Izračunaj korene naslednjih enačb in napravi preiskus! (Upoštevaj postopek za reševanje linearnih enačb)
1. 5x – 14 = 3x - 4
x = 5
1. 14n + 13 = 19n - 22
n = 7
2. 9y + 13 = 3y + 55
y = 7
3. 19x + 18 = 16x + 57
x = 13
4. 6x – 454 = -3x - 328
x = 14
5. 24x + 57 - 8x = 4x + 472 - 67
x = 29
6. 2x + 23 + 7x = 12x - 22
x = 15
7. 42x + 74 - 17x = 13x + 182
x = 9
8. 5x + 6 = 4x – 3 - x
x =
9. 11t + 70 = 9t - 10
t = - 40
10. 12 - (5x - 7) = 4x - (3x + 1) - x
x = 4
11. 37m - (160 - 24m) = 44m - 41
m = 7
12. 235 - (23y + 87) + 112y = 67y - (25y - 242)
y = 2
13. 1,5 + 4,2x = 2,9 + 1,4x
x =
14. 13,5n + 8,2 - 4n = 13,8 + 2,5n
n = 0,8
15. 28,8x - 34,4 + 18,3x = 2,45 - 19,9x
x = 0,55
16. 1,2 + (0,4x - 0,2) = 0,2 + (0,5x - 0,1)
x = 7
17. 0,5x + (1,8 + 0,3x) = 1,7x - (0,3x + 1,8)
x = 6
18. 10 + 5y - (4y - 6) = 9y - (7y - 7)
y = 9
19. 11 + 8m – 25 = 14m + (3m - 77)
m = 7
20. 17 + (5y - 15) - (y - (2y - 3)) = 21 + y - (2y + 3 - (4y + 8))
y = 9
21. 6 - (4x - (5x - 15) + (2x - 5)) = x - (7 – x - (9 + 5x))
x = 3
22. 3x - (3x - (2x - 7)) = 7x - (8x - (9x - 8))
x =
23. 41- (20 - (3 - (1 - 3x)) + 9) = 2x + 36
x = 22
24. 5x – 8 - (7 - (2x - 4) - 9) = 2x - 15
x= -1
25. x – 34 - (3x + (2x - (3x + 10))) = 28 - (7 + 6x)
x = 9
26. 10x - (7x + 93x - (2x - 7))) = 7x - (8x - (9x - 8))
x =
27. 3 . (x + 5) = 36 2 . (x - 1) = 6
x = 7, x = 4
28. 7 . (y - 3) = 14 13 . (12 - y) = 26
y = 5, y = 10
29. 5 . (35 - m) = 15 9 . (9 - x) = 18
m =32, x = 7
30. 8 . (2z + 5) = 72 4 . (15 - 2z) =2 0
z = 2, z = 5
31. 8 . (7x - 61) = 16 15 . (15 - 4x) = 45
x = 9, x = 3
32. 2 . (x - 1) + 5 = 5 . (x - 3) - 6
x = 8
33. 12 . (5 + z) = 8 . (z - 5) - 60
z = - 40
34. 2 . (4x - 7) + 3 = 3 . (x - 1) - 15
x =
35. 40 – 2 . (x + 5) = 3 . (3x + 1) - 17
x = 4
36. 4 . (2 - x) – 3 . (3 - x) = 5 . (x + 4) - 19
x =
37. 11.(4 - 3x) – 2 . (1 - 4x) = 2x - (3x - 6)
x =
38. 2x – 11 . (2 + 3x) = 9 . (x - 1) - 33
x =
39. 6 . (x - 7) – 2 . (9 - 4x) = 5 . (1 - 7x) - 3x
x =
40. 6 . (x – 3 . (x - 2)) = 4 . (x - 21) + 24
x = 6
41. 3 . (8x - (32 + x)) = 12x – 2 . (83 - 2x)
x = - 14
42. 3x - (6x – 3 . (3x - (4x - 5))) = 3
x = 2
43. 70 – 2 . (3 . (4 . (x - 5) - 2) - 3) - 8x = 0
x =
44. 2x – 2 . (x – 2 . (x – 2 . (x - 2))) =0
x = 4
