Simplifying Rational Expressions Quiz

What is the first step in simplifying a rational expression?

• Subtract the numerators and denominators

• Factor both the numerator and the denominator

• Multiply the numerators and denominators

• Add the numerators and denominators

In example 1, what is the simplified form of the expression after dividing by 6?

• 6x^3/7x^2

• -6x^3/7x^2

• -6x/7

• 6x/7

For example 2, what happens to the variable R when simplifying R^2/R^3?

• It becomes R

• It becomes 1/R

• It becomes R^3

• It becomes R^2

In example 3, what is the result of simplifying 16/28?

• 4/7

• 16/7

• 7/4

• 28/16

What is the simplified form of the expression in example 4?

• 3n/4

• n/3

• 4n/3

• 4/3n

In example 5, what is the simplified form of -70n^2/28?

• -5n/2

• 5n/2

• -5/2n

• 5/2n

What is the result of simplifying 15n/30n^3 in example 6?

• 1/2n

• n/2

• 2/n^2

• 1/2n^2

In example 7, what is the simplified form of the expression after factoring?

• R + 2

• 2R - 4

• 2

• R - 2

What is the simplified form of 45/(10a - 10) in example 8?

• 9/(2a - 2)

• 9/2(a - 1)

• 5/(2a - 2)

• 45/(a - 1)

What is a key step to remember when simplifying rational expressions?

• Factor out common terms

• Ignore the denominators

• Always add the exponents

• Multiply the exponents