Mastering Multiplication and Division of Rational Expressions

What is the first step in multiplying rational functions?

• Add the numerators and denominators

• Multiply the numerators and denominators separately

• Divide the numerators and denominators

• Subtract the numerators and denominators

When multiplying fractions, what should you do after multiplying the numerators and denominators?

• Divide the results

• Subtract the results

• Simplify the fraction

• Add the results

In the example problem, what is the result of multiplying 8 and 7 in the numerator?

• 15

• 56

• 64

• 72

How do you handle exponents when multiplying variables with the same base?

• Multiply the exponents

• Divide the exponents

• Add the exponents

• Subtract the exponents

What is the simplified form of x^7 / x?

• x^7

• x^5

• x^8

• x^6

In the advanced example, what is the first step in simplifying the expression?

• Multiply the terms

• Factor out common terms

• Add the terms

• Divide the terms

What is the result of factoring out -3x from the expression -3x^2 + 3x?

• -3x(x - 1)

• -3x(x + 1)

• 3x(x + 1)

• 3x(x - 1)

What is the reciprocal of a fraction?

• The fraction with numerator and denominator swapped

• The fraction with numerator doubled

• The same fraction

• The fraction with denominator doubled

How do you convert a division problem into a multiplication problem when dealing with rational functions?

• Add the fractions

• Take the reciprocal of the second fraction

• Multiply the fractions

• Subtract the fractions

What is the final simplified form of 11x / 3x?

• 11

• 3

• 11/3

• 3/11