Quiz about Rational Expressions Review

Question 1

Simplify.

Accepted Answer

7/(m-3)

Answer

(m+6)/(m-3)

Answer

7(m+6)

Answer

(m-3)

Question 2

Simplify

Accepted Answer

1/(x-9)

Answer

(x-9)/(x+9)

Answer

(x+9)

Answer

1/(x+9)

Question 3

Simplify

Accepted Answer

D.(x+3)/(x-4)

Answer

A.(x+7)/(x-4)

Answer

B.-3/4

Answer

C.(x+3)/(x+4)

Question 4

Simplify.

Accepted Answer

(x+6)/(x-5)

Answer

(x+6)/(x+4)

Answer

(x+6)(x+4)

Answer

(x+6)

Question 5

Question 5.

Accepted Answer

10x

Answer

5x / 3

Answer

10x / (x - 8)

Answer

6x(x - 8) / 6x

Question 6

Question 6.

Accepted Answer

(x - 5) / (x + 5)

Answer

1

Answer

(x - 8) / (x + 5)

Answer

(x + 1) / (x + 5)

Question 7

Question 7.

Accepted Answer

n - 1

Answer

2(n - 1) / 2

Answer

2(n - 1)

Answer

1

Question 8

Question 8.

Accepted Answer

(x + 9)

Answer

(x - 3) / (x + 2)

Answer

(x + 9) / (x + 2)

Answer

(x - 3)

Question 9

Multiply and Simplify

Accepted Answer

(x+2)/4(x+1)

Answer

4(x+3)/(x+2),

Answer

(x+2)/4(x+3),

Answer

4(x+1)/(x+2),

Question 10

Divide the Rational Expression

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 11

Divide

Accepted Answer

1/6

Answer

x+10/ 6x+60

Answer

x+8/ 6x+60

Answer

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

Question 12

Divide the Rational Expression

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 13

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 14

Multiply and Simplify

Accepted Answer

(x+2)/4(x+1)

Answer

4(x+3)/(x+2),

Answer

(x+2)/4(x+3),

Answer

4(x+1)/(x+2),

Question 15

Divide the Rational Expression

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 16

Question 16.

Accepted Answer

b6/2a2

Answer

2a2b6

Answer

1/2a2b6

Answer

2b6/a2

Question 17

Divide

Accepted Answer

1/6

Answer

x+10/ 6x+60

Answer

x+8/ 6x+60

Answer

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

Question 18

Simplify $$\frac{1}{n+5} imes\frac{n^2+2n-15}{n-8}$$

Accepted Answer

$$\frac{n-3}{n-8}$$

Answer

$$\frac{n-3}{\left(n+5\right)\left(n-8\right)}$$

Answer

$$\frac{n^2+2n-15}{\left(n+5\right)\left(n-8\right)}$$

Answer

$$\frac{n^2+2n-14}{2n-3}$$

Question 19

$$\frac{2a-20}{6a} imes\frac{a-9}{a-10}$$ Simplify

Accepted Answer

$$\frac{a-9}{3a}$$

Answer

$$\frac{2a^2-180}{6a^2-60a}$$

Answer

$$\frac{2\left(a-9\right)}{6a}$$

Answer

$$\frac{3a-29}{7a-10}$$

Question 20

$$\frac{m^2+m-30}{m^2+13m\ +42}\div\frac{m-2}{m+7}$$ Simplify

Accepted Answer

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

Answer

$$\frac{\left(m-5\right)\left(m-2\right)}{\left(m+7\right)^2}$$

Answer

$$\frac{m^2+2m-32}{m^2+14m+49}$$

Answer

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

Question 21

$$\frac{2}{8m^3-64m^2}\div\frac{1}{8m^2}$$

Accepted Answer

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

Answer

$$\frac{2}{m-64m^2}$$

Answer

$$\frac{16m^2}{8m^2\left(m-8\right)}$$

Answer

$$\frac{2}{64m^4\left(m-8\right)}$$

Question 22

Determine the Non-Permissible values

Accepted Answer

n = 0

Answer

n = 24

Answer

n = -24

Answer

n can be any real number

Question 23

Determine the Non-Permissible values

Accepted Answer

a = 1

Answer

a = 0

Answer

a = 10

Answer

a = -1

Question 24

Determine the Non-Permissible values

Accepted Answer

v = 5

Answer

v = 10

Answer

v = -25

Answer

v = -5

Question 25

Determine the Non-Permissible values

Accepted Answer

x = 3 and x = - 4

Answer

x = - 3 and x = 4

Answer

x = 3 only

Answer

x = - 4 only

Question 26

Determine the Non-Permissible values

Accepted Answer

8, -10

Answer

8, 9

Answer

-8, 10

Answer

-8, -9

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