Quiz about Simplifying Rational Expressions with Restrictions

Question 1

When simplifying rational expressions, what is a restriction?

Accepted Answer

A value of a variable that makes the expression mathematically illegal.

Answer

A vertical asymptote

Answer

A hole in the graph

Answer

The negative or opposite of the denominator

Answer

The negative or opposite of the numerator

Question 2

How do we find the restrictions of a rational expression?

Accepted Answer

We set the denominator equal to zero and solve for the variable

Answer

We set the numerator equal to zero and solve for the variable

Answer

We plug zero into the numerator and simplify

Answer

We plug zero into the denominator and simplify

Question 3

What are the restrictions of: $$\frac{8x}{\left(x+4\right)\left(x-5\right)}$$

(Pick all that apply!)

Accepted Answer

$$x
e5$$

Accepted Answer

$$x
e-4$$

Answer

$$x
e-5$$

Answer

$$x
e0$$

Answer

$$x
e4$$

Question 4

Consider the equation: $$f\left(k ight)\ =\ \frac{5k}{\left(k-5 ight)\left(k ight)}$$
Why is $$k e5$$ one of our restrictions?

Accepted Answer

Because $$f\left(5\right)\ =\ \frac{25}{0}$$ , which is undefined

Answer

Because $$f\left(5\right)\ =\ 0$$

Answer

$$k e5$$ is not one of our restrictions

Question 5

Question 5.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 6

Simplify the following expression:

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 7

SIMPLIFY

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 8

Simplify.

Accepted Answer

1/(n-7)

Answer

n-7

Answer

(n-6)/(n-7)

Answer

n-6

Question 9

What are the restrictions of: \frac{1}{5y\ -\ 4}

Accepted Answer

$$y\ e\frac{4}{5}$$

Answer

$$y
e4$$

Answer

$$y\ 
e-4$$

Answer

$$y\ 
e5$$

Answer

$$y\ 
e-5$$

Question 10

Question 10.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 11

Divide the Rational Expression

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 12

Multiply the Rational Expression

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 13

Divide the Rational Expression

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 14

Divide the Rational Expression

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 15

To simplify a rational expression, I should

Accepted Answer

Factor the numerator and denominator and eliminate common factors.

Answer

Eliminate common terms in the numerator and denominator.

Answer

Combine like terms in the numerator and denominator.

Answer

Find an LCD.

Question 16

Perform the operation

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 17

Perform the operation

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Simplifying Rational Expressions with Restrictions

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