IM Alg1.2.6 Lesson: Equivalent Equations
Your teacher will assign you one of these expressions:
[math]\frac{n^2-9}{2(4-3)}\qquad\text{or}\qquad(n+3)\cdot\frac{n-3}{8-3\cdot2}[/math][br][br]Evaluate your expression when [math]n[/math] is 5.
Evaluate your expression when [math]n[/math] is 7.
Evaluate your expression when [math]n[/math] is 13.
Evaluate your expression when [math]n[/math] is -1.
Write as many equations as possible that could represent the relationship between the ages of the two children in each family described.
[size=150]Be prepared to explain what each part of your equation represents.[/size][br][list=1][/list]In Family A, the youngest child is 7 years younger than the oldest, who is 18. [br]
In Family B, the middle child is 5 years older than the youngest child. [br]
Tyler thinks that the relationship between the ages of the children in Family B can be described with [math]2m-2y=10[/math], where [math]m[/math] is the age of the middle child and the age of the youngest. Explain why Tyler is right.
Are any of these equations [b]equivalent[/b] to one another? If so, which ones? Explain your reasoning.[br][br][table][tr][td][math]3a+6=15[/math][/td][td][math]3a=9[/math][/td][td][math]a+2=5[/math][/td][td][math]\frac{1}{3}a=1[/math][/td][/tr][/table]
Here is a puzzle:
[center][math]m+m=N[/math][br][math]N+N=p[/math][br][math]m+p=Q[/math][br][math]p+Q=?[/math][br][/center][br]Which expressions could be equal to [math]p+Q?[/math]
Noah is buying a pair of jeans and using a coupon for 10% off. The total price is $56.70, which includes $2.70 in sales tax. Noah's purchase can be modeled by the equation:
[math]x-0.1x+2.70=56.70[/math][br][br][size=150]Discuss with a partner:[/size][br][list][*]What does the solution to the equation mean in this situation?[/*][*]How can you verify that 70 is not a solution but 60 is the solution?[/*][/list]
[size=150]Here are some equations that are related to [math]x-0.1x+2.70=56.70[/math]. Each equation is a result of performing one or more moves on that original equation. Each can also be interpreted in terms of Noah’s purchase.[br]For each equation, determine either what move was made or how the equation could be interpreted. (Some examples are given here.) Then, check if 60 is the solution of the equation.[/size][br][table][tr][td]Equation A[/td][td][math]100x-10x+270=5,670[/math][br][/td][/tr][tr][td][list][*]What was done?[/*][/list][/td][td][/td][/tr][tr][td][list][*]Interpretation?[/*][/list][/td][td][The price is expressed in cents instead of dollars.][/td][/tr][tr][td][list][*]Same solution?[/*][/list][/td][td][/td][/tr][/table]
