Algebraic fractions

Mark scheme and answers · Total marks: 40

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Question 1 [1 mark]

32 (x ≠ 0).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 2 [1 mark]

xy (x, y ≠ 0).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 3 [1 mark]

x + 1 (x ≠ 1).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 4 [1 mark]

2x (x ≠ 0).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 5 [1 mark]

x + 2 (x ≠ 0).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 6 [1 mark]

1 (x ≠ −3).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 7 [1 mark]

2 (x ≠ −2).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 8 [1 mark]

x + 2 (x ≠ 0, 2).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 9 [1 mark]

1 (x ≠ 0, −1).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 10 [1 mark]

1 (x ≠ 1, −2).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 11 [1 mark]

x = 3 (x ≠ −1).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 12 [1 mark]

x = 25 (x ≠ 0).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 13 [1 mark]

x = 3 (x ≠ 1).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 14 [1 mark]

7x (x ≠ 0).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 15 [1 mark]

x = 1 (x ≠ 0).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 16 [1 mark]

x = 8 (x ≠ 2, −1).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 17 [1 mark]

7xx + 1 (x ≠ −1).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 18 [1 mark]

4x - 2 (x ≠ 2).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 19 [1 mark]

2x + 3 (x ≠ −3).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 20 [1 mark]

5x2x - 1 (x ≠ 12).

Mark scheme
  • A [1] — cao

Accept algebraically equivalent correct forms.

Question 21 [2 marks]

x + yxy (x, y ≠ 0).

Mark scheme
  • A [2] — cao

Accept algebraically equivalent correct forms.

Question 22 [2 marks]

2x + 3 (x ≠ 0).

Mark scheme
  • A [2] — cao

Accept algebraically equivalent correct forms.

Question 23 [2 marks]

x20.

Mark scheme
  • A [2] — cao

Accept algebraically equivalent correct forms.

Question 24 [2 marks]

3x - 2 (x ≠ 0).

Mark scheme
  • A [2] — cao

Accept algebraically equivalent correct forms.

Question 25 [2 marks]

5x + 7(x + 1)(x + 2) (x ≠ −1, −2).

Mark scheme
  • A [2] — cao

Accept algebraically equivalent correct forms.

Question 26 [2 marks]

2x + 1x(x + 1) (x ≠ 0, −1).

Mark scheme
  • A [2] — cao

Accept algebraically equivalent correct forms.

Question 27 [2 marks]

5(x - 1)(x + 2)(x - 3) (x ≠ −2, 3).

Mark scheme
  • A [2] — cao

Accept algebraically equivalent correct forms.

Question 28 [2 marks]

x + 3x² - 1 (x ≠ ±1).

Mark scheme
  • A [2] — cao

Accept algebraically equivalent correct forms.

Question 29 [2 marks]

2xx² - 1 (x ≠ ±1).

Mark scheme
  • A [2] — cao

Accept algebraically equivalent correct forms.

Question 30 [2 marks]

4xx² - 1 (x ≠ ±1).

Mark scheme
  • A [2] — cao

Accept algebraically equivalent correct forms.