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