IM 8.5.1 Lesson: Inputs and Outputs

[size=150]Study the statements carefully.[/size][size=150][size=100][br][list][*][math]12\div3[/math] because [math]12=4\cdot3[/math][/*][*][math]6\div0[/math] because [math]6=x\cdot0[/math][/*][/list][br]What value can be used in place of [math]x[/math] to create true statements? Explain your reasoning.[/size][/size]
Try to figure out what's happening in the “black box.” Note: You must hit enter or return before you click GO.
[size=150][size=100]If you have a rule, you can apply it several times in a row and look for patterns. For example, if your rule was "add 1" and you started with the number 5, then by applying that rule over and over again you would get 6, then 7, then 8, etc., forming an obvious pattern.[/size][br][/size][size=150][size=100][br]Try this for the rules in this activity. That is, start with the number 5 and apply each of the rules a few times. Do you notice any patterns? [/size][/size]
[size=200][size=150][size=100]What if you start with a different starting number?[/size][/size][/size]
For each input-output rule, fill in the table with the outputs that go with a given input. Add two more input-output pairs to the table.
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[/img]
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7b6J/diWlhmULJOhHw7f4QhigL77Gc/m6LIaCCSg/qeZgK0xgBK1vXnPve5dB5KWDiQdO6HHwzzBCBCyAVVMIXJ7CDIoE3+OysIKNEgpUESfOAAbk4txM+mDdGKnusKlNQnUa0sFQI4hM0LuxddZx6MySFhmSakHeL3E4Y/VAlQGorS/bfTKyjZnDYPR7UFfOSRR6YDdSQ7Jhl5xyxgecICoPqb7GUGJYyVlO5sEWZI+5CQVLQac50s39ITYfzS+QhLFn7edE5piOg7M0n4srYdipW6R/i3fjsrJMu5RK/6TutwWFg2hVmyH9BSnvOc56RUR+qX1keou4AEdLHn+Nm6AiXz4IoR4OpwshRMAEq2ce0Zkwg92pS8gA4PA+ahSoDSUJTuv53eQMmmwUw4qdnVMQtSo/QjonhIeN4tYIcev/SlL9X6Cvonweq3sChQIvlLYEqSl72bptBUMGR55xwixcidD8qRdYIdZP4WiszR7nCm80beZe92lQSmzpcjPNxzsg6UC6blMCwQ4IOhgdUVmR6cT9KOrNpNaZGc3SFYAQMAU2c+A0w0IOHTGDhNDqjyA3n3f4AkFZH0PG01pdxvB3uBEBB2dijXKwzdwWIBCrQx7fMHybJezSmY6/JufnbbbbcUxs7kWC2AiYYnIawrK0QYCiwxF9oG+FkokNR1yCi9AKXqbC3v/3sDJelFHHK0+UhywmOdXidVyS4sUzRmRfoFVlK/2GSZES0vScfX80WBEkkdUwcQknMyLTUVDBQQYc4YajY/5eetC1o37YPGLcMAcJFOSM44DFMdNAQAhkmVC4bPH+W8E2GpaZ1pl3kQmNIyms4zCaxgqlIff1aTf0W/tK1PmLkgARF5fE5AWA6+cmh7uc9t/gYyTIAOHgNJUXJoxKSmbWD/6U9/OmW+kF+wLkgktwNYP/WpT6U+TcrDly0gogxf9KIXpXuYzId5Ofnkk9McVOcvt9HXe4BSX5Qdvt7eQMmilHJEHjHvGI7FnF+YAinORuIrYA5gh57FhDE8uZazxUWBUqYW5ujVpkx71vd5DXmvPl/9f7nN/J33SaXr57SV65zU90l9mvSduqv1lp/PbZc/a/o7P+t9Wqm2Wzcf0+ro6vsApa4oufh6egMlC5Rka7EAmjrJlGRLKmWukTBS2vumRJmLJ9Xy9mDRoLS8lIueLwsFApSWZaam97M3UNJ0G2mLmUCmZPm/RFAJdY3SLQUClLqlZ9Q2PgoEKI1vTubtUa+g1KZTQko5oIGSqwKaEmC2qWusz/Ct0Appj4soAUqLoHq0OSQFxgBKhHAWoSb/4pD0WOa2FgpKnMgcxQ49uhb6sY997JnupVlmwua+i8Byi+eJJ56YnN2Top/yb7p+D1DqmqJR39goMAZQErDynve8JwW0CIdvcluMjXZj688goESCyNqC6B9gxN8kGsrZCun9N99883Qr5qpJGQ533uY2t0kh8MKRhdraQOjQxrzZxYIJUOqCilHHmCkwBlD66Ec/mva6Cw633nrrwr1afOSOHwy118c8R237NggoASGRdkJonUcSSuqiMOcphIM7jHfSSSc1nh1pO5gxPucaaWexNtpoo3THjBD43XffPYXpossQJr0ApTGujOhTlxQYAyg5+uCYi73uZa+7c0tIfgBT+9keBJRMismSp4tW5OCsCXO1stspcx6tVZQmMii59IzfTJShS9AcMgQWAj36BqYApfYbIp5cTgqMDZTsc/udW8Lh5uc+97kpc81yUnfYXg8CSjQkp+xvfOMbp1fONuxQrVPtDtXK3TX0gbshSJ1ByViNc7/99kvALEebg8VMew5VMmf2VQKU+qJs1DsWCowJlJy53HfffVM0sSwXgEn2ESmY3va2tyVfU9+C6FjmZZ5+DAJKnPtOvUu54uUU+xvf+Mbi8MMPT/nAMGcmLhei/fa3v51nHKP9TQYlqViEvjNjui4750RzcJg/jcboZL7T/11rjAFKo10e0bGOKDAmUGIFkrlDdgyZNrbaaqtkJeJrwuekr+JPj0QB9ZM/CCjVNY3xAiAAJRT8nOc8Z9Ia5N+qO2hbV8cyfFYGJVd2Gzf7MgDyf/40wEST4hx1hbScYbPmQZtEiwClSdSJ71aBAmMCJX5yWWwI44DnAx/4QCEXoDyHTPe+pzXJ18h8v2rBXWtdTwsDpdxxE3fKKackkxZtgrYkAGBVShWUyuOSn+ytb33rBm3RnTcSW97znvdM+d983wVAjwWUbD5jkoONubJrjbBM2/h7OgVExApjlnPSfDhLt6xlrKCEnkx1+ic5teAue9xed9eWZL40KvQPk97/X30LByVag1RDsj1TezHQVTLhTQIlUwB0mPRcQyBpLfvzOc5xjnQVg6Sd7qRZqyQ1FlBy9YEkqq47kOewzASzBolJmn8Ms8tiw7tGXdLRPn2X5kr/CVuTkp92ObZ560LrF77whSkZssSqMoAvaxkzKGWaWtP2s6t78l7nWxYIwULy85//PO31sQhr+mGPUhLsmbYvz69l7Qco5RXT0/s0UNIshmnCZbiW/496L3oHSLuWwd1AFse8i3UsoCQ7t/G5suQBD3jAmcDW+PkZ3YvEjOl8V5fAhAG7y4i59ClPeUq676iPKaf13/SmNy122GGH4tRTT+2jic7qdI+ZwBtSu/dlzqayDKBk4jKj57ZwnQuzvSg9JnzJq33uwP0YCheCNSxykDmy7YsfTVb8ecvCQYlU6ZCZSaHWHnfccZ2a7zA75iIRgIt4iaxzNw/TJB9SU7FYSdm0CWe23NODJiJ5hI9LxcTfRrOctYwFlM4444x0sZ1jAa4uKY+FWY9zmKZoHcxzv9AkurDdAws0FQlavScJ/fWHhrMWzdT5O3cbmbPjjz9+Upd6/Y4QQzO0/puEGaDkYj5M0Tsz3rKWDEoAVjCBTDHORA6555nnRBaXfUpN9LTWaE00VXudr8nat25c7XP66aevaR02tTvL56wKrllxZ5Z78Nq+HPWh+c1begMlBLfIbfKmTWHDiMZzCSDN4Ja3vGVivF34URDExuSzwYTYchfxElmHEU4DpTyBaGUxkDRc62GRU/Excrd5klokrZ1Fi1gGUCIdum7beTZh8piJ+euqAD3aAGBC12rkE5ODtSJCko2/ac1O6486aHquC8cYF1WcDSQEifRsAtlVBKWsdbgsUgaVIfe8vc660QaUrAsWEho8awotnknPXieUic41d7TXedfiWtce/uzOLz5uJvdpr5vc5CbpDCpfWd0lkW370wsoISIzhlh9G+OYY44p3vnOdyZGKzRcOKTvqXki7xyqNRB+FQy5q0L95JdRP9AjiWy66aaDv4AScHnGM57RemjZ/oxR3+1ud0ugRgrke3O76jve8Y7kA2izYJcBlAgipF2X68kVCCTajK0tQQEc86h1WHfJHw0VIDEfou28bQM/Wh5G0+fZs0njRssXv/jFCeCf8IQnNFoeVhGUZFKw11kYFrXXaTuvfe1rk5Y6aZ7yd9amuWAlIsw4IiN8nMbhVm6ZIliUuhLWc7vT3rWHH/N5S5w96WVv7fPfS10JZVIuzVt6AyWbn9TLZuoAGVs+TYgUTOLPB2hJBRKyit3naO2S8BgbhkzL0A7mLjRz6BfTiH5I0jhroeZjok996lOLLbbYIklipDF/s/HSKKadbRoSlDBzkjlNhJas/zmqaJL5bha6aEO9uQ0SXW5jlnrys+qjWWy33XbFVa5ylTWBUq5zlnd9t1bRi8kN/eYFRe2qR3obkvc8oGQPWlPqqc5h23Gpw7z4PS24S623rg/ZfAeQWCX4LpmIh97r6O72X5aiWawZxoRmstsAIiZImW8AKw2E5mH/oOVa