Quiz about Simplifying Rational Expressions

Question 1

What are the steps for Simplifying Rational Expressions?

Accepted Answer

Factor Numerator

Factor Denominator

Divide Out Like Terms

Answer

Factor Denominator

Divide Out Like Terms

Factor Numerator

Answer

Factor Numerator

Divide Out Like Terms

Denominator is Already Factored

Answer

Factor Numerator

Divide Out Like Terms

Factor Denominator

Question 2

Simplify the expression completely $$\ \ \frac{x^2-2x-24}{x^2-5x-36}$$

Leave the answer in fully factored form.

Accepted Answer

$$\frac{x-6}{x-9}$$

Answer

$$\frac{x-6}{x+9}$$

Answer

$$\frac{x+6}{x+9}$$

Answer

$$\frac{x+6}{x-9}$$

Question 3

What is the result of simplifying the expression completely. $$\ \ \ \frac{2x^2+24x-90}{3x^2-27x+54}$$
Express the answer in fully factored form.

Accepted Answer

$$\frac{2\left(x+15\right)}{3\left(x-6\right)}$$

Answer

$$\frac{x+15}{x-6}$$

Answer

$$\frac{2x+30}{3x-18}$$

Answer

$$\frac{2\left(x-15\right)}{3\left(x+6\right)}$$

Question 4

What is the result of simplifying the expression completely. $$\ \ \ \frac{2n^2-3n-20}{3n^2-10n-8}$$
Leave the answer in fully factored form.

Accepted Answer

$$\frac{2n+5}{3n+2}$$

Answer

$$\frac{2n-5}{3n-2}$$

Answer

$$\frac{2n-5}{3n+2}$$

Answer

$$\frac{2n+5}{3n-2}$$

Question 5

Simplify the following expression:

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 6

Question 6.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 7

Simplify the rational function

Accepted Answer

1/(3x)

Answer

3x(x + 1)

Answer

3x

Answer

(x + 1)

Question 8

Simplify.

Accepted Answer

(x+6)/(x-5)

Answer

(x+6)/(x+4)

Answer

(x+6)(x+4)

Answer

(x+6)

Question 9

What is the result of simplifying the expression completely. $$\ \ \ \frac{p^2+7p-44}{p^3-4p^2-9p+36}$$
Leave the answer in fully factored form.

Accepted Answer

$$\frac{p+11}{\left(p+3\right)\left(p-3\right)}$$

Answer

$$\frac{p+11}{\left(p-3\right)\left(p-3\right)}$$

Answer

$$\frac{p+11}{p^2-9}$$

Answer

$$\frac{p-11}{p^2-9}$$

Question 10

What does the term 'removal of brackets' refer to in algebra?

Accepted Answer

Simplifying expressions by removing parentheses

Answer

Adding terms

Answer

Factoring expressions

Answer

Eliminating variables

Question 11

Simplify the rational function

Accepted Answer

1/(x + 5)

Answer

1/(x - 5)

Answer

(x - 5)(x + 5)

Answer

(x - 5)/[(x - 5)(x + 5)]

Question 12

Multiply the following rational expressions, simplifying the answer if needed.

$$\frac{3x+3}{x+2}\cdot\frac{4x-8}{x+1}$$

Accepted Answer

$$\frac{12\left(x-2\right)}{\left(x+2\right)}$$

Answer

$$\frac{7x-5}{\left(x+2\right)\left(x+1\right)}$$

Answer

$$12$$

Answer

$$\frac{12\left(x^2-2\right)}{\left(x+2\right)\left(x+1\right)}$$

Question 13

Multiply the following rational expressions, simplifying the answer if needed:

Accepted Answer

$$\frac{3\left(n-1\right)}{2}$$

Answer

$$3n-2$$

Answer

$$\frac{2\left(n+3\right)}{n-5}$$

Answer

$$1$$

Question 14

Multiply the following rational expressions, simplifying the answer if needed:

$$\frac{x^2-x-6}{x-3}\cdot\frac{x+9}{x^2-x-6}$$

Accepted Answer

$$\frac{x+9}{x-3}$$

Answer

$$\frac{x-3}{x+9}$$

Answer

$$\frac{x-3}{x+2}$$

Answer

$$x+9$$

Question 15

Divide the Rational Expression

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 16

Divide the Rational Expression

Accepted Answer

1/6

Answer

x+10/ 6x+60

Answer

x+8/ 6x+60

Answer

(x+10)(x+8)/ 6x+60

Question 17

Simplify what now?!

Accepted Answer

4/(a-1)

Answer

(a-1)/4

Answer

-1/4

Answer

Not here

Simplifying Rational Expressions

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