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DSE 數學科：代數

Algebra

12 題 MCQ（基礎 0 · 中等 12 · 高階 0），撳入去睇完整解說同上一題／下一題。未學過呢個課題？先睇 數學自學路徑單元 2。

  1. 中等MATH-ALGE-001

    1. If f(x) = x^3 − 2x^2 + x − 6, what is f(2)?

  2. 中等MATH-ALGE-002

    2. Solve x^2 − 5x + 6 = 0.

  3. 中等MATH-ALGE-003

    3. What is the discriminant of 2x^2 + 3x + 5 = 0?

  4. 中等MATH-ALGE-004

    4. Make r the subject of A = π r^2, where r > 0.

  5. 中等MATH-ALGE-005

    5. What are the solutions of the simultaneous equations x + y = 7 and xy = 12?

  6. 中等MATH-ALGE-006

    6. Which of the following is an identity?

  7. 中等MATH-ALGE-007

    7. Factorise 2x^2 + 7x + 3.

  8. 中等MATH-ALGE-008

    8. If x^2 + y^2 = 25 and xy = 6, what is (x + y)^2?

  9. 中等MATH-ALGE-009

    9. What is the remainder when x^3 + 2x − 5 is divided by (x + 1)?

  10. 中等MATH-ALGE-010

    10. Solve 2x^2 − 8 = 0.

  11. 中等MATH-ALGE-011

    11. If (x − 2) is a factor of x^2 + kx − 8, what is k?

  12. 中等MATH-ALGE-012

    12. The equation x^2 − 6x + k = 0 has a repeated real root. What is k?