1kYd7br4jA+Y/9sh4YMPPnhNibV7ASWDlIgQ8nPm8amwSwInLx2//OUvnwjP4U2yXOtGrCNsGZS23HLL5Dyve27sn1mEolk4HW029GODtmg51F1/DdCbkrwOAUr6iKHajLQEZzDY2GVN5s8h6ZGm9txzzyQkVH1KNiSQYa5QR9168Ix6PMM0pg2bVYCETaEdpk0vpmOMKjND7z/72c+Sf5E2oy59tkZoSaLPAFI2PZTr8nyuZ9paMQZrn+SLHuWiDhFWvsOs/Z82pS1+VfRiLnEdPD+ouvSzTTEW9emrdcJ0JaCEWeirX/3qBrpo25gVf5d9SiRhkrFzcvpj/+oTWqMp2k9itPpg3oyRP0eAjt/T9glk5qMspLQZV9tnMigxf/HRWENtade2jaGeMz+0dWeZACwLCc1Jzkxnnuz1tutxiD4TqkTTEoJk7WHtsBbmLb2BUu6QDtucFrrNZsNQ7SzyvDnys12/qz9rSssMSmW6YAw2uo0ndJwNHTg96lGPSlpTHdPoG5Qyc8fELEqMQa6/nO+PAMKPQ3veY489akEJM2TOpQUSYD7xiU8kBpfHjsFgdjRGZg0b1djzS1s5Eaa/9YFGnm3ymJToJlrzve51rwQG6rT5ATsTa/n3uf/e73SnOyWQyH2Z9M7Ba7wOSr7+9a8/06PAiv+UkAYEgYBMHhiPucxt6jtLAnrwObTZ4OadmeW+971vsgqgi/HkOvM72hEalDIoEQ4lSn7MYx6TUn+V6Ur7uMY1rpECUaoBIuUBAhz+uF122WVDVJl21YW+6Gzv97HvVwmUMk2td+vEnFkf5tPaov3in2uxDuQ21vquDwQhJjtWsQMOOCAJBGupt3dQ0jkdt2lI8iQp7/7fZrOtZXCrCEpoSYWn5ufIGEzDpmfSO/roo5NEWqZbn6BkDgkdfHfyGOZoQXn+2Jj5DDE0dnLmXKbauui7SaBkzMAFA7fwr3jFKxb3uMc9UuSSw9YHHnhgOushKwhzhw2Cyb70pS9N2oY+1oGSNShCjgOXeZnPkUTKSe4WZCDmhc42XpvSBpTQAl20IaIJkLMo7L333smnQOIEur476qijEhhPa9ueop2o49a3vnUSVNShLk7zPBaATHNSyqDEdEm7wvScmxEcxMG96667Jj8mutLQMR2CUbVYA294wxvSXHtWu9aAeeInUS/tHlgTBKpaZLW+Wf+/iqBEaLLXWRisffQnsAikEMAhEII2bX8sqhBETj755GRh4EuzBvD4tZRBQGktHVzLb1cRlDI9TDymQrrF4DBrDBXD3m233ZLZzILBkPsEJX4D0i9pzmbBgJh+aAFMUExTIgkFvAjSwPhnBSUMjCmIBsUkJYyW5k2LAGboQAsHeLRGp+QxaN9lE04dKKENU4g+8s/xOzLfATPmwOzYZfbD9NuUNqBkntAA8xcExLSlD+ilTeYPIAFkAYXv8zia+oAxWe/qYTLF/M2H4A1MLY8FuJszpQxKNFQaHE2UtkPrQjP1oW0OSALerB1olwtTkuAl/mLCEc1SIBMaas87LZnmqk/AyvPTxpTrb/O+iqBk3OiMvubKHiBcWKeEP8DvqIiUZczB5TlpQ7O1PpP3DwHGvBME+bjX2o8ApbXOzAJ/b/I5pDEdyW1J3Da9F62EhO875x5I3UyYGEpXRfs2i41BCqZhYD6ku3LBMGl2wNJmmhWU+HyY/wAaJg2QygxNPzBkYAS0MEXtlUsdKJW/pzE5X7TWQIc2oESDoS1xCAPOqqRLE3G+DcDqk0gu89y2CIyhNaNz20AH8+LCTQBSpq02MUX9YVIkrVtrZcYD2AUqYZbXve510zEPwJef8W5N8P3RmPiV+SBI+V2VVQWlMn2scQKDfW2v0UizZUDksjXvmaGKNSnruTVqTvkOree1lgCltVJwJL+3GEinzDNljYRZiGRq8XYNSpiVFFGbbbZZMivsv//+yclfRxJaGyc+bWdWUAJCwuCBEp8JW3u1MMU973nPS5uDRJ79Jvm5MYGScdDqmk6908oclGYOcZyBCY8k3LbMA0o0RAKFeaortDXRVeZO8EQGHM9aA/xFtPWHPexhG0ym5XoAnXlzToxWJirOnHRV1gMooRW6EwJoTYQ8JnMmPaDgCA6Q4LusChZd0TnXox8EUtFNT7sAACAASURBVGf/aPQ0OGvWPlxrWRMoiXCi3g/1Ygoom2SmDZ7UsGqBDpPGTOK20UWkkaRI2vxNnM2cpF2DEmkYI6OFaYs0XdWSyv0VOaQPs4ISU5JoPcyciYA5rVpshiOOOCJpIHxKTE7lMiZQoskyhzUFDRgLRzZTGUZ/2GGHJVNleTyT/p4HlGigtOoy2JTbsNcFaQAUvqbyc+5Cc76LpuR8FH6AMZZf6K8O/i4CkmCIqjZbbm/Wv9cLKGW6WCNAgdlZ+Lg9ZX8wwcovaf30CUwEUlYXa5TmL/iqTljM/Z3lfU2gxAnK9r3tttsO8rIp+BOyTXzaQNcbKGV6kLQ5szFwtt6+QIn0/prXvCaZ5GhAObQ/96P67iwQp/usoASEbD6bDthWsz0AY2BovDQL5jvPlMuYQEkfSbV8YnUFM+