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Tutorial ID | Title | Tutorial | Video Tutorial | Revision Notes | Revision Questions | |
---|---|---|---|---|---|---|

11.4 | Rational Expressions |

**1.** . Which of the following is NOT a rational expression?

*3**/**2x**x - 1**/**2x**1**/**√x*- 5

**Correct Answer: C**

**2.** . What is the rational expression form of

- 1
- x - 1
*1**/**x*- x

**Correct Answer: C**

**3.** . Which of the following is a disallowed value for the rational expression

- -1
- 4
- 0
- 3

**Correct Answer: D**

**4.** . What is the simplest form of the rational expression

- 4y
^{2}z *4y*^{2}*/**z**4xy**/**z**27y*^{2}*/**z*

**Correct Answer: B**

**5.** . Which of the following is equivalent to the rational expression

*x + 1**/**2**x - 1**/**2**x - 1**/**x + 1**x + 1**/**2(x - 1)*

**Correct Answer: A**

**6.** . What is

*3x - 1**/**3x**3x - 1**/**9x**3x + 1**/**3x**3x - 5**/**3x*

**Correct Answer: A**

**7.** . What is

*1 - x**/**4x - 1**7x*^{2}- 6x + 2*/**3x*^{2}- 3x*2x*^{2}- 5x + 2*/**-3x*^{2}+ 3x*2x*^{2}- 5x + 2*/**2x - 1*

**Correct Answer: B**

**8.** . Write the product below in the simplest form

*-3**/**5**-3**/**5x**-3x**/**5**3**/**5*

**Correct Answer: B**

**9.** . Calculate

- 2x
*1**/**2x*- 2x
^{2} *2**/**x*

**Correct Answer: A**

**10.** . What is the LCM of 6x^{3}y^{4}z and 8xy^{2}z^{4}?

- 14x
^{4}y^{6}z^{5} - 24x
^{4}y^{6}z^{5} - 24 x
^{3}y^{4}z^{4} - 24xyz

**Correct Answer: C**

**11.** . What is the simplest form of the complex fraction

- -6
- 6
- -
*x*^{2}+ 9*/**24x* - -
*x*^{2}- 9*/**24x*

**Correct Answer: A**

**12.** . What is the value of

5 - *5 - **5 - ...**/**3**/**3*

*14**/**3**15**/**4**16**/**5**17**/**6*

**Correct Answer: B**

**13.** . What is the simplest form of the following complex fraction

x + *1 + **1 + **1**/**x**/**x + 1**/**x**/**1**/**x*

*3**/**x*- x +
*1**/**x* - 4x
- 3x

**Correct Answer: D**

**14.** . If we have

then what is A · B

**Hint!** You have to solve a system of linear equations with A and B as variables.

- 3
- 4
- 12
- 15

**Correct Answer: C**

**15.** . If

x^{2} - y^{2} = 36 and *1**/**x + y* + *1**/**x - y* = *5**/**9*

are given, then what is the value of y?

- 4
- 6
- 8
- 10

**Correct Answer: C**

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- Continuing learning polynomials - read our next math tutorial: The Definition of Monomials and Polynomials

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