Multiple Choice Questions
Unit F3
Algebraic Manipulation
For each of these questions, choose the option (A, B, C or D) that is TRUE.
1

The expression (3x − 2)(x + 1) =

  • (A)
    3x2 − x − 2
  • (B)
    3x2 − x + 2
  • (C)
    3x2 + x − 2
  • (D)
    3x2 + x + 2
2

If a and b are two integers, then 3(a − b)2 means

  • (A)
    three times the square of their difference
  • (B)
    three times the difference of their squares
  • (C)
    six times their difference
  • (D)
    the square of three times their difference
3

Solve the pair of simultaneous equations

3x + y = 1
x − 2y = 5
  • (A)
    x = −1,   y = 2
  • (B)
    x = 1,   y = −2
  • (C)
    x = 2,   y = −1
  • (D)
    x = −2,   y = 1
4

8x2 − 2xy − 15y2 =

  • (A)
    (8x − 15y)(x + y)
  • (B)
    (2x + 3y)(4x − 5y)
  • (C)
    (2x − 5y)(4x + 3y)
  • (D)
    (2x − 3y)(4x + 5y)
5

(3x − 2)(3x + 2) =

  • (A)
    9x2 + 6x − 4
  • (B)
    9x2 − 4
  • (C)
    9x2 + 4
  • (D)
    9x2 − 6x + 4
6

Solve the simultaneous equations

2x + 3y = −2
2x + 5y = 2
  • (A)
    x = 2,   y = −4
  • (B)
    x = 4,   y = −2
  • (C)
    x = −2,   y = 4
  • (D)
    x = −4,   y = 2
Total: - of marks
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