Quiz about M2T3L4 Simplifying Rational Expressions

Question 1

Question 1.

Accepted Answer

14p⁶ / 27

Answer

28p⁷ / 54p

Answer

11p¹² / 54p

Answer

14p¹¹ / 27

Question 2

Divide the Rational Expression

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 3

Simplify the expression

Accepted Answer

3 / 10y

Answer

6x / 20xy

Answer

(6x+1) / (20xy)

Answer

3 / 20xy

Question 4

Subtract

$$\frac{6}{x^2+4x-32}-\frac{x-5}{x-4}$$

Accepted Answer

$$\frac{-x^2-3x+46}{\left(x+8 ight)\left(x-4 ight)}\ ,\ x e-8,\ 4$$

Answer

$$\frac{-x^2+3x-34}{\left(x+8 ight)\left(x-4 ight)}\ ,\ x e-8,\ 4$$

Answer

$$\frac{-x^2+3x-34}{\left(x+8 ight)\left(x-4 ight)}\ ,\ x e-4,\ 8$$

Answer

$$\frac{-x^2-3x+46}{\left(x+8 ight)\left(x-4 ight)}\ ,\ x e-4,\ 8$$

Question 5

Multiply & Simplify:
$$\frac{x^3-9x}{x^2+10x+21}\cdot\frac{x^2+7x}{x^2+5x-24}$$

Accepted Answer

$$\frac{x^2}{x+8}$$

Answer

$$\frac{2x}{x+8}$$

Answer

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

Answer

$$\frac{x^2\left(x-9\right)}{x+8}$$

Question 6

Find the least common denominator of the expression

Accepted Answer

6xy

Answer

18

Answer

6x

Answer

3xy

Question 7

Divide

Accepted Answer

1/6

Answer

(x+10) / (6(x+10))

Answer

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

Answer

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

Question 8

Subtract

$$\frac{x-5}{3x+4}-\frac{3x-5}{3x+4}$$

Accepted Answer

$$\frac{-2x}{3x+4}\ ,\ x e-\frac{4}{3}$$

Answer

$$\frac{-2x-10}{3x+4}\ ,\ -\frac{4}{3}$$

Answer

$$-2x\ ,\ x e0$$

Answer

$$-2x-10\ ,\ x e0$$

Question 9

Multiply:
$$\frac{2x+16}{x^2+3x-40}\cdot\frac{x^2-11x+30}{x^2-14x+48}$$

Accepted Answer

$$\frac{2}{x-8}$$

Answer

$$\frac{3x^2\left(x+5\right)}{5}$$

Answer

$$x-2$$

Answer

$$6x^2\left(x-4\right)$$

Question 10

Question 10.

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 11

Add

$$\frac{2}{x^2-x-20}+\frac{3}{x^2+7x+12}$$

Accepted Answer

$$\frac{5x-9}{\left(x-5 ight)\left(x+4 ight)\left(x+3 ight)}\ ,\ x e-4,\ -3,\ 5$$

Answer

$$\frac{5x-9}{\left(x-5 ight)\left(x+4 ight)\left(x+3 ight)}\ ,\ x e-5,\ 3,\ 4$$

Answer

$$\frac{5x-11}{\left(x-5 ight)\left(x+4 ight)\left(x+3 ight)}\ ,\ x e-4,\ -3,\ 5$$

Answer

$$\frac{5x-11}{\left(x-5 ight)\left(x+4 ight)\left(x+3 ight)}\ ,\ x e-5,\ 3,\ 4$$

Question 12

Divide the Rational Expression

Accepted Answer

B

Answer

A

Answer

C

Answer

D

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