2 2 4 9

All 100 targets have a solution.

\(1 = 49^{2 - 2 }\)
\(2 = \frac{ 22 - 4 }{ 9 }\)
\(3 = \frac{ 24 }{ 2 } - 9 \)
\(4 = 22 - \sqrt{4} \cdot 9 \)
\(5 = 29 - 24 \)
\(6 = 24 - 2 \cdot 9 \)
\(7 = 9 - ( 4! - 22 )\)
\(8 = \sqrt{\frac{ 24^{2} }{ 9 }}\)
\(9 = 22 - 4 - 9 \)
\(10 = 22 - 4 \cdot \sqrt{9 }\)
\(11 = 4! - 22 + 9 \)
\(12 = \frac{ 42 }{ 2 } - 9 \)
\(13 = 42 - 29 \)
\(14 = 4 \cdot 9 - 22 \)
\(15 = \sqrt{229 - 4 }\)
\(16 = 22 - \sqrt{4 \cdot 9 }\)
\(17 = 22 + 4 - 9 \)
\(18 = ( 4! - 22 ) \cdot 9 \)
\(19 = 24 - 2 - \sqrt{9 }\)
\(20 = \frac{ 22 }{ \sqrt{4} } + 9 \)
\(21 = \frac{ 24 }{ 2 } + 9 \)
\(22 = ( 4 - \sqrt{9} ) \cdot 22 \)
\(23 = 29 - 2 - 4 \)
\(24 = 42 - 2 \cdot 9 \)
\(25 = \frac{ 92 }{ 4 } + 2 \)
\(26 = ( 22 - 9 ) \cdot \sqrt{4 }\)
\(27 = 49 - 22 \)
\(28 = \sqrt{4 \cdot 9} + 22 \)
\(29 = 22 + \sqrt{49 }\)
\(30 = ( 24 - 9 ) \cdot 2 \)
\(31 = 24 - 2 + 9 \)
\(32 = 2^{\sqrt{9}} + 24 \)
\(33 = 22 + \sqrt{4} + 9 \)
\(34 = 4 \cdot \sqrt{9} + 22 \)
\(35 = 22 + 4 + 9 \)
\(36 = \frac{ 24 }{ 2 } \cdot \sqrt{9 }\)
\(37 = 2 \cdot 4 + 29 \)
\(38 = ( 22 - \sqrt{9} ) \cdot \sqrt{4 }\)
\(39 = 24 \cdot 2 - 9 \)
\(40 = \sqrt{4} \cdot 9 + 22 \)
\(41 = \frac{ 4! }{ 2 } + 29 \)
\(42 = 2 \cdot 9 + 24 \)
\(43 = 42 - 2 + \sqrt{9 }\)
\(44 = \frac{ 92 - 4 }{ 2 }\)
\(45 = 2^{4} + 29 \)
\(46 = \frac{ 92 \cdot 2 }{ 4 }\)
\(47 = 42 + 2 + \sqrt{9 }\)
\(48 = 49 - \frac{ 2 }{ 2 }\)
\(49 = 42 - 2 + 9 \)
\(50 = 92 - 42 \)
\(51 = 24 \cdot 2 + \sqrt{9 }\)
\(52 = ( 22 - 9 ) \cdot 4 \)
\(53 = 24 + 29 \)
\(54 = 29 \cdot 2 - 4 \)
\(55 = 22 + 4! + 9 \)
\(56 = 29 \cdot 2 - \sqrt{4 }\)
\(57 = 24 \cdot 2 + 9 \)
\(58 = 4 \cdot 9 + 22 \)
\(59 = 9^{\sqrt{4}} - 22 \)
\(60 = 2 \cdot 9 + 42 \)
\(61 = ( 2 + 4! ) \cdot 2 + 9 \)
\(62 = 29 \cdot 2 + 4 \)
\(63 = \frac{ 42 }{ 2 } \cdot \sqrt{9 }\)
\(64 = \frac{ 24^{2} }{ 9 }\)
\(65 = 9^{2} - 2^{4 }\)
\(66 = ( 24 + 9 ) \cdot 2 \)
\(67 = 2^{2 + 4} + \sqrt{9 }\)
\(68 = 92 - 24 \)
\(69 = 9^{2} - \frac{ 4! }{ 2 }\)
\(70 = 22 \cdot \sqrt{9} + 4 \)
\(71 = 22 + 49 \)
\(72 = 94 - 22 \)
\(73 = \frac{ 292 }{ 4 }\)
\(74 = 24 \cdot \sqrt{9} + 2 \)
\(75 = 42 \cdot 2 - 9 \)
\(76 = 92 - 2^{4 }\)
\(77 = 2 \cdot 4! + 29 \)
\(78 = ( 22 + 4 ) \cdot \sqrt{9 }\)
\(79 = 22 \cdot 4 - 9 \)
\(80 = 92 - \frac{ 4! }{ 2 }\)
\(81 = 9^{4! - 22 }\)
\(82 = 29 \cdot 2 + 4 !\)
\(83 = 9^{2} - 2 + 4 \)
\(84 = 92 - 2 \cdot 4 \)
\(85 = 22 \cdot 4 - \sqrt{9 }\)
\(86 = 92 - 2 - 4 \)
\(87 = 42 \cdot 2 + \sqrt{9 }\)
\(88 = 92 - 2 - \sqrt{4 }\)
\(89 = 2 \cdot 4 + 9^{2 }\)
\(90 = 92 + 2 - 4 \)
\(91 = 22 \cdot 4 + \sqrt{9 }\)
\(92 = \frac{ 92 }{ 2 } \cdot \sqrt{4 }\)
\(93 = 42 \cdot 2 + 9 \)
\(94 = ( 49 - 2 ) \cdot 2 \)
\(95 = \frac{ 2 }{ 2 } + 94 \)
\(96 = 49 \cdot 2 - 2 \)
\(97 = 22 \cdot 4 + 9 \)
\(98 = 92 + 2 + 4 \)
\(99 = \frac{ 22 }{ \sqrt{4} } \cdot 9 \)
\(100 = 49 \cdot 2 + 2 \)