Quiz about Simplifying Rational Expressions with Restrictions

Question 1

Simplify.

Accepted Answer

(x+6)/(x-5)

Answer

(x+6)/(x+4)

Answer

(x+6)(x+4)

Answer

(x+6)

Question 2

Simplify

$$\frac{15x^2}{5x^3}$$

Accepted Answer

$$\frac{3}{x}$$

Answer

3x

Answer

$$\frac{x}{3}$$

Answer

$$\frac{5}{x}$$

Question 3

Simplify.

Accepted Answer

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

Answer

n-7

Answer

$$\frac{n-6}{n-7}$$

Answer

n-6

Question 4

Simplify & State the restriction

$$\frac{\left(v-6\right)\left(v+8\right)}{5v+40}$$

Accepted Answer

$$\frac{v-6}{5};\ x e-8$$

Answer

$$\frac{v-1}{v-4};\ x e-8$$

Answer

$$\frac{-v-4}{5+v};\ x e5$$

Answer

$$\frac{v+7}{v+2};\ x e5$$

Question 5

Simplify

Hint:(bottom is difference of squares)

Accepted Answer

1/(x-9)

Answer

(x-9)/(x+9)

Answer

(x+9)

Answer

1/(x+9)

Question 6

Simplify the following

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 7

What value(s) are restricted in the expression $$\frac{\left(x-2\right)\left(x+3\right)}{\left(x-1\right)\left(x+9\right)}$$ ? Select ALL that apply

Accepted Answer

Accepted Answer

Answer

Answer

Answer

No values are restricted.

Question 8

Simplify the expression. $$\frac{x^2+11x+24}{x^2+4x-32}$$

Accepted Answer

$$\frac{x+3}{x-4}$$

Answer

$$\frac{x+7}{x-4}$$

Answer

$$-\frac{3}{4}$$

Answer

$$\frac{x+3}{x+4}$$

Question 9

Which expression is already simplified?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 10

What value(s) make the expression undefined?

Accepted Answer

x = 3 and x = - 4

Answer

x = - 3 and x = 4

Answer

x = 3 only

Answer

x = - 4 only

Simplifying Rational Expressions with Restrictions

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