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