All 100 targets have a solution.
\(1 = 37^{9 - 9 }\)
\(2 = \sqrt{97 - 93 }\)
\(3 = 9 - ( 9 - 7 ) \cdot 3 \)
\(4 = 97 - 93 \)
\(5 = 9 - ( 7 - \frac{ 9 }{ 3 } )\)
\(6 = \sqrt{37 - \frac{ 9 }{ 9 }}\)
\(7 = ( 9 - 9 ) \cdot 3 + 7 \)
\(8 = 9 \cdot 9 - 73 \)
\(9 = ( 3 + 7 - 9 ) \cdot 9 \)
\(10 = 37 - \sqrt{9} \cdot 9 \)
\(11 = 3 \cdot 9 - 7 - 9 \)
\(12 = \frac{ 93 - 9 }{ 7 }\)
\(13 = 7 - \frac{ 9 }{ 3 } + 9 \)
\(14 = 93 - 79 \)
\(15 = \frac{ 99 + 3! }{ 7 }\)
\(16 = 9 - \sqrt{7 - 3} + 9 \)
\(17 = \sqrt{73 - 9} + 9 \)
\(18 = \sqrt{37 \cdot 9 - 9 }\)
\(19 = 37 - 9 - 9 \)
\(20 = \sqrt{397 + \sqrt{9 }}\)
\(21 = 3 \cdot 7 - 9 + 9 \)
\(22 = 7 - 3 + 9 + 9 \)
\(23 = 39 - 7 - 9 \)
\(24 = ( 97 - 93 )!\)
\(25 = 37 - 9 - \sqrt{9 }\)
\(26 = 99 - 73 \)
\(27 = ( 7 - 3 ) \cdot 9 - 9 \)
\(28 = \sqrt{793 - 9 }\)
\(29 = 39 - 7 - \sqrt{9 }\)
\(30 = 93 - 7 \cdot 9 \)
\(31 = 37 - 9 + \sqrt{9 }\)
\(32 = \frac{ ( 7 + 9 ) \cdot 3! }{ \sqrt{9 } }\)
\(33 = ( 9 - 3 ) \cdot 7 - 9 \)
\(34 = 37 - \frac{ 9 }{ \sqrt{9 } }\)
\(35 = 39 - 7 + \sqrt{9 }\)
\(36 = 37 - \frac{ 9 }{ 9 }\)
\(37 = 37 - 9 + 9 \)
\(38 = \frac{ 9 }{ 9 } + 37 \)
\(39 = \sqrt{39^{9 - 7 }}\)
\(40 = 79 - 39 \)
\(41 = 39 - 7 + 9 \)
\(42 = ( 9 - \frac{ 9 }{ 3 } ) \cdot 7 \)
\(43 = 37 - \sqrt{9} + 9 \)
\(44 = 9 \cdot 9 - 37 \)
\(45 = ( 9 - ( 7 - 3 ) ) \cdot 9 \)
\(46 = \sqrt{9 \cdot 9} + 37 \)
\(47 = ( 9 - 3 ) \cdot 9 - 7 \)
\(48 = \frac{ ( 7 + 9 ) \cdot 9 }{ 3 }\)
\(49 = 37 + \sqrt{9} + 9 \)
\(50 = 3! \cdot 9 - 7 + \sqrt{9 }\)
\(51 = ( 9 - 3 ) \cdot 7 + 9 \)
\(52 = 79 - 3 \cdot 9 \)
\(53 = 3! \cdot 9 - 7 + \sqrt{9 }!\)
\(54 = ( 9 - 7 ) \cdot 3 \cdot 9 \)
\(55 = 37 + 9 + 9 \)
\(56 = \frac{ 7! }{ 93 - \sqrt{9 } }\)
\(57 = \frac{ 399 }{ 7 }\)
\(58 = 97 - 39 \)
\(59 = \frac{ \sqrt{9}!! }{ 9 } - 3 \cdot 7 \)
\(60 = 7 \cdot \sqrt{9} + 39 \)
\(61 = 73 - 9 - \sqrt{9 }\)
\(62 = 99 - 37 \)
\(63 = ( 7 - \sqrt{9} )! + 39 \)
\(64 = \sqrt{9} \cdot 9 + 37 \)
\(65 = ( 3 + 9 ) \cdot \sqrt{9}! - 7 \)
\(66 = \frac{ 9 }{ 3 } + 7 \cdot 9 \)
\(67 = 79 - 3 - 9 \)
\(68 = 9 \cdot 9 - 3! - 7 \)
\(69 = 7 \cdot 9 - 3 + 9 \)
\(70 = 97 - 3 \cdot 9 \)
\(71 = 9 \cdot 9 - 3 - 7 \)
\(72 = 73 - \frac{ 9 }{ 9 }\)
\(73 = 73 - 9 + 9 \)
\(74 = \frac{ 9 }{ 9 } + 73 \)
\(75 = 99 - ( 7 - 3 )!\)
\(76 = 79 - \frac{ 9 }{ 3 }\)
\(77 = 93 - 7 - 9 \)
\(78 = ( 9 - 7 ) \cdot 39 \)
\(79 = 799 - 3 !!\)
\(80 = \frac{ 3 }{ \sqrt{9} } + 79 \)
\(81 = 3^{9 - 7} \cdot 9 \)
\(82 = \frac{ 9 }{ 3 } + 79 \)
\(83 = 93 - 7 - \sqrt{9 }\)
\(84 = ( 37 - 9 ) \cdot \sqrt{9 }\)
\(85 = 79 - 3 + 9 \)
\(86 = 99 - 3! - 7 \)
\(87 = ( 3 + 9 ) \cdot 7 + \sqrt{9 }\)
\(88 = 3 \cdot \sqrt{9} + 79 \)
\(89 = 99 - 3 - 7 \)
\(90 = \sqrt{93 + 7} \cdot 9 \)
\(91 = 73 + 9 + 9 \)
\(92 = 93 - 7 + \sqrt{9 }!\)
\(93 = \sqrt{93^{9 - 7 }}\)
\(94 = 97 - \frac{ 9 }{ 3 }\)
\(95 = 93 - 7 + 9 \)
\(96 = ( 39 - 7 ) \cdot \sqrt{9 }\)
\(97 = 93 + 7 - \sqrt{9 }\)
\(98 = \frac{ 3 }{ \sqrt{9} } + 97 \)
\(99 = ( 7 - 3! ) \cdot 99 \)
\(100 = \frac{ 9 }{ 3 } + 97 \)