[table][tr][td]Equation B[/td][td][math]x-0.1x=54[/math][/td][/tr][tr][td][list][*]What was done?[/*][/list][/td][td][Subtract 2.70 from both sides of the equation.][/td][/tr][tr][td][list][*]Interpretation?[/*][/list][/td][td][/td][/tr][tr][td][list][*]Same solution?[/*][/list][/td][td][/td][/tr][/table][br]
[table][tr][td]Equation C[/td][td][math]0.9x+2.70=56.70[/math][/td][/tr][tr][td][list][*]What was done?[/*][/list][/td][td][/td][/tr][tr][td][list][*]Interpretation?[/*][/list][/td][td][10% off means paying 90% of the original price. [br]90% of the original price plus sales tax is $56.70.][/td][/tr][tr][td][list][*]Same solution?[/*][/list][/td][td][/td][/tr][/table]
[size=150]Here are some other equations. For each equation, determine what move was made or how the equation could be interpreted. Then, check if 60 is the solution to the equation.[/size][br][table][tr][td]Equation D[/td][td][math]x-0.1x=56.70[/math][/td][/tr][tr][td][list][*]What was done?[/*][/list][/td][td][/td][/tr][tr][td][list][*]Interpretation?[/*][/list][/td][td][The price after using the coupon for 10% [br]off and before sales tax is $56.70][/td][/tr][tr][td][list][*]Same solution?[/*][/list][/td][td][/td][/tr][/table]
[table][tr][td]Equation E[/td][td][math]x-0.1x=59.40[/math][/td][/tr][tr][td][list][*]What was done?[/*][/list][/td][td][Subtract 2.70 from the left and add 2.70 to the right.][/td][/tr][tr][td][list][*]Interpretation?[/*][/list][/td][td][/td][/tr][tr][td][list][*]Same solution?[/*][/list][/td][td][/td][/tr][/table]
[table][tr][td]Equation F[/td][td][math]2(x-0.1x+2.70)=56.70[/math][/td][/tr][tr][td][list][*]What was done?[/*][/list][/td][td][/td][/tr][tr][td][list][*]Interpretation?[/*][/list][/td][td][The price of 2 pairs of jeans, after using the coupon for [br]10% off and paying sales tax, is $56.70][/td][/tr][tr][td][list][*]Same solution?[/*][/list][/td][td][/td][/tr][/table]
[size=150]Which of the six equations are equivalent to the original equation? Be prepared to explain how you know. [/size][br]
IM Alg1.2.6 Practice: Equivalent Equations
[size=150]Which equation is equivalent to the equation [math]6x+9=12[/math]?[/size]