45. x . (x + 17) = x2 + 13x + 40
x = 10
46. (x + 4) . (8x - 21) = 8x2 + 4x
x = 12
47. (3x - 8) . (4x - 5) = (2x - 2) . (6x - 17)
x = 6
48. (5y + 3) . (5y - 3) = (5y - 1)2 - 70
y = 6
49. (x - 1) . (4x - 2) – 31 = (2x + 3) . (2x + 5)
x = - 2
50. (3x - 2) . (2x - 5) = 2 . (3x + 4) . (x - 1) - 45
x = 3
51. (x - 2) . (x - 1) – x . (2x - 5) = 14 - (x - 3) . (x - 4)
x = 0
52. (4x - 1)2 - (4x - 7)2 = 16 . (-1 - x)
x =
53. (4m + 1) . (9m - 14) - (6m - 5)2 = 0
m = 3
54. (2 + 10m)2 - (3 + 8m)2 = (4 - 6m)2 - 1
m =
55. (5x - 2)2 – 2 . (4x - 3)2 - (7x + 2) . (1 - x) = 7
x = - 1
56. (x2 - 5x + 1) . (x - 3) =( x2 - 4x - 3) . (x - 4)
x = 5
57. (x2 - 3x + 5) . (2x - 7) - (x - 1)2 = ( 2x2 - 6x + 1) . (x –4 )
x = 4
58.
x = 4; x = 18; x = 10
59.
x = 20, y = 4
60.
x = 5, x = 72
61.
x = 10
62.
x = 75
63.
x = 90
64.
x = 7
65.
x = - 13
66.
x = 39
67.
x = 15
68.
x = - 12
69.
x = 21
70.
x = 8
71.
x = 23
72.
x = - 11
73.
x = 8
74.
x = 1
75.
x =
76.
x =
77.
x = - 1
78.
x =
79.
x = 6
80.
x = 6
81.
x =
82.
x = 24
83.
x = 3
84.
x = 4
85.
6 : 
x = 2
86. (x - 5) : 12 = 8
x = 101
87.
15 : 
x = 8
88.
x = 4
89.
x = 8
90.
17 : 
x = 12
91.
x = 9
92.
x = 11
93.
x = 5
94.
x = 8
95. (x + 5) : (x + 1) = (x + 2) : x
x = 1
96.
97.
x = 8
98.
x =
99.
x =
100.
x = 24
101.
x =
102.
x =
103.
x =
104.
x =
105.
x = 5
V naslednjih nalogah so neznanke označene s črkami iz zadnjega konca abecede: x, y, z, t.....itd.
106. x + a = b x – a = b
x = b - a, x = a + b
107. a – x = b b – x = a
x = a - b, x = b - a
108. m . x = n n . x = m
x = n/m , x = m/n
109.
x = m . n , x = m . n
110. ax + bx = c ax – bx = c
111.
x = a(c - b) , x = a(b + c)
112. x - 7a = 4a x + 3a = 7,5a
x = 11a, x = 4,5a
113. 3,5a – x = a 4a + x = 6a
x = 2,5a ; x = 2a
114.
8b + 1,5b – b = b -
x = 18b, x = 2,5b
115.
x = 4a, x = 2a
116.
x = 10a
117.
x = 4a
118.
x = b
119.
120.
1 
x = a
121.
122.
x = -7a
123.
124.
x = a + b
125.
x = 2
126.
127. x . (x + b) – b = x . (x + 2a) - 2a
x = 1
128. (2x + a) . (2x + b) = (2x - a) . (2x - b)
x = 0
129. ax - (a - b)2 = bx
x = a – b
130.
x = -2a
131.
132.
x = a2 - b2
133.
x =
134. x2 = 225, y2 = 676, z2 = 54,76
x = 15, y = 26, z = 7,4
135.
x = 49, x = 225, z = 3,61, m = 28,09
136.
x = 11, x = 9, x = 3
137.
x = 9, x = 34