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/(n-7)

Answer

n-7

Answer

(n-6)/(n-7)

Answer

n-6

Question 3

Simplify
Hint:(bottom is dif of square)

Accepted Answer

1/(x-9)

Answer

(x-9)/(x+9)

Answer

(x+9)

Answer

1/(x+9)

Question 4

Factor:
16x² + 18x + 12

Accepted Answer

2(8x² + 9x + 6)

Answer

4(4x² + 6x + 3)

Answer

2x(8x + 9 + 3)

Answer

x(16x + 18 + 12)

Question 5

Which value of x makes the expression undefined?

Accepted Answer

-2

Answer

2

Answer

-6

Answer

-3

Question 6

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 7

Divide and Simplify

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 8

Multiply the Rational Expression

Accepted Answer

B.

Answer

A.

Answer

C.

Answer

D.

Question 9

Divide the Rational Expression

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 10

Divide the Rational Expression

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 11

Multiply the Rational Expression

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 12

Simplify.

Accepted Answer

7/(m-3)

Answer

(m+6)/(m-3)

Answer

7(m+6)

Answer

(m-3)

Question 13

Simplify.

Accepted Answer

(x+6)/(x-5)

Answer

(x+6)/(x+4)

Answer

(x+6)(x+4)

Answer

(x+6)

Question 14

SIMPLIFY

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 15

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 16

Simplify.

Accepted Answer

1/(n-7)

Answer

n-7

Answer

(n-6)/(n-7)

Answer

n-6

Question 17

Question 17.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 18

Question 18.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 19

Question 19.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 20

Question 20.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 21

Question 21.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 22

Question 22.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 23

Question 23.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 24

Question 24.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 25

Question 25.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 26

Question 26.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 27

Simplify.

Accepted Answer

B.

Answer

A.

Answer

C.

Answer

D.

Question 28

Find the Excluded Value of 32n²/24n

Accepted Answer

n = 0

Answer

n = 24

Answer

n = -24

Answer

n can be any real number

Question 29

Factor Completely:
x⁴-9x²Hint: Factor GCF first.

Accepted Answer

x²(x+3)(x-3)

Answer

(x²+3x)(x²-3x)

Answer

(x²+9)(x-3)(x+3)

Answer

x2(x2-9)

Question 30

Simplify

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 31

My first step will be to change the operator to multiplication and reciprocate the second fraction when...

Accepted Answer

Dividing

Answer

Adding

Answer

Subtracting

Answer

Multiplying

Question 32

To simplify a rational expression, I should

Accepted Answer

Factor the numerator and denominator and eliminate common factors.

Answer

Eliminate common terms in the numerator and denominator.

Answer

Combine like terms in the numerator and denominator.

Answer

Find an LCD.

Question 33

Simplify the following expression:

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 34

Perform the operation

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 35

Perform the operation

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 36

Simplify:
$$\frac{x^2+10x+24}{x^2-x-20}$$

Accepted Answer

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

Answer

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

Answer

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

Answer

$$x+6$$

Question 37

$$\frac{\left(x+9\right)\left(x+8\right)}{8}\cdot\frac{\left(x-1\right)}{\left(x+8\right)\left(x-1\right)}$$

Accepted Answer

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

Answer

$$\frac{\left(x-1\right)}{8}$$

Answer

$$\frac{1}{8}$$

Answer

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

Question 38

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

Accepted Answer

$$x+9$$

Answer

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

Answer

$$\frac{x+9}{x+2}$$

Answer

$$x-3$$

Question 39

Simplify:
$$\frac{x+9}{x^2-81}$$

Accepted Answer

$$\frac{1}{x-9}$$

Answer

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

Answer

$$x+9$$

Answer

$$\frac{1}{x+9}$$

Question 40

Question 40.

Accepted Answer

3 / 7a4

Answer

10 / 14a⁴

Answer

21 / 49a⁴

Answer

3 / a4

Question 41

SIMPLIFY

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 42

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 43

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 44

Simplify.

Accepted Answer

(x+6)/(x-5)

Answer

(x+6)/(x+4)

Answer

(x+6)(x+4)

Answer

(x+6)

Question 45

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 46

Simplify.

Accepted Answer

p/2

Answer

2p

Answer

2/p

Answer

4p

Question 47

Find the product

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 48

Divide

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 49

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

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 50

Simplify.

Accepted Answer

B

Answer

A

Answer

C

Answer

D

Question 51

Divide the Rational Expression
$$\frac{x^2-4x-5}{x^2-3x+2}\div\frac{x^2-3x-10}{x^2-4}$$

Accepted Answer

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

Answer

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

Answer

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

Answer

$$x+1$$

Rational Expressions Review

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