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Expanding Brackets

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Expressions Learning Material
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Revision
Questions
6.2Expanding Brackets

Expanding Brackets Revision Questions

1. . The expression

-(2x - 1) - y

is equivalent to

  1. 2x - y - 1
  2. -2x - y + 1
  3. 2x - y + 1
  4. -2x + y - 1

Correct Answer: B

2. . What is the simplest form of the expression

-(a - b) - (a + b)
  1. -2a
  2. -2b
  3. -2a + 2b
  4. -2a - 2b

Correct Answer: A

3. . The expression

3 ∙ (2x - 4) - (5x + 1)

is equivalent to

  1. x - 11
  2. x - 13
  3. -9x - 11
  4. -x + 11

Correct Answer: B

4. . What is the simplest form of the expression

3a - (12 + 6b) ÷ 3
  1. 5b - 4
  2. 3a + 2b - 4
  3. 3a - 2b - 4
  4. a - 4

Correct Answer: C

5. . What is the simplest form of the expression

-3 + 4x ∙ (x - 6) + (y2 - 2y) ÷ y - y
  1. 4x2 - 24x - 3
  2. 4x2 - 24x - 2y
  3. 4x2 - 24x - y2 - 3y
  4. 4x2 - 24x - 5

Correct Answer: D

6. . The expression

(x - 1)(x - 2)(x - 3)

is equivalent to

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

Correct Answer: D

7. . What is the simplest form of the expression

x ∙ (x - 1)(x + 2)
  1. x2 + x + 2
  2. x3 + x2 + 2x
  3. x3 + x2 - 2x
  4. x3 - x2 - 2x

Correct Answer: C

8. . Which expanding from those shown below is NOT true?

  1. 12 · (2x + 1) = 12 · 2x + 12 · 1
  2. 6 ÷ (x - 3) = 6 ÷ x - 6 ÷ 3
  3. (5 - x) · 4 = 5 · 4 - x · 4
  4. (8 - 4x) ÷ 2 = 8 ÷ 2 - 4x ÷ 2

Correct Answer: B

9. . What is the simplest form of the expression

-(x - 2)(2x + 5)
  1. -2x2 - x + 10
  2. -2x2 + x - 10
  3. 2x2 + x - 10
  4. 2x2 - x + 10

Correct Answer: A

10. . What is the expanded form of the expression

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

Correct Answer: D

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  6. Continuing learning expressions - read our next math tutorial: Special Algebraic Identities Obtained through Expanding

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