Ff4nMaCpRo08CsqaAfIKmCEtpjSDQtJkBaqudo6HUv5j+S9W1ve9tkimpqb9bP1xsoZfoQDmiqwsWtFcInAZHGWjah5ue7egdA/MT4C1AkYLT1u07rw5pAibmIujjUiwPY4KF0m7KeQQmDsTAt0L5ACVMV/UYbY2qSMmrS3Ag+wKhmBSVBHRJVcuxifCKR1EVatCmd9RGJxF8BHEnrVY1tTKAkBJz/pkm4WgQoMafRZJpKEygx9/ExGZN1JnSZ5Nz0yqHqaz31X+3negYle4H2StgBSjRxh3j7AiV7jgCa83PyJ9qDZe25Oj+z/H9NoGTQQ7+gcdvBrzdQIrVS6U888cS0YDD/fJapD/MdUyopGQNqA0pszvOAUgYe49IOBshMQUsX7cc/w9kKtGQAZzZCi3IZEygJcnCuzPqsK4sApWkJWZtAyX6Uj5FPw0tIMP+TuZ70Yl6KQIe62W/3mTXCgsDfKKgFIAk2EqgjKKgaDNSu1nZPmTeJh2m99iFNrckX2a7GMz+1JlA6c1Xj+996AiULhTbBhGWh0Cio80xZnNB9BDpo0xkFKjyGRJOdtDhFDs1jvrOyaGAYGYkeU2cyYDYGTPwzzipx/orUq9PWApTOuj8JMOWMDvNoSsBfAIujCEx41kAd/c/aerefrBdNKQtofLmyuxDECIUENf+3B5h+WRH6KkLQ7WO+ZEEv+EBVCFxL2wFKa6Hegn9rgQIB/hOn/+UWBETUd9oDtZrU+tjHPraXkHAhodR4IMHX4HxPU5SYvkosySc0q/kOmS18hy79HgiRyPmonHcxfjbuSRuxDSgx/Q0REt63piSsG51Iz21DwufVlMwNICKtY1LOOTVpgH1ul/UASva6/Sx4y/EPe46flRlNMAzNtMkk3BXt9YGWZJ84mwgEuwQk/QxQ6mq2Bq6H2UT0log2qXswBNoRv4rDbPx82abc1+FZIAAQACBpjRYj8qpukfLxyDZBo5oHlEh/xmWMwG/W8xDTQOnVr351kjqZBwEeEJ2ntDmn1DcoiVYUTQeUaJBN2RO60JTQiJ9XcAONWXSd9rtyeredg1UGJfvMXi/nwwNGwsHtfVFw9sO8a7YtjT3HWsFkjt/QzOyrrkuAUtcU7bk+DJ8kKpCBVAqEBBowzwnPZN+vLpS+QMlQaSgOgcpSQHpyCJXTU3CCzcSUA5DksqPyO1MxDyhhdA4E24xSGslQ4LyG9D/5pV0albarwDgNlJhDgCsziPHos757GUe1vqZpHgMoYWAiVdGZVklQyOPwzh+hdAVKaC5HGx8DLZ1fD/OyTsvt0qw9i4H6u0smuoqgZM0RLEXS8kHS5O0fGpKjFdky0XZtNq3Ztp9rR/Qz9wCzob1ub3RdApS6pmjP9WGWwrC32mqrFFormgkg5Yg0TKBa+gQlEjGnKoZuwwAmTF3qIczQ/VkYNckdw3eWZR5QAn4cuNowXpkDpLXJxxGEGJPWmSyZCdGpXKaBkps+HQAUruzwsaAKzEBkE7NIk1my3Ia/xwBKGJnIS6ZcNBe6axzmickTAwdMXYGScTtDKOIL/TjcSfDWKS0KQKEhUw/AcoWMVFSEh67KKoISIQvjt9Zzwl7AL2muuRwKjMwRAYLwR7AkeAhYMrd9lIWBEqbh2m9nMTitXYDXtS1afRgyJkiyYGtf1kIiEXItowGJyca3ODBmpjpMG0DUSZ99gpL22JldzAd49EkYOjMdx7eoOKq+OWZKEroKmKpXV5Cem7KE5w1hvTCvYXzMhWhQfjHtaZsUZ+OKwstlGiiR4EmeQFX90hWhs/7bgJh6mzIGUMKsBL0wpdEsSdbGYTyEB2Yga6VLUFIfbRYYop02vWs3rwMACSgl6JVyyG+6KqsESrRI+QutO/uIIGYeXWXhGE7e613Rrk09+A+hgh+J+VnUX5NZuE19k55ZCCiR0thBZUnGACxUTKQq3U7qeJvvyqBEwnA2BINexMvZmXkkC9IkqYgjM183nDUFUqdT+MY5SWrqE5TMA9AgnYuuY1pjcyYEMLcBTaYHiWMxLdc5iNhxzUVZ9TcGQROiB+Wwo2X53lohTNCAOO8dzvQ3MwIflRcgQF+alO+BIBOD/GrZVAX0nHQnzQMf/S0X9MPYMEvAyZGsPRopxy4G3qa4e8glbQBYqGy5yGkn64Tx0yKamLK+OAMmZ6H+0irQZ5YCZGmr9pUzQcDI+pGuiVaILvkaFOMlkTcd5tUu+smvZn6cTasTfowH+LsSHjjRYtFREIS2RYFKRSUDhCjJSWt2lrF6NoMSUzaTtmzmzNuL2uvoUF7fbcaDHszy1o61hy8yixPcmUfxD0DQJd3a9MszxmKNsMg8+clPTkJaX/1YCChhsgZHgsrSUx+gROKggXH4kqy9Q/lFvDAFWQnaFkwDIySdSP8PVElM+doGzNM5hTrmUG2jb1DK7ekzKU7wA6EDg8YAMaDsY8LcBC0wBZT77rdMZMKSfU/78r3n+MmY1AAdCVJ9mC4hJr9sVvTwPSZMG8Nss6DDrIlxqZ8vqo5haA9YAUT9F0QCaM1DW1OTMeg/La0qSeqDPjJ1GVfTptYPz2pXf4EH+