Quiz about 7.5 - Simplify Rational Expressions

Question 1

Select all excluded values

$$\ \ \frac{x^2+6x}{x^2+3x-18}$$

Accepted Answer

$$x
e\ 3$$

Accepted Answer

$$x e\ -6$$

Answer

$$x
e\ 6$$

Answer

$$x e\ -3$$

Answer

There are no excluded values

Question 2

$$Simplify:\ \ \frac{x^2+7x+10}{x^2-4}$$

Accepted Answer

$$\frac{x+5}{x-2}$$

Answer

$$\frac{x-5}{x+2}$$

Answer

$$\frac{x-5}{x-2}$$

Answer

$$\frac{x+5}{x+2}$$

Answer

$$-\frac{5}{2}$$

Question 3

Select the simplified expression and excluded values for the following rational expression

$$\ \ \frac{x^2-25}{x^2-6x+5}$$

Accepted Answer

$$\frac{x+5}{x-1}$$

Accepted Answer

$$x e\ 5\ \ \ and\ \ \ x e\ 1$$

Answer

$$x e\ -2\ \ and\ x e-3$$

Answer

$$\frac{x-5}{x+1}$$

Answer

$$x e\ -5\ \ \ and\ x e\ -1$$

Question 4

Select the simplified expression and excluded values for the following rational expression:
$$\frac{x^2+10x+24}{x^2-x-20}$$

Accepted Answer

$$x e\ 5$$
and

$$x e\ -4$$

Accepted Answer

$$\frac{x+6}{x-5}$$

Answer

$$\frac{x+6}{x+4}$$

Answer

$$x e\ -5$$

and

$$x e\ 4$$

Answer

$$x e\ -6$$

Question 5

Select the simplified expression and excluded values of the given rational expression.

Accepted Answer

$$\frac{1}{n-7}$$

Accepted Answer

$$n
e\ 7$$

Accepted Answer

$$n
e\ 6$$

Answer

$$n-7$$

Answer

Already simplified

Question 6

Simplify.

Accepted Answer

$$\frac{x\ +\ 6}{x\ -\ 5}$$

Answer

$$\frac{x\ +\ 6}{x\ +\ 4}$$

Answer

$$\left(x+4\right)\left(x+6\right)$$

Answer

$$\left(x+6\right)$$

Answer

$$-\frac{6}{5}$$

Question 7

State the excluded value

$$\frac{20x^2+10x}{2x+1}$$

Accepted Answer

$$x e\ -0.5$$

Answer

$$x e\ 0.5$$

Answer

$$x
e\ 2$$

Answer

$$x e\ -2$$

Question 8

Question 8.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

7.5 - Simplify Rational Expressions

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