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Tafuta S.D.S. cha 24 na 30.

Mathematics

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SEHEMU A

1. Kokotoa:

  • 12653 - 812
  1. Toa namba.

    $$
    12653 - 812 = 11841
    $$
    Jibu ni $\boxed{\text{11841}}$.
    
    • 1082 + 97
  2. Jumlisha namba.

    $$
    1082 + 97 = 1179
    $$
    Jibu ni $\boxed{\text{1179}}$.
    
    • 11043 x 12
  3. Zidisha namba.

    $$
    11043 \times 12 = 132516
    $$
    Jibu ni $\boxed{\text{132516}}$.
    
    • 120.36 - 27.138
  4. Toa namba za desimali.

    $$
    120.360 - 27.138 = 93.222
    $$
    Jibu ni $\boxed{\text{93.222}}$.
    
    • 40.175 - 20.39
  5. Toa namba za desimali.

    $$
    40.175 - 20.390 = 19.785
    $$
    Jibu ni $\boxed{\text{19.785}}$.
    
    • 10.25 x 4.2
  6. Zidisha namba za desimali.

    $$
    10.25 \times 4.2 = 43.05
    $$
    Jibu ni $\boxed{\text{43.05}}$.
    

    2. Tafuta thamani ya x katika mlinganyo ufuatao: 5(x+3)=2x+275(x+3) = 2x + 27

  7. Panua upande wa kushoto wa mlinganyo.

    5x+15=2x+275x + 15 = 2x + 27
  8. Kusanya vigezo vya xx upande mmoja na namba upande mwingine.

    5x−2x=27−155x - 2x = 27 - 15 3x=123x = 12
  9. Tatua kwa xx.

    x=123x = \frac{12}{3} x=4x = 4

    Thamani ya xx ni 4\boxed{\text{4}}.

    3. Tafuta thamani ya x katika mlinganyo ufuatao: x3+x4=7\frac{x}{3} + \frac{x}{4} = 7

  10. Tafuta kigawo kidogo cha kawaida (LCM) cha madhehebu (3 na 4), ambacho ni 12.

    Zidisha pande zote mbili za mlinganyo kwa 12.

    12(x3)+12(x4)=12(7)12 \left(\frac{x}{3}\right) + 12 \left(\frac{x}{4}\right) = 12(7) 4x+3x=844x + 3x = 84
  11. Unganisha vigezo vya xx.

    7x=847x = 84
  12. Tatua kwa xx.

    x=847x = \frac{84}{7} x=12x = 12

    Thamani ya xx ni 12\boxed{\text{12}}.

    4. Tafuta thamani ya x katika mlinganyo ufuatao: 0.2x+0.3=0.7x−4.20.2x + 0.3 = 0.7x - 4.2

  13. Kusanya vigezo vya xx upande mmoja na namba upande mwingine.

    0.3+4.2=0.7x−0.2x0.3 + 4.2 = 0.7x - 0.2x 4.5=0.5x4.5 = 0.5x
  14. Tatua kwa xx.

    x=4.50.5x = \frac{4.5}{0.5} x=9x = 9

    Thamani ya xx ni 9\boxed{\text{9}}.

    5. Tafuta thamani ya x katika mlinganyo ufuatao: 0.5x−0.2=0.3x+0.40.5x - 0.2 = 0.3x + 0.4

  15. Kusanya vigezo vya xx upande mmoja na namba upande mwingine.

    0.5x−0.3x=0.4+0.20.5x - 0.3x = 0.4 + 0.2 0.2x=0.60.2x = 0.6
  16. Tatua kwa xx.

    x=0.60.2x = \frac{0.6}{0.2} x=3x = 3

    Thamani ya xx ni 3\boxed{\text{3}}.

    6. Tafuta thamani ya x katika mlinganyo ufuatao: 0.1x+0.2=0.3x−0.40.1x + 0.2 = 0.3x - 0.4

  17. Kusanya vigezo vya xx upande mmoja na namba upande mwingine.

    0.2+0.4=0.3x−0.1x0.2 + 0.4 = 0.3x - 0.1x 0.6=0.2x0.6 = 0.2x
  18. Tatua kwa xx.

    x=0.60.2x = \frac{0.6}{0.2} x=3x = 3

    Thamani ya xx ni 3\boxed{\text{3}}.

    7. Tafuta thamani ya x katika mlinganyo ufuatao: 0.4x+0.5=0.6x−0.70.4x + 0.5 = 0.6x - 0.7

  19. Kusanya vigezo vya xx upande mmoja na namba upande mwingine.

    0.5+0.7=0.6x−0.4x0.5 + 0.7 = 0.6x - 0.4x 1.2=0.2x1.2 = 0.2x
  20. Tatua kwa xx.

    x=1.20.2x = \frac{1.2}{0.2} x=6x = 6

    Thamani ya xx ni 6\boxed{\text{6}}.

    8. Tafuta thamani ya x katika mlinganyo ufuatao: 0.8x+0.9=0.1x−0.20.8x + 0.9 = 0.1x - 0.2

  21. Kusanya vigezo vya xx upande mmoja na namba upande mwingine.

    0.8x−0.1x=−0.2−0.90.8x - 0.1x = -0.2 - 0.9 0.7x=−1.10.7x = -1.1
  22. Tatua kwa xx.

    x=−1.10.7x = \frac{-1.1}{0.7} x=−117x = -\frac{11}{7}

    Thamani ya xx ni −117\boxed{-\frac{11}{7}}.