sxa9Jl/icmOSVM+QHtPv3Ib+kFY8N4EktrVH8/ojzluKupVj/Ez3dLY0FHaJ9qmMXXtT9KXDEoO8BJ0CSZ4yyL2ugzts1yHbi1aF0LrBfPQLoERjV+Wd5d4MuXNswaa5mnWz61VfWSKtaZmFZJmaW9QULJgMQnS7eabb55MOvwAfWlKNhKmTiNjPiJxDP2ysJiVsm2/zeRgbEI/DznkkBS8wESFRsxj2ck/iYFU2xgKlKrtdvF/AMeMAWRoSNPAAeDQRNCbk99mtu6irDYFMijxsdpvgIEvZsj9bq8DEyZsAug0P6R1SeAQBEQ7yomNASoLA42ewNAkvKzqjA4GSiYAQ3HwitZgsRx00EHJ1NEXKJk0EjWHNSmR9Dv0i9rNTzENlNAH0JBGmD9I+xZ3Dv0UfskcRMqctSwzKMmkzQxEU2SyI2g0FTSk5bi0jy1exvSqttL02/h8uSmQQYmWROAV1k9TH3K/H3nkkRvuFZsGSnghjZ9JLPv+CJ9MjwJTus6SsEyzOxgoUVGp7tKtZwYNKJjt+gSlRU+GMdLS8pjr+kMSAjbCnAUAMDOyjZO6aEdMARYxpjtPWWZQ4jNj0hCswhzH7wGYmDLQzbuXz2jhrq8QDOEMBx/SvDSbh87xm8VRIIMSE7fDpHw6Q5u7mEj5USdpStajtUo4JzzZ67Q7e53/0tEEgvR6LoOBErMK34ADdqJI+Bq8+EvWMyhhrHwMIs/yPUgASZSLy7xI/tm/Mu9CXWZQygEKIrlsdpnpSZckYL4SEYmiyQQ1SKnE9CECj2aJrlHWBwWWAZSAJMFcoID9zcwIRGl2AmCMwV5fb+a66godBJQgPynCnSuiokRgkWqdXSAtrFdQIvVjqDQB5qYcjLHnnnsmBzGHcp1DvjqJ0/6/zKBk/Jzrhx56aNrI1ooAGZvaWmKHZ8tHP8AlaknUlYi9Wfxu02gY34+bAmMGJdoRoVyeSL4iwRfASECD9E4EK9+vdzDKK6x3UKKqso86MIdxCGPOkUfrEZQsUKY4Uj7HPf+aMx20ALnrSPxnnHFGp9EtywxKFqo1xP4OwNnqRSTRmIC5IAi+I2ZgATT8CBhUF2CeN0m8j58CYwUlPk2Rh0LkZVyhHbEWCb5yGSeTPe0oyv8o0DsoMaEIy2bnl/pESGFmGOsNlITBk/qdUWHCZE+2QB0mdP5D+KxQy679IMsOSnm5oouQbSYQmpDIPOc60JSgA7y6pl1uO97HTYExgRIhU5QsYdz5OdlGaPEAianOuT0RdyLvYr2edV31CkqkBKY62oCXMyQZkHRlPYESs9POO++cQj8FPVDfvTvsyUdCfe+rrAoo9UWfqHf5KTAmUAI+Mq/Y77JoiKC116XoYcLjJx06CGOZZrg3UGIfdfCQRsD+z2xHki2X9QRK+VZOOaxy6KcrJYSr971AA5TKqy7+XkUKjAmUXKgpWElUHUByZorZmUYfZToFegMlhxbZUYXm7rPPPsm8Uu3OegIlCxUwMdeJEhM9JthjCOdmgFJ15cX/V40CYwMl+53GdO973zuZ6hz5GGKvr8K8dg5KbKSinpxGFuLMnirvWZ02sB5ASdCC8wfASJoch2mlYFlrmPcsiy9AaRZqxbPLSIExgJJcgw7CsoTc9KY3TQd4pZzqI63SMs5R2z53Dkp8RiKlXFPtQJgTymypoqSqr2222SaF9wqF5uynQQiHlmBzVU7iG4fcXyJtLFr25KGdmwFK/9sOpFVCgawZ8gd2FXb/vxbG8RchUDCINFsSoDp+sMqS+hhAiXXI4Vc+Yq6LeXMWjmMFLa4XnYMSv5F8TbICC3OW0brpxd6a7wkBTEDM4UdZlkVTrUqhOXotiikEKP1vJVmfTKfSOFmjrlMXor9qxXpzm67sBoJphB6Xg4xWbbxjACXCpvU1pBVk1ebReDoHJRIa6VNgg7T7rshuetGcmPhEoknF47yJsOlXvepVyd+yigRfxJjmBSVMzCZbFJjOQ6tpfcasXQUh27owXfdAzZNPcJ6+DfkbjJGp2EFNh42Zys3lqpYxgNKq0nbocXUOSrMMYD34lGahR1/PzgNKmLszZa4fYIZYhgI8aQTWFTNpXQlQqqPK8n8WoLT8c5hHEKCUKbHC7/OAEvs4rVWGbkllx16YTvjvnA/Zaaedkomurs8BSnVUWf7PApSWfw7zCAKUMiVW+H0eUJKdWwQRn8QygFLWkvSZv4jfqK4EKNVRZfk/C1Ba/jnMIwhQypRY4fdZQQmD5yTn7xMMMAsoYfqCVKSXcn0A7WUenxTzoSwX6hEt58K0SfV4/nWve106FyeH4KygpG59lcKI2VIEaVuHtd9KD6WffisMmMlTn7oqfLUSG6OHNkTTTap/Vp+SumjH+u6Qp3u9zOUskaJ8VurQv5z6aVoQSQ4O0J7foLvze7O0i8YBSl2ttMXXs1BQwnSEUHLIYnw2QZTuKdAWlDAQYcQu0xOu72yVJLq777578chHPnLDS5gxxpELBgI03ve+96XrNhyWlizVza/uh1JfU+JJvzvuuONSrjCJKzFzSVVd27H33ntvqEewjPuR+IvKgQn+lv/OPUo