| № | Задачи Тип А | Задачи Тип Б |
| 1 | $\vert{}x\vert{} = 5$ | $\vert{}x\vert{} = 8$ |
| 2 | $\vert{}x + 3\vert{} = 4$ | $\vert{}x – 6\vert{} = 9$ |
| 3 | $\vert{}2x\vert{} = 10$ | $\vert{}4x\vert{} = 18$ |
| 4 | $\vert{}x – 5\vert{} = 0$ | $\vert{}3x + 12\vert{} = 0$ |
| 5 | $\vert{}x + 4\vert{} = -2$ | $\vert{}2x – 7\vert{} = -6$ |
| 6 | $\vert{}2x – 1\vert{} = 7$ | $\vert{}3x + 2\vert{} = 11$ |
| 7 | $\vert{}5 – x\vert{} = 3$ | $\vert{}8 – 2x\vert{} = 10$ |
| 8 | $\vert{}3x + 4\vert{} = 5$ | $\vert{}5x – 3\vert{} = 12$ |
| 9 | $\left\Vert{}\frac{x}{2}\right\Vert{} = 3$ | $\left\Vert{}\frac{x}{4} – 1\right\Vert{} = 2$ |
| 10 | $\vert{}1 – 4x\vert{} = 9$ | $\vert{}3 – 5x\vert{} = 13$ |
| 11 | $\vert{}x\vert{} + 4 = 9$ | $\vert{}x\vert{} – 5 = 7$ |
| 12 | $3\vert{}x\vert{} = 15$ | $4\vert{}x\vert{} + 3 = 19$ |
| 13 | $\vert{}x + 2\vert{} + 3 = 8$ | $\vert{}x – 5\vert{} – 4 = 3$ |
| 14 | $2\vert{}x – 3\vert{} = 10$ | $3\vert{}2x + 1\vert{} = 21$ |
| 15 | $9 – \vert{}x + 1\vert{} = 4$ | $14 – \vert{}3x – 2\vert{} = 8$ |
| 16 | $3\vert{}x – 2\vert{} + 1 = 10$ | $5\vert{}2x + 3\vert{} – 4 = 11$ |
| 17 | $\frac{\Vert{}x – 3\Vert{}}{2} = 4$ | $\frac{\Vert{}3x + 1\Vert{}}{4} = 2$ |
| 18 | $\vert{}2x – 5\vert{} – 6 = -1$ | $\vert{}4x + 3\vert{} + 9 = 4$ |
| 19 | $7 – 2\vert{}x\vert{} = 1$ | $13 – 3\vert{}x – 1\vert{} = 4$ |
| 20 | $\vert{}4 – 3x\vert{} + 5 = 11$ | $2\vert{}5 – 2x\vert{} – 3 = 7$ |
| 21 | $2\vert{}x\vert{} + 3\vert{}x\vert{} = 20$ | $8\vert{}x\vert{} – 3\vert{}x\vert{} = 25$ |
| 22 | $\vert{}x – 1\vert{} + 2\vert{}x – 1\vert{} = 9$ | $5\vert{}2x + 1\vert{} – \vert{}2x + 1\vert{} = 12$ |
| 23 | $\vert{}x – 4\vert{} + \vert{}4 – x\vert{} = 10$ | $2\vert{}3x – 1\vert{} + \vert{}1 – 3x\vert{} = 12$ |
| 24 | $5 – 3\vert{}2x + 1\vert{} = -7$ | $3 – 4\vert{}5x – 2\vert{} = -13$ |
| 25 | $\frac{3\Vert{}x – 2\Vert{} – 1}{5} = 1$ | $\frac{7 – 2\Vert{}2x + 1\Vert{}}{3} = 1$ |
| 26 | $3\vert{}x – 5\vert{} – \vert{}5 – x\vert{} = 8$ | $6\vert{}2 – 3x\vert{} – 2\vert{}3x – 2\vert{} = 16$ |
| 27 | $\vert{}2x – 4\vert{} + \vert{}x – 2\vert{} = 9$ | $\vert{}3x + 6\vert{} – \vert{}x + 2\vert{} = 8$ |
| 28 | $\Vert{}x\Vert{} – 3\Vert{} = 2$ | $\Vert{}x\Vert{} – 6\Vert{} = 3$ |
| 29 | $\Vert{}x + 2\Vert{} – 4\Vert{} = 1$ | $\Vert{}x – 3\Vert{} – 5\Vert{} = 2$ |
| 30 | $\Vert{}2x – 1\Vert{} – 3\Vert{} = 4$ | $5 – \Vert{}x + 1\Vert{} – 2\Vert{} = 2$ |
Важни правила, използвани в трудните задачи:
Противоположни изрази в модул: $\vert{}a – b\vert{} = \vert{}b – a\vert{}$ (например $\vert{}x – 4\vert{} = \vert{}4 – x\vert{}$).
Изнасяне на множител извън модул: $\vert{}k \cdot A\vert{} = \vert{}k\vert{} \cdot \vert{}A\vert{}$ (например $\vert{}2x – 4\vert{} = \vert{}2(x – 2)\vert{} = 2\vert{}x – 2\vert{}$).
Вложени модули: Решават се „отвън-навътре“ — първо премахваме външния модул, получавайки две уравнения, и след това изолираме вътрешния.
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