德望學校 – S1數學 1A Chapter 2 Introduction to Algebra – CQ (12-17)

試卷答案:

1. a) 2mn
   b) 2
2. a) It is an arithmetic sequence.
   b) 4th term = -2/3
   5th term = -1
   c) (2-n)/3
   d) 38th term = -12
3. V = 77
4. 2ab/9
5. S=444
6. -4ab
7. a) 13
   b) 3n – 2
   c) (3n – 2)²
8. a) 1, 3, 5, 7 ,9
   b) n=1, y=1; n=2, y=4; n=3, y=9; n=4, y=16; n=5; y= 25
   c) y = n²
9. a) 7 – ab + 6ba² – 3ab²
   b) -7a + a²
   c) 24a⁴
10. a) W = 64x + 32y
    b) No, I don’t agree.
11. a) -21x³ + 13x² – 16x + 4
    b) 54
12. a) Geometric Sequence
    b) 1/3ⁿ
    c) \(\dfrac{2}{3^{n}+2}\)
13. a) 0.1, 0.2, 0.3, 0.4
    b) i) 0.1n – 3
        ii) \(0.1n \times (-1)^{n}\)
14. There are 24 $10-notes and 76 $20-notes.
15. a) The 4th Figure
       
    b) 2nd: 8, 3rd: 15, 4th: 24, 5th: 35
    c) (n+1)² – 1  or  n² + 2n
    d) 11² – 1 = 120
16. a) 1/3, 1/9
    b) Geometric sequence
17. a) 0
    b) a³ – 2b³ + a
    c) -2 – a + a²
18. y = -2
19. a) \(b = \dfrac{a+c}{2}\)
    b) x = 15, y = 27
20. a) x²
    b) -9x² – 7x + 6
21. S = -6
22. x – y – 2xy
23. a) i) 26
        ii) 51
       iii) 5n + 1
       iv) 10n²
    b) 10n²
24. a) 2x – 15
    b) c (a + b)
25. M = 1/4

如欲取得詳細題解, 請電郵 [email protected]。

< 返回 德望學校 – 中一數學考試真題 主頁 >