Պարապմունք 41

1․Լուծել հավասարումները․

1) x-6=8
x = 8 + 6 = 14
2) x+46=4
x = -46 + 4 = -42
3) x-96=5
x = 5 + 96 = 101
4) 2x-10=4
2x = 4 + 10 = 14
x = 14/2 = 7
5) 3x+36=6
3x = 6 – 36 = -30
x = -30/3 = -10
6) x+14=-9
x = -14 – 9 = -23
7) 3x+83=-4
3x = -4 – 83 = -87
x = -87/3 = -29

8) 2x-6=8
2x = 8 + 6 = 14
x = 14/2 = 7
9) 2x-8=2
2x = 2 + 8 = 10
x = 10/2 = 5
10) 4x-16=32
4x = 32 + 16 = 48
x = 48/4 = 12
11) 7x+49=-21
7x = -21 – 49 = -70
x = -70/7 = -10
12) 9x-81=18
9x = 18 + 81 = 99
x = 99/9 = 11
13) 18x+36=36
18x = 36 – 36 = 0
x = 0
14) 29x-158=16
29x = 16 + 158 = 174
x = 174/29 = 6
15) 3x+9=-3
3x = -3 – 9 = -12
x = 12/3 = 4
16) 5x+15=25
5x = 25 – 15 = 10
x = 10/5 = 2
17) 2x+96=0
2x = -96
x = -96
18) 6x+126=0
6x = -126
x = -126/6 = -21
19) 7x+56=0
7x = -56
x = -56/7 = -8
20) 8x+96=16
8x = 16 – 96 = -80
8x = -80 + 96 = 16
x = 16/8 = 2
21) 32x+288=32
32x = 32 – 288 = -256
x = 256/32 = 8
22) -x-6=0
-x = 6
x = -6
23) -x+56=0
-x = -56
x = 56
24) -21x-42=0
-21x = 42
x = 42/-21 = -2
25) -11x+11=0
-11x = -11
x = -11/-11 = 1

2․Լուծել հավասարումները։

  1. x = 17 + 11 = 28
  2. x = 2 – 6 = -4
  3. x = -6 – 12 = -18
  4. x = 5 – 13 = -8
  5. x = -14/7 = -2
  6. x = 51/-17 = -3
  7. x = 7/6
  8. x = -13/2 = -6.5
  9. x = -2

3․Գտնել հավասարման արմատը․

  1. 5x = 4 – 1: x = 3/5
  2. 5x = 7 – 5 + 8 = 10: x = 10/5 = 2
  3. x + 1 = 3: x = 3 – 1 = 2
  4. 2x – 3 – x – 1 = 1: x – 4 = 1: x = 1 + 4 = 5

4․Գտնել անհայտը․

  1. 4x + 12 = 0: 4x = -12: x = -12/4 = -3
  2. 2x – 16 = 0: 2x = 16: x = 16/2 = 8
  3. 3x – 1 – 2x – 5 + x = 0
    2x – 6 = 0: 2x = 6: x = 6/2 = 3
  4. 1,52 – 2,8x – 1,72 + 5,2x = 0
    8x – 0,2 = 0: 8x = 0,2: x = 0,2/8 = 0.025
  5. 5x + 7 – 2x – 3 + 2x – x = 0
    4x + 4 = 0: 4x = -4: x = -4/4 = -1
  6. 7 – 0.2x – 21,28 + 1,6 = 0
  7. -0,2x – 12,68 = 0: 0.2x = 12,68: x = 12,68/0.2 = 63,4

5․Լուծել հավասարումները․

  1. x = 3/0 (լուծում չունի)
  2. x = -2/0 (լուծում չունի)
  3. x = 0/0 (սահմանված չէ)
  4. 0x = 0 (սահմանված չէ)
  5. 3x + 2x – 1 = 10
    5x = 10 + 1 = 11
    x = 11/5 = 2.2
  6. 5x – 3x + 1 = 3
    2x = 3 – 1 = 2
    x = 2/2 = 1
  7. 3x – 2 – x + 1 = 10
    2x = 10 + 1 = 11
    x = 11/2 = 5.5
  8. 7 – 2x + 3 = x – 2 + 4x
    -2x -x – 4x = -2 – 7 – 3
    -7x = -12
    x = -12/-7
  9. 12x + 4 = 12x – 6
    12x – 12x = -6 – 4 = -10
    0x = -10
    x = -10/0 (լուծում չունի)
  10. 5 – 3x – 15 = 7 – 2 – 3x
    -3x + 3x = 7 – 2 – 5 + 15
    0x = 15
    x = 15/0 (լուծում չունի)

6․Լուծել հավասարումները․

ա) 3x – 7 = x
3x – x = 7
2x = 7
x = 7/2 = 3.5

բ) 2x + 3 = 5x – 9
2x -5x = -9 – 3
-3x = -12
x = -12/-3 = 4

գ) x + 8 – 7x = 4 + 3x – 14
x – 7x – 3x = 4 – 14 – 8
-9x = -18
x = -18/-9 = 2

դ) 3x+125=7x+9   
3x – 7x = 9 – 125
-4x = -116
x = -116/-4 = 29

 ե)-x+26+4x=6+5x-37
-x + 4x – 5x = 6 – 37 – 26
-2x = -57
x = -57/-2 = 28.5

զ) -56x+268+2x=68+2x
-56x + 2x – 2x = 68 – 268
-56x = -200
x = -200/-56