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Algebraic Fractions

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6.5Algebraic Fractions

Algebraic Fractions Revision Questions

1. . Which of the following numbers is NOT a disallowed value of the algebraic fraction?

5 - x/x(x2 - 4)
  1. 5
  2. 2
  3. 0
  4. -2

Correct Answer: A

2. . Which of the following fractions will not be algebraic after it is simplified?

  1. 3x - 1/6x - 2x
  2. x2 - 4/(x - 2)2
  3. x2 + 2x - 3/(2x - 2)(x +3 )
  4. x + y/3xy

Correct Answer: C

3. . What is the simplest form of the algebraic fraction

3xy5/6x3 y2
  1. y3/2x2
  2. 3xy3/6x2
  3. xy3/x2
  4. y3/x2

Correct Answer: A

4. . What is the simplest form of the algebraic fraction

x2 - 1/x2 - 2x + 1
  1. x - 1/x + 1
  2. x + 1/x - 1
  3. 1/x + 1
  4. 1/x

Correct Answer: B

5. . What is the result of the operation

1/x + 3/2x
  1. 2/x
  2. 5/3x
  3. 5/2x
  4. 4/3x

Correct Answer: C

6. . What is the result of the operation

x2/x - 3 - 3x2/2x - 6
  1. x2/x - 3
  2. -2x2/x - 3
  3. x2/2x - 6
  4. -x2/2x - 6

Correct Answer: D

7. . What is the result of the operation

1 - x2/5x10x2/1 + x
  1. 1 - x/2
  2. 2x(1 - x)
  3. 2x/1 - x
  4. 2/1 - x

Correct Answer: B

8. . What is the result of the operation

5/2 - x ÷ 4/4 - 4x + x2
  1. 20(2 - x)/2 + x
  2. 5(2 - x)/4(2 + x)
  3. 5(2 - x)/4
  4. 5(2 - x)/2 + x

Correct Answer: C

9. . Which of the following expressions is equivalent to

1/x(x - 1)
  1. 1/x + 1/x - 1
  2. 1/x - 1/x - 1
  3. -1/x + 1/x - 1
  4. 1/x + 1/x + 1

Correct Answer: C

10. . Which of the following expressions is equivalent to

4x/1 - x2
  1. 2/1 - x - x
  2. 2/1 - x - 2/1 + x
  3. 2/1 - x + 2/1 + x
  4. -2/1 - x - 2/1 + x

Correct Answer: C

11. . Write the following expression in the simplest form.

(x - 3/9 - x2)2
  1. 3 + x
  2. 1/3 + x
  3. 1/3 - x
  4. 3 - x

Correct Answer: B

12. . What is the simplest form of the expression

(23/8x - 16)-2
  1. x2 - 4x + 4
  2. 1/x2 - 4x + 4
  3. 1/(4x - 8)2
  4. (4x - 8)2

Correct Answer: A

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  6. Continuing learning expressions - read our next math tutorial: The Meaning of Expressions. Simplifying Expressions

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