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Algebra

Algebra. 1. 3p 2. (x + 4) 2 Ap (x – 2)(x + 4) . (x + 4). 3. =. (x – 2). =. A. 3. 7 + 9 4. 10 - a d d r t. 10t. ar. 16. =. –. =. rt. rt. d. 10t – ar. =. rt.

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Algebra

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  1. Algebra

  2. 1. 3p 2. (x + 4)2 Ap (x – 2)(x + 4) (x + 4) 3 = (x – 2) = A 3. 7 + 9 4. 10 - a d d r t 10t ar 16 = – = rt rt d 10t – ar = rt

  3. 5. e X 5 6. a ÷ 4 y g e r 5e r a = gy = X e 4 ar = 4e

  4. 7. K = A + T 8. E = Ap – t 9. R = A2 Y A + T = K Ap – t = E A2 = R Y A = K – T Ap = E + t A2 = YR A = E + t A = √YR p

  5. 10. √27 11. √48 12. √3 X √8 = √24 = √9 X √3 = √16 X √3 = √4 X √6 = 3√3 = 4√3 = 2√6

  6. 13. 64 14. 8√7 - 3√7 25 √64 = 5√7 = √25 8 = 5

  7. 16. 6 15. √50 + √18 √3 = √25 X √2 + √9 X √2 6 √3 = 5√2 + 3√2 X √3 √3 = 8√2 2 6√3 = 3 1 = 2√3

  8. 17. a) (4x – 3)2 (4x – 3)(4x – 3) = 16x2 – 12x – 12x + 9 = 16x2 – 24x + 9 b) (x + 2)(x2 – 5x + 3) x(x2 – 5x + 3) + 2(x2 – 5x + 3) = x3 – 5x2 + 3x + 2x2 – 10x + 6 = x3 – 3x2– 7x + 6

  9. 18 a) 3x2 – 48 = 3(x2 – 16) = 3(x – 4)(x + 4) b) 2x2 – 4x – 30 = 2(x2 – 2x – 15) = 2(x – 5)(x + 3)

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