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balansmethode opgaven - Wiskundetrainer.nl

balansmethode opgaven - Wiskundetrainer.nl

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alansmethode <strong>opgaven</strong>1. Los de volgende vergelijkingen op:A. 3x + 7 = 28B. 4x + 9 = 53C. 2x + 3 = 11D. 5 + 4x = 39E. 12 + 3x = 15F. 2x - 8 = 20G. 3x - 7 = 41H. 12 - 4x = 2I. 5 - 8x = -11J. 100 - 9x = 12. Los de volgende vergelijkingen op:A. 5x + 3 = 2x + 30B. 4x + 10 = 2x + 2C. 6x - 7 = x + 8D. 3x + 20 = 8x - 5E. 7x + 19 = 2x + 29F. 8x - 9 = 4x - 5G. 2x + 1 = 10x - 7H. 3x - 8 = x + 7I. x = 5x - 4J. 6x + 6 = 8x + 83. Los de volgende vergelijkingen op:A. 5x + 2 = -x + 32B. -2x + 10 = 3x - 25C. -3x + 6 = 3x - 6D. -8x - 20 = 2x + 5E. 5x - 8 = -3x + 24F. -7x - 10 = 5x - 46G. 12 + 3x = -x - 8H. 6 = -2x + 20I. -3x - 3 = 6x + 6J. -6x + 100 = 3x + 284. Los de volgende vergelijkingen op:A. -2x + 7 = -5x + 13B. -5x - 3 = -10x + 27C. -4x + 8 = -2x + 1D. -3x + 10 = -x - 8E. -5x - 2 = -3x + 2F. -12x + 82 = -6x - 2G. -3x - 3 = -6x - 6H. -x + 3 = -8x + 24I. -5x - 1 = -7x + 1J. -7x + 12 = -13x + 12


5. Los de volgende vergelijkingen op:A. 7x + 3 = 4x + 15B. 5a + 9 = 8a + 3C. 6p + 2 = 4p + 17D. 4m - 8 = 2m + 4E. 3q + 3 = 8q - 22F. 7h - 12 = h + 36G. 9z + 13 = 7z - 15H. -8d + 7 = 2d + 47I. 6w - 7 = 4w - 21J. 12 + 2k = -5k - 236. Los de volgende vergelijkingen op:A. 8x + 13 = 3x + 33B. 4a + 13 = 7a + 3C. 7p + 7 = 5p + 19D. 3m - 7 = m + 13E. 5q + 6 = 9q - 32F. 9h - 14 = 2h + 35G. 11z + 23 = 5z - 37H. -8d + 9 = 3d + 42I. 9w - 31 = 6w - 18J. 5 + 4k = -5k - 677. Los de volgende vergelijkingen op:A. 8x - 43 = 3x - 25B. 4a + 19 = 7a - 14C. -5p - 12 = p + 15D. 27 - 4m = 2m + 3E. 6q + 2 = -2q - 26F. 2h - 10 = 16 - 3hG. -2z + 17 = -4z - 15H. -5d + 32 = 3d - 32I. 12 - w = 5w + 12J. 31 + -4k = -7k - 238. Los de volgende vergelijkingen op:A. 6x - 37 = 4x - 24B. 14a + 67 = 9a - 13C. -6p - 17 = p + 18D. 45 - 9m = 4m + 6E. 8q + 5 = -4q - 25F. 5h - 30 = 46 - 5hG. -3z + 26 = -6z - 16H. -7d + 42 = 8d - 33I. 19 - w = 3w + 41J. 19 + -9k = -6k - 32


9. Los de volgende vergelijkingen op:A. 1 / 2 x - 4 = 1 / 4 x + 12B. 2(a + 3) = 5a - 5C. 2 2 / 3 p - 1 / 3 = 3 1 / 3 p + 1D. 3(2d + 4) = 2(d - 6) + 6E. 3(q+2) - 4q = q - 6F. -3(h - 2 1 / 3 ) = 4(3 1 / 2 - h)G. 5 - 4z + 17 = -3z - 15 + zH. 5(7 - m) = 2(m + 7)I. 1 / 4 (12 - w) = 2 3 / 4 w + 12J. 3(k - 3) - 5( k - 4) = 4(k - 1)10. Los de volgende vergelijkingen op:A. 7(a + 5) = 4a - 7B. -4(h - 2 3 / 4 ) = 5(1 1 / 2 - h)C. 1 2 / 3 p -3 2 / 3 = 4 1 / 3 p + 3D. 9(5 - m) = 5(m + 2)E. 4(k - 6) - 6( k - 3) = 3(k - 4)F. 1 / 3 x - 5 = 3 / 4 x + 15G. 13 - 5z + 21 = -8z - 42 + zH. 5(3d + 7) = 4(d - 9) + 5I. 1 / 5 (15 - w) = 2 1 / 5 w + 27J. 7(q + 3) - 5q = q - 9