0JJGesi+7t6vc53e9610JdKqakrbUqQ850aujCRIIiwI96aSTEtjUnbNDL21bv/vtt19KEuu3xi1o5/GPf3wCd0y67veZfuV3YOJiQ8l6HSMA8Pp31FFHJVq6qVkb++67b6KZxL519+9MAyVzBkj1/8QTTyxkFzFv6jd3svcfcMABxdve9rbUh6b+A2TXYwseUYeraPRPHf5Wh1Rj1T6qD5C8+c1vTpfaOQriN9aaQ/euBgdSbcEpQKm8ipb774WC0nKTbnl63xaUAIQ7r2584xun60SkSnEQUJSaCK78AhgkYoWETbg49thjk7kPiLkllpYlCa+7jZxV4+upu02TdoGJeXb//fdPZzyYDEXHuZJCPdqVO9CV6J6VzBJDVWgMMqu7ssIRhNxnRwtyf70DNP3MoCTTiIsDnYkDeK5V8ZlbgrVpHABOAs2nPe1pSfpPDf73H1oB8ACc+qo9v3WVhv/rq4S7W2yxRXHCCSe0jnwzB8AI3YRyA0VtSFWj3kxXY9XG7W9/+9qL4aaBEjD55je/mRIBSwOmLmBuDOguV5sjGq4Uf8UrXlGbm1EdQO2QQw5J4zRedNNH9fjbC8CXj3gAJG1L1Iw++TqSPNfWmz4BOcdLJmmEeU4ClDIllv89QGn553DqCNqCEu3n3e9+d9JsBAtIk4Kh0xhI6vnlELBs3aRYoIBxAiKMTPYKzMbBVKH9NAbMDsMiDdPEytJvBiUAca1rXSuBQ86kjBmSpAGHqyowTufaaF+0D/XQrNzVBUwFZegzcKn2GZAZXxmUMN3rXe96iYE67C2zM6neVdr+BnS0RczymGOOOZMmz9zkJlwMFKDSstwQ7FAuEKLpyGbi5SBlG8ZqIjMoaVc4t0TGrjygdcg4jR40G5oMsJeR2u3EzJVlbaYNKJkL8wzwAMfhhx+exi5pqKtAAIPrxd2mSoutjsHcEySsEaBMuwb+NGmmVOtujz32SJpkFiKMEUC56A7drBm3Bxib33kneFgzaCujtiMmAHBSCVCaRJ3l+i5Aabnma67etgWlcuW0IUAyyaeEwdMWZONwENq5NBJwZiBAg0bhVl3ZkjEvjM/vcsmg5PA0QJGmxZUU5TM16uFrYA7zHClcxvnyM/5+9KMfnfp8i1vcYqpPSV/kIgRMT3rSk5L/qwyW+kez45/C+JkDmalyAQLO1tFemCerDNtzgAGzLI83/77pPYOSfukf4AFCPi8XpkNCAlrQquRY80wewzRQUhegEPJvzsq09B2hAwACRgID82i5D9oBPIDL94QA/qhqAZRl2vgd8KaZAiRzSrDI/fZ7dDYnxmUNMrGWzcXVNvw/QKmOKsv5WYDScs7bTL3uC5RIsJgVEx/thkZQZcCYTQYeZhoHpgFMLvk7YEMjEWBRlvjzc3xHbuikkdGYqqmo5gElpj43gTJB1bWJafOJYIxMmsAyF9oUDcOLplhXjB1Alxlu3XPlz6qgRFMQ3FCtw/+ZI4Xtoytt6vTTT98gELQBJXUYd93YfQYcaElA+aCDDkrBD/rqd0CLDwhw7LDDDmnuszBSHk/1b74l/jBzeLvb3S5lya+OTduf+9znkgZojsyBAJRJJUBpEnWW67sApeWar7l62xcoSTZLgwBKD33oQ5O0WmUwOkyqJxFnzYsGkksGJf4bWhKpva4AHcESJGxMmImwfEB2HlAChMx0ZX9HuW1joY3Qqpj5yhF9AgyEn9MSmNJcQVI39nJ9bf7OoJRTcwHpsoZSroMG4sJI18IzdzF9Za2kDSiV66r7G/Dk4BHBB1mY0AZfD3+TOaVVE1DalJyCjAbmOgdt1BVal4svXf+gD+Z+UglQmkSd5fouQGm55muu3vYFSjQjzBpzF7n18pe/PJl0mHXKr+ys5yfByPitcsmgBGgAXBNzIz1jVPw8njUmPo1c5gElYMp/Uo0My3V6F8DB96HfEuvmAhABI/MZ3weflD7xtwG5DA75+bbvGZTQip+GmbLsj6nWI00SE6NnaRTooLQFJUBKaDAPzqbxvbkBmSbIJ0gTlAaM0JFByfOeY5KlufL9aW9a0Rb/HxAF5rRAprzyWsl/u2XAJXlMmMzDIhAnaWIBStOovzzfBygtz1zN3dM+QAlICAHHsEmzoqz4FzCQuheJWpACJkf6zyWDEsZ+n/vcp1Er0J5zT8xJXYBSDhI45ZRTGqV1fRQJB3iqoIRBChQATDQm5igvgR58WwImvv3tb5/FnJnH3fSeQYnJjIYG5IBAU2Gy23HHHVPkoSi9tqCEniIozeFhhx2WaK8ekY+An79MkAXzHBNaGZSYUvmbzJmgEkLGJMDIfQdKAIwfjiDDp1S3VnyWwR4oiQZkup0E9AFKmcrL/x6gtPxzOHUEfYAS35EzLBgnpsWnRGJnapn02muvvZL0nzudQYk5B+Nr0gq6BiWMEVOdlpC1CZT0H5OlrTlj9/CHPzwBJnoI1wbQD3zgAxMzZaLybJtSBiV9lMW86qcr10O7EUFHs3LGJz87SVMCIJj40UcfnQCI1gIEhGcLEuFnc17JXBE2ROCVQckcCb6gnRFK3JfWpqCBoBcCAfMkAWXSWvEdk