 2y)

• 1 / (3x + 2y)

• 1 / (3x - 2y)