德望學校 – S2數學 2A Chapter 5 Algebraic Fractions and Formulae – CQ (16-21)

試卷答案:

1. a) (x + 1)(x – 2)
   b) \(\dfrac{x-1}{x+1}\)
   c) \(\dfrac{4x}{(x-1)(x+1)}\)
2. \(\dfrac{y^{11}}{x^{2}}\)
3. a) \(\dfrac{3x-4}{2(6x-1)}\)
   b) \(-\dfrac{2b(a+2b)}{3}\)
4. a) \(F=\dfrac{5C-160}{9}\)
   b) -5
   c) +5/9
5. a) \(\dfrac{2m+n}{m}\)
   b) \(\dfrac{4s+7r}{r(4s+r)}\)
6. \(m=\dfrac{6AB}{3A-4C}\)
7. a) \(\dfrac{-1}{2(x-2} \quad or \quad \dfrac{1}{2(2-x)}\)
   b) \(x=2-\dfrac{1}{2y}\)
8. a) \(\dfrac{4}{3(a+3)}\)
   b) m/3
9. a) 3
   b) 0
10. \(a=\dfrac{n}{m-n}\)
11. a) 24x
    b) \(\dfrac{y}{(x+1)^{2}}\)
12. \(M=\dfrac{4RT-8}{3T+1}\)
13. a) \(y=\dfrac{2x}{1-5x}\)
    b) -4 / 11
14. a) -r / 8s
    b) \(\dfrac{9a-8b}{6(b-a)}\)
15. a) -2x / 3
    b) \(\dfrac{b+d}{a+c}\)
16. a) \(q=\dfrac{-8p+19}{5}\)
    b) -1
    c) I disagree with her claim.
17. \(p=\dfrac{10q}{8q+3}\)
18. \(\dfrac{3b-a}{3b(3b+a)}\)

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