Question 1

Simplify:&#10;

Accepted Answer

x - 1

Question 2

Simplify:&#10;

Accepted Answer

11eb1297_7678_01c3_93f4_198df4df217f_TB6503_00 11eb1297_7678_01c4_93f4_a7a7337340c8_TB6503_00

Question 3

Simplify:&#10;

Accepted Answer

11eb1297_7679_af84_93f4_0788020b2a06_TB6503_00

Question 4

11eb1297_7679_d696_93f4_3ddaf3561ebf_TB6503_00 11eb1297_7679_fda7_93f4_65eb9fc5908a_TB6503_00

Accepted Answer

The answer of 11eb1297_7679_d696_93f4_3ddaf3561ebf_TB6503_00 11eb1297_7679_fda7_93f4_65eb9fc5908a_TB6503_00...

Question 5

Simplify:  &#10;A)3&#10;B)0&#10;C)1&#10;D)-3

Accepted Answer

To simplify the expression, we can use the following steps:

1. Factor out -3 from the numerator:
$$\frac{6-3x}{x-2} = \frac{3(2-x)}{x-2}$$

2. Simplify the negative signs:
$$\frac{3(x-2)}{x-2} = 3$$

However, we need to be careful with dividing by (x-2) since it could be zero. Thus, we can also say that the expression is undefined when x = 2.

Therefore, the answer is D because the simplified expression is -3 and the expression is undefined when x = 2.

Question 6

Factor the numerator and denomintor and then reduce the fraction:  &#10;A)  &#10;B)  &#10;C)  &#10;D)  &#10;

Accepted Answer

First, we can factor the numerator:

$$x^2 + 5x + 6 = (x+2)(x+3)$$

Then, we can factor the denominator:

$$5x + 15 = 5(x+3)$$

Now we can simplify the fraction:

$$\frac{x^2+5x+6}{5x+15} = \frac{(x+2)(x+3)}{5(x+3)} = \frac{x+2}{5}$$

Therefore, the correct answer is choice A.

Question 7

Simplify:&#10;

Accepted Answer

The answer of Simplify:&#10;  ...

Question 8

Simplify:&#10;

Accepted Answer

The answer of Simplify:&#10;  ...

Question 9

Simplify:  &#10;A)  &#10;B)  &#10;C)  &#10;D)   &#10;

Accepted Answer

We can simplify the given expression by canceling out the common factor of 9 in the numerator and the denominator:

$$\frac { 18 x ^ { 8 } } { 27 x ^ { 4 } } = \frac {2 \cdot 9 \cdot x ^ { 4 } \cdot x ^ { 4 } } {3 \cdot 9 \cdot x ^ {4} }= \frac {2 x ^ { 4 } } { 3 }$$

Therefore, the answer is choice D.

Question 10

Simplify:

Accepted Answer

The answer of Simplify:...

Question 11

Simplify:&#10;

Accepted Answer

The answer of Simplify:&#10;  ...

Question 12

Simplify:&#10;

Accepted Answer

The answer of Simplify:&#10;  ...

Question 13

Simplify:  &#10;A)  &#10;B)  &#10;C)  &#10;D)

Accepted Answer

The answer of Simplify:  &#10;A)  &#10;B)  &#10;C)...

Question 14

Simplify:&#10;

Accepted Answer

The answer of Simplify:&#10;  ...

Question 15

Multiply the fractions and reduce  &#10;A)  &#10;B)  &#10;C)  &#10;D)

Accepted Answer

The answer of Multiply the fractions and reduce  &#10;A)...

Question 16

Simplify:&#10;

Accepted Answer

The answer of Simplify:&#10;  ...

Question 17

Simplify:&#10;

Accepted Answer

The answer of Simplify:&#10;  ...

Question 18

Accepted Answer

The answer of ...

Question 19

Simplify:&#10;

Accepted Answer

The answer of Simplify:&#10;  ...

Question 20

Simplify:&#10;

Accepted Answer

The answer of Simplify:&#10;  ...

Question 21

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Accepted Answer

The answer of 11eb1297_7679_133f_93f4_8dc4447f103d_TB6503_00...

Question 22

Simplify:  &#10;&#10;A)  &#10;B)  &#10;C)  &#10;D)   &#10;

Accepted Answer

The answer of Simplify:  &#10;&#10;A)  &#10;B)  &#10;C)...

Question 23

Simplify:&#10;

Accepted Answer

The answer of Simplify:&#10;  ...

Question 24

Simplify:

Accepted Answer

The answer of Simplify:  ...

Question 25

Multiply the fractions and reduce:  &#10;A)  &#10;B)  &#10;C)  &#10;D)   &#10;

Accepted Answer

The answer of Multiply the fractions and reduce:  &#10;A)...

Question 26

Simplify:&#10;

Accepted Answer

The answer of Simplify:&#10;  ...

Question 27

Simplify:&#10;

Accepted Answer

The answer of Simplify:&#10;  ...

Question 28

Simplify:&#10;

Accepted Answer

The answer of Simplify:&#10;  ...

Question 29

Simplify:&#10;

Accepted Answer

The answer of Simplify:&#10;  ...

Question 30

Simplify:&#10;

Accepted Answer

The answer of Simplify:&#10;  ...

Deck 14: Rational Expressions, Equations, and Inequalities