德望學校 – S2數學 2A Chapter 3 Algebraic Fractions and Formulae – CQ (13-18)

試卷答案:

1. \(\dfrac{1}{3x+13}\)
2. a) \(y=\dfrac{c}{bx-a}\)
   b) 3/19
3. \(\dfrac{x^{2}+y^{2}}{(x+y)^2}\)
4. 7 – x
5. a) \(\dfrac{1+2m}{6m(m-n)}\)
   b) \(\dfrac{a}{1+a}\)
6. a) \(C = \dfrac{5}{9}(F-32)\)
   b) Chloe has a fever.
7. a) \(\dfrac{3}{x-4}\)
   b) \(x=\dfrac{1}{2y}\)
8. b) \(\dfrac{16+y^{2}}{(y+4)(y-4}\)
9. \(P=\dfrac{h-rt^{2}}{r-h}\)
10. a) \(r=\dfrac{A-p}{p(1+r)}\)
    b) 3/8
11. a) \(-\dfrac{x-2}{x+3} \quad or \quad \dfrac{2-x}{x+3}\)
    b) 1
12. \(\dfrac{x}{x-1}\)
13. a) (x + 1)(x – 2)
    b) \(\dfrac{x-1}{x+1}\)
    c) \(\dfrac{4x}{(x-1)(x+1)}\)
14. \(\dfrac{y^{11}}{x^{2}}\)
15. a) \(\dfrac{3x-4}{2(6x-1)}\)
    b) \(-\dfrac{2b(a+2b)}{3}\)
16. a) \(F=\dfrac{5C-160}{9}\)
    b) -5
    c) +5/9
17. a) \(\dfrac{2m+n}{m}\)
    b) \(\dfrac{4s+7r}{r(4s+r)}\)
18. \(m=\dfrac{6AB}{3A-4C}\)
19. a) \(\dfrac{-1}{2(x-2} \quad or \quad \dfrac{1}{2(2-x)}\)
    b) \(x=2-\dfrac{1}{2y}\)

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