antwoorden <strong>opgaven</strong> <strong>balansmethode</strong>1.A. 3x + 7 = 283x = 21x = 7B. 4x + 9 = 534x = 44x = 11C. 2x + 3 = 112x = 8x = 4D. 5 + 4x = 394x = 34x = 8,5E. 12 + 3x = 153x = 3x = 1F. 2x - 8 = 202x = 28x = 14G. 3x - 7 = 413x = 48x = 16H. 12 - 4x = 24x = 10x = 2,5I. 5 - 8x = -118x = 16x = 2J. 100 - 9x = 19x = 99x = 112.A. 5x + 3 = 2x + 303x + 3 = 303x = 27x = 9B. 4x + 10 = 2x + 22x + 10 = 22x = -8x = -4C. 6x - 7 = x + 85x - 7 = 85x = 15x = 3D. 3x + 20 = 8x - 520 = 5x - 55x = 25x = 5E. 7x + 19 = 2x + 295x + 19 = 295x = 10x = 2F. 8x - 9 = 4x - 54x - 9 = -54x = 4x = 1G. 2x + 1 = 10x - 71 = 8x - 78x = 8x = 1H. 3x - 8 = x + 72 - 8 = 72x = 15x = 7,5I. x = 5x - 40 = 4x - 44x = 4x = 1J. 6x + 6 = 8x + 86 = 2x + 82x = -2x = -1


3.A. 5x + 2 = -x + 326x + 2 = 326x = 30x = 5B. -2x + 10 = 3x - 2510 = 5x - 255x = 35x = 7C. -3x + 6 = 3x - 66 = 6x - 66x = 12x = 2D. -8x - 20 = 2x + 5-20 = 10x + 510x = -25x = -2,5E. 5x - 8 = -3x + 248x - 8 = 248x = 32x = 4F. -7x - 10 = 5x - 46-10 = 12x - 4612x = 36x = 3G. 12 + 3x = -x - 812 + 4x = -84x = -20x = -5H. 6 = -2x + 202x + 6 = 202x = 14x = 7I. -3x - 3 = 6x + 6-3 = 9x + 69x = -9x = -1J. -6x + 100 = 3x + 28100 = 9x + 289x = 72x = 84.A. -2x + 7 = -5x + 133x + 7 = 133x = 6x = 2B. -5x - 3 = -10x + 275x - 3 = 273x = 30x = 6C. -4x + 8 = -2x + 18 = 2x + 12x = 7x = 3.5D. -3x + 10 = -x - 810 = 2 x - 82 x = 18x = 9E. -5x - 2 = -3x + 2-2 = 2x + 22x = -4x = -2F. -12x + 82 = -6x - 282 = 6x - 26x = 84x = 14G. -3x - 3 = -6x - 63x - 3 = -63x = -3x = -1H. -x + 3 = -8x + 247x + 3 = 247x = 21x = 3I. -5x - 1 = -7x + 12x - 1 = 12x = 2x = 1J. -7x + 12 = -13x + 126x + 12 = 126x = 0x = 0


5.A. 7x + 3 = 4x + 153x + 3 = 153x = 12x = 4B. 5a + 9 = 8a + 39 = 3a + 36 = 3aa = 2C. 6p + 2 = 4p + 172p + 2 = 172p = 15p = 7,5D. 4m - 8 = 2m + 42m - 8 = 42m = 12m = 6E. 3q + 3 = 8q - 223 = 5q - 2225 = 5qq = 5F. 7h - 12 = h + 366h - 12 = 366h = 48h = 8G. 9z + 13 = 7z - 152z + 13 = -152z = -28z = - 14H. -8d + 7 = 2d + 477 = 10d + 47-40 = 10dd = -4I. 6w - 7 = 4w - 212w - 7 = -212w = -14w = -7J. 12 + 2k = -5k - 2312 + 7k = -237k = -35k = -56.A. 8x + 13 = 3x + 335x + 13 = 335x = 20x = 4B. 4a + 13 = 7a + 313 = 3a + 310 = 3aa = 3 1 / 3C. 7p + 7 = 5p + 192p + 7 = 192p = 12p = 6D. 3m - 7 = m + 132m - 7 = 132m = 20m = 10E. 5q + 6 = 9q - 326 = 4q - 3238 = 4qq = 9,5F. 9h - 14 = 2h + 357h - 14 = 357h = 49h = 7G. 11z + 23 = 5z - 376z + 23 = -376z = -60z = -10H. -8d + 9 = 3d + 429 = 11d + 42-33 = 11dd = -3I. 9w - 31 = 6w - 183w - 31 = -183w = 13d = 4 1 / 3J. 5 + 4k = -5k - 675 + 9k = -679k = -72k = -8