    9. Tafuta thamani ya x katika mlinganyo ufuatao: 0.9x+0.8=0.7x−0.60.9x + 0.8 = 0.7x - 0.6

  23. Kusanya vigezo vya xx upande mmoja na namba upande mwingine.

    0.9x−0.7x=−0.6−0.80.9x - 0.7x = -0.6 - 0.8 0.2x=−1.40.2x = -1.4
  24. Tatua kwa xx.

    x=−1.40.2x = \frac{-1.4}{0.2} x=−7x = -7

    Thamani ya xx ni -7\boxed{\text{-7}}.

    10. Tafuta thamani ya x katika mlinganyo ufuatao: 0.6x+0.7=0.8x−0.90.6x + 0.7 = 0.8x - 0.9

  25. Kusanya vigezo vya xx upande mmoja na namba upande mwingine.

    0.7+0.9=0.8x−0.6x0.7 + 0.9 = 0.8x - 0.6x 1.6=0.2x1.6 = 0.2x
  26. Tatua kwa xx.

    x=1.60.2x = \frac{1.6}{0.2} x=8x = 8

    Thamani ya xx ni 8\boxed{\text{8}}.

    SEHEMU B

    1. Tafuta thamani ya x katika mlinganyo ufuatao: 0.2x+0.3=0.7x−4.20.2x + 0.3 = 0.7x - 4.2

  27. Kusanya vigezo vya xx upande mmoja na namba upande mwingine.

    0.3+4.2=0.7x−0.2x0.3 + 4.2 = 0.7x - 0.2x 4.5=0.5x4.5 = 0.5x
  28. Tatua kwa xx.

    x=4.50.5x = \frac{4.5}{0.5} x=9x = 9

    Thamani ya xx ni 9\boxed{\text{9}}.

    2. Tafuta thamani ya x katika mlinganyo ufuatao: 0.5x−0.2=0.3x+0.40.5x - 0.2 = 0.3x + 0.4

  29. Kusanya vigezo vya xx upande mmoja na namba upande mwingine.

    0.5x−0.3x=0.4+0.20.5x - 0.3x = 0.4 + 0.2 0.2x=0.60.2x = 0.6
  30. Tatua kwa xx.

    x=0.60.2x = \frac{0.6}{0.2} x=3x = 3

    Thamani ya xx ni 3\boxed{\text{3}}.

    3. Tafuta thamani ya x katika mlinganyo ufuatao: 0.1x+0.2=0.3x−0.40.1x + 0.2 = 0.3x - 0.4

  31. Kusanya vigezo vya xx upande mmoja na namba upande mwingine.

    0.2+0.4=0.3x−0.1x0.2 + 0.4 = 0.3x - 0.1x 0.6=0.2x0.6 = 0.2x
  32. Tatua kwa xx.

    x=0.60.2x = \frac{0.6}{0.2} x=3x = 3

    Thamani ya xx ni 3\boxed{\text{3}}.

    4. Tafuta thamani ya x katika mlinganyo ufuatao: 0.4x+0.5=0.6x−0.70.4x + 0.5 = 0.6x - 0.7

  33. Kusanya vigezo vya xx upande mmoja na namba upande mwingine.

    0.5+0.7=0.6x−0.4x0.5 + 0.7 = 0.6x - 0.4x 1.2=0.2x1.2 = 0.2x
  34. Tatua kwa xx.

    x=1.20.2x = \frac{1.2}{0.2} x=6x = 6

    Thamani ya xx ni 6\boxed{\text{6}}.

    5. Tafuta thamani ya x katika mlinganyo ufuatao: 0.8x+0.9=0.1x−0.20.8x + 0.9 = 0.1x - 0.2

  35. Kusanya vigezo vya xx upande mmoja na namba upande mwingine.

    0.8x−0.1x=−0.2−0.90.8x - 0.1x = -0.2 - 0.9 0.7x=−1.10.7x = -1.1
  36. Tatua kwa xx.

    x=−1.10.7x = \frac{-1.1}{0.7} x=−117x = -\frac{11}{7}

    Thamani ya xx ni −117\boxed{-\frac{11}{7}}.

    6. Tafuta thamani ya x katika mlinganyo ufuatao: 0.9x+0.8=0.7x−0.60.9x + 0.8 = 0.7x - 0.6

  37. Kusanya vigezo vya xx upande mmoja na namba upande mwingine.

    0.9x−0.7x=−0.6−0.80.9x - 0.7x = -0.6 - 0.8 0.2x=−1.40.2x = -1.4
  38. Tatua kwa xx.

    x=−1.40.2x = \frac{-1.4}{0.2} x=−7x = -7

    Thamani ya xx ni -7\boxed{\text{-7}}.

    7. Tafuta thamani ya x katika mlinganyo ufuatao: 0.6x+0.7=0.8x−0.90.6x + 0.7 = 0.8x - 0.9

  39. Kusanya vigezo vya xx upande mmoja na namba upande mwingine.

    0.7+0.9=0.8x−0.6x0.7 + 0.9 = 0.8x - 0.6x 1.6=0.2x1.6 = 0.2x
  40. Tatua kwa xx.

    x=1.60.2x = \frac{1.6}{0.2} x=8x = 8

    Thamani ya xx ni 8\boxed{\text{8}}.

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