65x8ecFKLWh8vI/E6C0/HM4dQR9gBIGwZyFKYkUY4aREWHWssygVB4retCMhI4LTQd4gMLFjtOk/HI9GZT8FlCjcfmwcPlZf/PPua8MEAq/b6MpAUlmSUBk7gQcMGPS/MoACnyAAgApg1JVU3rHO97RWlMCZtYMbcg9T12V0JS6ouTi6wlQWvwc9N6DPkBJpzn7mXmEg2sjH6idZUCrAkrGTBOghQAW0YHOXQEXWofP2mhLZVCiwch40hQMoE1aishAIPiEJzyhFSgJJtEnIfi0W1F2wKzcP3/zmzkDBbjKoMScyJ8ouIIJjv+nScOtrgX+Kj4lGpgsGjTgLkqAUhdUHEcdAUrjmIdeezEPKDncyDwz6ZwSyVqAA/MOkw9NoczY2gyqS1A68MADU5/bnFPqwnzXND7AJITZAVq+NL4Zh30nmZ9yXRmUAAG6iqhrAnumOpoZc5iXIIHM5CeZ73JwBNATVaee6rwBKaHyNBr+nzIoGYcUQAQSGpoDtEChTUEHmSr4qmT5aPu7aXUHKE2j0PJ8H6C0PHM1d0/nASXnj0jCHPxNZhbMkrRLGyCp0w6aGGhT57sCJYxSVgcSuIhAudiqjFYfMOBZLvlr8ikBnrr68zhpGUcccUQCScwbE58VlDj5RaDxG2WwyfV752eRDQEwAGJCgn4pk0BJ8ISADMAgOwbNpzwWf4sgfM5znpOeEchSBiXf04yEwhNcBEdUDzOX+1n+m9bnbBXTJE0SkGY/WPm5Wf8OUJqVYuN9PkBpvHPTWc/mASXRY8wszDNS6JBwhU5jVt5J0pjJl7/85eRoZwriP3Gux2ee42NyWl/UnCgxpqiPfexjG0xMBtgVKGHawJO/Qp9FwDFT0TwApX7kPncBSuiBofL5OEMjlN14tSd03Vj5ajBtKZIERGTAmDSxVU0JyMqWwC8lJDuPhy8Jcyc4CM1203PZHzQJlNBFn/iKBDcI01Y3GhkHEASowL0u+k7/ARM60gJFHTpIKwqPhqiP6jK36tL3nJHB70T8CWJAG++iMfXJPFlb3h0YZh4Wlu7vSRGI+hOgNGlVLdd3AUrLNV9z9XYeUCKFS/ZJCmcacpCRJiI5qQzOQEfBbBwqxVyYg2RlkLWB+e/II49MaYUwzxxuLPwYw8ylK1DC7ABFDo8GTrQAzNX4OdgBQ1eakog7AQaYuii1gw8+OI2XdgHEfQ5QvAufBohtSgYl2mc+bEyjYB5lnszjkUUBGABgOQUx/3KZBErAkx9IhCAzIU2HqVHfjQPAACR5+wCrvpQ1pdyOvjoAq380ZaHkTHn66HO/8XtRiPmMk99qX2g4IcYYBVxIk+QgszVmviTJlUtPglvmxgxque3qe4BSlSLL+/8ApeWdu9Y9nweUSKYkYWCD8ZGYARTp1jUNpNdcMHoakKSezpRgUM4Sed7v/IZEzyEv6qvMoDETaWeYCWV9aIo0owlhbJgxPwfmRRovF+YxUWSYbLnPGJ+QbQCobZqB807C2B0CLYNkuT5/iyrkVwMKzF65yBnHdEZLMd5MnzxenwsikJy1rMHk3ze9Z1BCO8wamPK9YM5AKLeDpoAX8xY2XjXvmT+MX/ohwCj7RjYfAnDzJ7+cNnL/c9/VK5EqDUf7zI/mRhLaaqHV8GsBGAdp0TrPu7+dY3J+yjyXC42IZgXYhdEbTx6btaNPaAgcja9pXeQ6A5QyJZb/PUBp+edw6gjmASWVYnTSwhx//PGJqdMAHBYFQHXRVpgvxu0sCvOZ5znSSc2yZzPjVZmnemgdtAkmqcw4q4PCSD3LdyEDOU2uzhfBRMYUxBckYwAtjQQucazf+x64OWMlK7X8cdU+ldsWvAGcMdBytgn9EbXmcxohDQFY5/Ey3/nec7OUKigxe9IsmLJc0QFcjYnGSYPA3OuKMaEDuqI9AK+aDzF69dJsmAj1XZZvB4o9r+9Ax/jNTRMwaIvJksmXJm3eaUmHHnpoaptJr44OPtMOc55EvfqAhtYOnybatjV7BijVrYLl/CxAaTnnbaZezwtKGsFwMCOM0Qvw0DaamIzvMH/mlvwb/ye51zF/9fiN75sAKQ/Ws4AoP1vXB8+qR59zH6p91g91eFUZdW4rv3tWm17VZ/3f59Xxaq9N3bmN8nsdKKFPpmumqTbq+lSua9o4M+31v6leY5xGb23mtvSrXJff+q6plGmYf2fe8pqp0rypngClJsos3+cBSss3ZzP3eC2gNHNj8YM1UaAOlKaB9ZoaXJEfByityEQWRRGgtDpz2TiSAKVG0ozuiwCl+aYkQGk+uo3xVwFKY5yVjvsUoNQxQXusLkBpPuIGKM1HtzH+KkBpjLPScZ8ClDomaI/VBSjNR9wApfnoNsZfBSiNcVY67lOAUscE7bE60XTOgeVsGs4fhU9pOsEDlKbTaFmeCFBalplaQz8DlNZAvIF/KqLOmSLnuZwREpLdNgJt4K6OqrkApVFNx5o6E6C0JvItx48DlJZjnvQyh2nTmIRGTwqnXp5R9d/TAKX+aTxUCwFKQ1F6ge0EKC2Q+NH0IBQIUBqEzIM0EqA0CJkX20iA0mLpH633T4EApf5pPFQLAUpDUXqB7QQoLZD40fQgFAhQGoTMgzQSoDQImRfbSIDSYukfrfdPgQCl/mk8VAsBSkNReoHtBCgtkPjR9CAUCFAahMyDNBKgNAiZF9tIgNJi6R+t90+BAKX+aTxUCwFKQ1F6ge0EKC2Q+NH0IBQIUBqEzIM0EqA0CJkX20gGJTeEOpDpJmA29wAAAiZJREFUcGa8ggartAZOO+20Ypdddik23njjdMlj3d1di92F0XpbCgQotaXUEj+XQcntnm6S3W233eIVNFipNbDzzjun690DlJaYUf236wFKyz+HU0dw1FFHpWuvN91002KTTTaJV9BgJdeA9U3w2mmnndL165ENYyprGOUDAUqjnJZuO/WpT30qXU+9/fbbF9ttt128ggYruwZ23XXX4oQTTkg3JHe7i6K2oSgQoDQUpaOdoEBQICgQFJhKgQClqSSKB4ICQYGgQFBgKAoEKA1F6WgnKBAUCAoEBaZSIEBpKonigaBAUCAoEBQYigIBSkNROtoJCgQFggJBgakUCFCaSqJ4ICgQFAgKBAWGokCA0lCUjnaCAkGBoEBQYCoFApSmkigeCAoEBYICQYGhKBCgNBSlo52gQFAgKBAUmEqBAKWpJIoHggJBgaBAUGAoCgQoDUXpaCcoEBQICgQFplIgQGkqieKBoEBQICgQFBiKAgFKQ1E62gkKBAWCAkGBqRQIUJpKonggKBAUCAoEBYaiQIDSUJSOdoICQYGgQFBgKgUClKaSKB4ICgQFggJBgaEoEKA0FKWjnaBAUCAoEBSYSoEApakkigeCAkGBoEBQYCgKBCgNReloJygQFAgKBAWmUiBAaSqJ4oGgQFAgKBAUGIoCAUpDUTraCQoEBYICQYGpFAhQmkqieCAoEBQICgQFhqJAgNJQlI52ggJBgaBAUGAqBf4fSj7a4r9g/cEAAAAASUVORK5CYII=[/img]
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[/img]
Pause here until your teacher directs you to the last rule.
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[/img]

IM 8.5.1 Practice: Inputs and Outputs

Given the rule:
[img]data:image/png;base64,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[/img]
Complete the table for the function rule for the following input values:
Here is an input-output rule:
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[/img]
Complete the table for the input-output rule:
[size=150]Andre’s school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than a set of nested beakers. In order to fully equip the lab, the school orders 12 sets of beakers and 8 packs of test tubes.[/size][br][br]Write an equation that shows the cost of a pack of test tubes, [math]t[/math], in terms of the cost of a set of beakers, [math]b[/math].
The school office receives a bill for the supplies in the amount of $348. Write an equation with [math]t[/math] and [math]b[/math] that describes this situation.
Since [math]t[/math] is in terms of [math]b[/math] from the first equation, this expression can be substituted into the second equation where [math]t[/math] appears. Write an equation that shows this substitution.
Solve the equation for [math]b[/math].
How much did the school pay for a set of beakers?
For a pack of test tubes?
Solve:
[math]\left\{ \begin{array}{l} y=x-4 \\ y=6x-10 \end{array}\right.[/math]
 For what value of [math]x[/math] do the expressions [math]2x+3[/math] and [math]3x-6[/math] have the same value?

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