7.A. 8x - 43 = 3x -255x - 43 = -255x = 18x = 3,6B. 4a + 19 = 7a - 1419 = 3a - 1433 = 3aa = 11C. -5p - 12 = p + 15-12 = 6p + 15-27 = 6pp = -4,5D. 27 - 4m = 2m + 327 = 6m + 324 = 6mm = 4E. 6q + 2 = -2q - 268q + 2 = -268q = -28q = -3,5F. 2h - 10 = 16 - 3h5h - 10 = 165h = 26h = 5,2G. -2z + 17 = -4z - 152z + 17 = -152z = -32z = -16H. -5d + 32 = 3d - 3232 = 8d - 328d = 64d = 8I. 12 - w = 5w + 1212 = 6w + 126w = 0w = 0J. 31 + -4k = -7k - 2331 + 3k = -233k = -54k = -188.A. 6x - 37 = 4x - 242x - 37 = -242x = 13x = 6,5B. 14a + 67 = 9a - 135a + 67 = -135a = -80a = -16C. -6p - 17 = p + 18-17 = 7p + 18-35 = 7pp = -5D. 45 - 9m = 4m + 645 = 13m + 639 = 13mm = 3E. 8q + 5 = -4q - 2512q + 5 = -2512q = -30q = -2,5F. 5h - 30 = 46 - 5h10h - 30 = 4610h = 76h = 7,6G. -3z + 26 = -6z - 163z + 26 = -163z = -42z = -14H. -7d + 42 = 8d - 3342 = 15d - 3375 = 15dd = 5I. 19 - w = 3w + 4119 = 4w + 414w = -22w = -5,5J. 19 + -9k = -6k - 3219 = 3k - 3251 = 3kk = 17


9.A. 1 / 2 x - 4 = 1 / 4 x + 122x - 16 = x + 48x - 16 = 48x = 64B. 2(a + 3) = 5a - 52a + 6 = 5a - 56 = 3a - 511 = 3aa = 3 2 / 3C. 2 2 / 3 p - 1 / 3 = 3 1 / 3 p + 18p - 1 = 10p + 3-1 = 2p + 3-4 = 2pp = -2D. 3(2d + 4) = 2(d - 6) + 66d + 12 = 2d - 12 + 66d + 12 = 2d - 64d + 12 = -64d = -18d = -4 1 / 2E. 3(q + 2) - 4q = q - 63q + 6 - 4q = q - 6-q + 6 = q - 66 = 2q - 612 = 2qq = 6F. -3(h - 2 1 / 3 ) = 4(3 1 / 2 - h)-3h + 7 = 14 - 4hh + 7 = 14h = 7G. 5 - 4z + 17 = -3z -15 + z22 - 4z = -2z - 1522 = 2z - 1537 = 2zz = 18 1 / 2H. 5(7 - m) = 2(m + 7)35 - 5m = 2m + 1435 = 7m + 1421 = 7mm = 3I. 1 / 4 (12 - w) = 2 3 / 4 w + 123 - 1 / 4 w = 2 3 / 4 w + 1212 - w = 11w + 4812 = 12w + 48-36 = 12ww = -3J. 3(k - 3) - 5(k - 4) = 4(k - 1)3k - 9 - 5k + 20 = 4k - 4-2k + 11 = 4k - 411 = 6k - 415 = 6kk = 2,5


10.A. 7(a + 5) = 4a - 7F. 1 / 3 x - 5 = 3 / 4 x + 157a + 35 = 4a - 74x - 60 = 9x + 1803a + 35 = -7-60 = 5x + 1803a = -42-240 = 5xa = -14x = -48B. -4(h - 2,75) = 5(1,5 - h)G. 13 - 5z + 21 = -8z - 42 + z-4h + 11 = 7,5 - 5h34 - 5z = -7z - 42-8h + 22 = 15 - 10h34 + 2z = -422h + 22 = 152z = -762h = -7z = -38h = -3,5H. 5(3d + 7) = 4(d - 9) + 5C. 1 2 / 3 p - 3 2 / 3 = 4 1 / 3 p + 315d + 35 = 4d - 36 + 55p - 11 = 13p + 915d + 35 = 4d - 31-11 = 8p + 911d + 35 = -31-20 = 8p11d = -66p = -2,5d = -6D. 9(5 - m) = 5(m + 2)I. 1 / 5 (15 - w) = 2 1 / 5 w + 2745 - 9m = 5m + 103 - 1 / 5 w = 2 1 / 5 w + 2745 = 14m + 1015 - w = 11w + 13535 = 14m15 = 12w + 135m = 2,5-120 = 12wE. 4(k - 6) - 6(k - 3) = 3(k - 4)w = -104k - 24 - 6k + 18 = 3k - 12J. 7(q + 3) - 5q = q - 9-2k - 6 = 3k - 127q + 21 - 5q = q - 9-6 = 5k - 122q + 21 = q - 96 = 5kq + 21 = -9k = 1 1 / 5 q = -30

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