[size=150]Select all the equations that have the same solution as the equation [math]3x-12=24[/math].[/size]
[size=150]Jada has a coin jar containing [math]n[/math] nickels and [math]d[/math] dimes worth a total of $3.65. The equation [math]0.05n+0.1d=3.65[/math] is one way to represent this situation.[/size][br][br]Which equation is equivalent to the equation [math]0.05n+0.1d=3.65[/math]?
[size=150]Select [b]all [/b]the equations that have the same solution as [math]2x-5=15[/math].[/size]
[size=150]The number of hours spent in an airplane on a single flight is recorded on a dot plot. The mean is 5 hours and the standard deviation is approximately 5.82 hours. The median is 4 hours and the IQR is 3 hours. The value 26 hours is an outlier that should not have been included in the data.[/size][br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAd0AAABkCAYAAADDj+pnAAAd40lEQVR4Ae2da6htVRXHL2XRp7J8llYGlWbpTSotKrPM0kzNtCxTuhE9jEKDIiPoXgwKClIiooJSVFLJ8Co97aHZA7NIrVtqFCZEWUF96EtQueK38X/POOPMtc9673PO/g9YZ6451xyP+Z9jjrHWXuusta0yGQEjYASMgBEwApMgsG0SLVZiBIyAETACRsAIVE66dgIjYASMgBEwAhMh4KQ7EdBWYwSMgBEwAkbASdc+YASMgBEwAkZgIgScdCcC2mqMgBEwAkbACDjp2geMgBEwAkbACEyEgJPuREBbjREwAkbACBgBJ137gBEwAkbACBiBiRBw0p0IaKsxAkbACBgBI7C0Sfehhx7y7BsBI2AEjIARmBSBpUu6d955Z/WqV72q2meffarnPOc51VVXXdUK8D179lSnnHLKjP/II4+svvzlL7fid2cjYASMgBFYXgSWLukeccQR1bZt21Ztd9xxR2MP2L59+ypeZP3oRz9qzO+ORsAIGAEjsLwILFXSJTnmhEt9586djTzg5z//eZH/4osvbsTvTkbACBgBI7DcCCxV0uWKtpR0P/7xjzfygrvvvrvI3zRpN1LiTkbACBgBI7BlEViqpMssvvjFL16VOB/xiEdUv/vd7xpP8Cte8YpV/CTxX//614353dEIGAEjYASWF4GlS7p//etfq3e9613V4YcfXp1++unVLbfc0mr2//GPf1Tvec97Zvyvfe1rq+9+97ut+N3ZCBgBI2AElheBpUu6yzvVHrkRMAJGwAgsGgEn3UXPgPUbASNgBIzA0iDgpLs0U+2BGgEjYASMwKIRmDzp8tDRmWeeWe2///7ViSee2Pqe6D333FOdffbZ1QEHHFCdcMIJ1Te/+c1WGP7+97+vzjnnnOrAAw+sjj/++OrGG29sxf/AAw9U55577oyfh7K+9rWvteL/85//XJ1//vnVQQcdVL3oRS+qrrvuulb8f//736sdO3ZUBx98cHXcccdVV199dSt+dzYCRsAIGIHFITB50n3GM56x6ulf3gz1xz/+sTECz372s1fx8/Twfffd15j/mGOOWcP/q1/9qjH/C1/4wjX8/P9uUyLR539b+slPftKUvTrppJPW8Ld9GKyxMnc0AkbACBiBQRGYNOl++9vfXpMwSECf+cxnGg2K5JITFvVPfepTjfh/+tOfFvk/9rGPNeL/5S9/WeT/yEc+0oj/N7/5TZH/Ax/4QCN+rtJL43/f+97XiN+djIARMAJGYLEIbImk+8lPfrIRils16b73ve9tNH53MgJGwAgYgcUiMGnSZahPf/rTV12ttf15mY8M5Ku9Zfp5+ZWvfOWa8f/gBz9YrBdZuxEwAkbACDRCYPKky/3T173uddV+++1X8Xanm2++uZGh6sSDVGedddbsQayuD1K98Y1vnD2I9dKXvrTTg1RvfvObZ/w8SHX99dfLtEYlD1Kdd955swexuD987bXXNuJTJx6keutb3zp7EOvYY4/1g1QCxqURMAJGYBMgMHnS3QSY2EQjYASMgBEwAqMg4KQ7CqwWagSMgBEwAkZgLQJOumsxcYsRMAJGwAgYgVEQmDzp3n///dXb3va2iv/X5d7s7bff3mpgf/rTn6q3v/3t1TOf+czZSzbafkCeDx68853v7PXBgwsuuGDvBw/a3pP+17/+VfG08RFHHFGdcsoprV/u8e9//7u68MILq2c961nVq1/96uqmm25qhZ87GwEjYAQ2MwJ8ZIaPzfDRGmIxH6HZTDR50j366KNXPX37uMc9rvrLX/7SGLPnP//5q/gf85jHtHq5Rt9P+7385S9fpZ8nqdu8XINEmZ++/sUvftF4/HwZKfPzr1AmI2AEjMBWR4A3Gub4R0zeTDRp0uUMJQNG/XOf+1wjzG677bYi/6c//elG/D/72c+K/H0/Yv/Rj360kf577723qP9DH/pQI35+JSjhd9FFFzXidycjYASMwGZGYOfOncUYePfdd2+aYU2adL/xjW8UAbv00ksbAfa9732vyP+JT3yiET8/RZeS1q5duxrx87rHEv/FF1/ciJ8r4hL/+9///kb8/D9yiZ+fWExGwAgYga2OwIc//OFiDGzzKt5FYzRp0v3Pf/5THXLIIWtAa/Nyi6c97Wlr+Nv8vMu91Jy42kzY9u3b1/D/+Mc/bjyPL3jBC9bwf//732/M/5KXvGQN/7e+9a3G/O5oBIyAEdisCBBrc/wmJm8mmjTpAgwv9+c3+Ec+8pHV8573vNZf6bnjjjsq3soE/3Of+9zWL5e48847Zw8g8Saso446qrrqqqtazdeePXuq17zmNdWjHvWoio8vXH755a34OcE47bTTZvw8DPXFL36xFT8/MfNykUc/+tGzh8ma/jTfSok7GwEjYAQ2KALEXGIvMZhYTEzeTDR50hU4//3vf7Xbqfzf//7XiU9MDz30kHZdGgEjYASMgBGYBIHOSffBBx+s+PeVrgQ//z7TleD/5z//2ZW9gv9vf/tbL35kdCV4zW/87D/dEPD6cfzoEz+J/X34yT1d+TsnXZ6Y7ZN0P/jBD/ZKutxQ75N0eeK4T9K95JJLKt6j3JV4+OuBBx7oyj77nOEf/vCHzvyXXXZZxdPUXemzn/1sr591Pv/5z1d33XVXV/XVl770parNvfis6Morr6z6/KvVNddcU/3whz/MYhvXv/rVr1Zt7uVnwbt37674VGZX+vrXv16xdaXvfOc71Q033NCVfTZ2MOhK/CfDV77yla7ss7nHB7oSvocPdiVuc33hC1/oyj5be6zBrsTaJwZ0JWJP00+qlnQQ+5o+AFviJ/YSg7sSsb/pf52UdJB7yEFdyEm3C2pVNZtwJ93u91KcdJ10nXSddDuG39kFj5NuS/R8pesrXV/pNn9qPS8vX+n6StdXur7SzXFhbt1J10nXSddJd26QmHPQPy/vqZx0lyzp8i3ad7zjHdW73/3uThv/7sM7lLvyH3PMMbN3OHfl59+V+C5tV37+3/b888/vzH/cccdVb3nLWzrz8y3ec889tzM/r8N805ve1Jmf/xfmu8Rd8Tv++OOrN7zhDZ35+Zby61//+s78fMuZf73qaj//tsYrObvyn3TSSbN/HevKf/LJJ1ennnpqZ/2895utq35080rTrvz82xwYdOU/44wzqhNPPLEzP3OPD3TVj+/hg135zz777Io10JWftcca7MrP2icGdOUn9hCDuvIT+4iBXfmJvcTgrvzEfnJAV36+H8D66UKd7+mSdJ/ylKdUT33qUzttj33sY6snP/nJnXjRyTub+/IfeuihnfXvu+++VV9+XhTSFb/HP/7xsxeN9OF/0pOe1Fn/E57whKov/xOf+MTO+vfbb7+qD//+++9fHXzwwZ31w3/QQQd15j/ggAN68x944IGd9cPbl58xdPU/sOvLzxx01c/c9+HH9/DBrvr78rP2WINd9cNPDOnKT+zqy08M7aqf2NuXnxzSVT+5Z/Kk66eX/fRyn39K94NUfpDKD1L5QaouV4rw+OnlDsj5nq7v6fqeru/pdggdMxbf0/U9XT+93HL1OOk66TrpOum2DBt7uzvpOuk66e5dDs12nHSddJ10nXSbRYu1vZx0nXSXLunyNp0+b6SCv89rIOHv80Yq+Pu8kQr+Pi/HgL/PG6ng7/NGKvj7vJEK/j73dOHvk3Th7/NGKvj7vJEK/j5vpIKfrSstOz9Jtw9+zH0ffnyvDz9vpOrDz9rrw8/a78NP7OnDT+zrw0/s7cNP7O/DT+7pyt/56eWuwcJ8RsAIGAEjYASWFQEn3WWdeY/bCBgBI2AEJkfASXdyyK3QCBgBI2AElhUBJ91lnXmP2wgYASNgBCZHwEl3csit0AgYASNgBJYVgc5J95Zbbun19HBfwNG/7AQGt95660Jg4OnL+++/fyG6S0oXbQ/6+zxNXxrTZmsDA/xxETjgi+gfi5A/z98Z85hrcb3xrWdfX1wY35j4rmdfE/2ag3nztJ6euuPr6ZfuOv7Y3jrpXn755dW2bduql73sZbOS+lQEmLxknPdlop93Z1566aVTqV+jBxvYpqadO3fO3ju6ffv2mf4pFwPzzTtPGTf6mQ8cbkxi3vlARglrxo492II/7NixY3BTGF9JP+27du2a6cU2/BI8hib0ILc0/qgLv2BtDn1Cin4+EIDsEvEx+8MOO2zvuhw6JqCfeS3pZ/7RrbXAHAy5HuTvyGdDV5SPbfiG3uHL8SGDvrCt07+efaX5atOGL0V8WWN1/gUuzBF+OBShC3w1v+gHk0joZX1wjDVy4YUXxsO99qU/5pzo31qb8fh64y+vohozcSYGJqejpD6kk9WonjWjLyZZ6Zc983iHPoYdcoShZc+Tx4SidyrMsy0sqog3X3sZ0smzPhYYDs1XQUpJh2PyCRYA2MRFkeW1rbPoSOol/ehjPigh6Zc9bXWV+oM1Qa+kP/anH2NnfuqCYuzfdB+5BD30l5IeuogBQ+qMtkk/OJf04xMRb+Yee4ciZMe1hh34vAhcYj0fV7+uJf4PBiLswR9E69mnfl1L9Me5RR/rIRO+Lz8Fg6GI+Yz6sQd/E0nvkDolmzKPX/6uPuAR4xK+gp9Gn1Ffla2SbsmhcDoUL4oYcJyUKexgERDsmZAI+BS6xwxw69mPg+fAh0/gA2MRiw68meOMdV4A2ED/3K+Pbcxxnf6SXPAY8iSEMWqrG5cCD3YyP/QfipCpwJPnHh0knLECHvLRz5xCJf2caMTxsh+D8oxxwD/Ij3bk9ag1Mi/o9jEn68+y1jue+3epx/GLH59XfhjTH9CHfnCGhl7vGs+8Ev3gDJXWe/aJLKtV0i0tMJTWBYOsbIw6A2RhTkla6AA/5djRR7KHGPMi7p8xXn7qw+llzxT4l7DOZ5ngQr9SUOjrHyX9JZmskTFOQufpV8DDnhgQSvZ1bavDFX3MP0kGfxwr2Whs2X7iD1e26MUn2R8Df+klyMcr25KvsUbBawziBEgxoCQ/21fq06etpJ82YiJEfBgz6eJr8aRKOYm5x//GvK/O+PCzqJ96nG/WorCow7lV0i0BuogzDQ2GyY0LQO1jloDKBs0LhGPYQDAhqDAP2MDYpz7pwLnRz09MbGMFl4xfCevSCR/2lQJhlte2XtKfZdCH+cCGoalOfwx46Jwy6RJw0MdJGL92sDF+YsIYVDevrAWO4Y9jJlzmlZ9QwRxiTko2sT44NjShn/Uv/Vm+7BtDt3SRUCLG6CTp4AtQKUeId4gyy6eO/6kdW8Z4rkK2E3MV/9UmP8D/sANM5lHvpMsEoGhqYmHjAOsNcEi7ADeexVCfcuwkmRzUxz6zzfgRWBkzY8f5pkr6JaxLvqdEkO3uWy/pjzI5A2fBj3XVX9KfAx72kAToOzQhMycYtUV9wn+MdZn1M0b8H9xJROyPlfQZDwkvBlzaSjZpfQw9BwT8uls5JfuG1q8TqygXm2ISZuxjXemW9BOPMyb4A74wNKEnxn/ks95JtoxZJ8A8dDiPWiVdBGdAqU+ZeBiMFtcYC3seWEwmgPLEKhtnWJz5sq8zvXn8fY8xqRlrJr208PvqKvGjHwwiMRfxwY54bMh9Ansee13bGHiUdGl8WnjgMxaV9BMESATyR0rGjl/Sf0hCXgnXUhuJb2j9jCXrYv0T8OLaU9KPbUPgUJfwsCnHoTHGX0o4GpcSbk4+Oj5EWdKPv4N/9D9iAVeatA1J6M8JD/nEhOxrpTzV1xbpz3OdTzpkUzwRybpbJV0CbA58KM2JOCsZso4NgJ8HP6SOOlmaTJVMBEmI+tCLvGQDwT0nPRwut5V4h2grXVlOlfQZZ/Y9BdjoCyUbhxh7ST9yNSf45ZhU0o9O+aJKkgB+Sf8hCXk56SEf38u+T7/cNoQtWX+d72HTkOMHT7YSEYviyVbJJ0t8bdrm6V9UwsV+MJbfqQR71in1oYjx18V8jmVdpUTYxxZiSp3+kq/xa0i2KepvlXRh5Czusssum8nAGOpjLLBopPYJMpxZ7d69e+9Nc26cs/gWQThdTgRj24E+rmRYbGycVc6b4CHtYZ7jWTz6saUuIA2puw5rFpjwoA/+EYPgUDaU9ON36GM96CEOlUPplZySfh2LJYmJvkMTMnPSQwe+x9W2YgABZ6w1UdJP0FM8wh7FpKHGj28zPs2rSo2XmKTx08YvYUOuh/X01x1nbQ5BdfI1/qxjjIQ7D3/siDEJPx0yJ62Xc/B35lx4o5+YMG8Ntk66BBqyPguAcp7wPCF961rQTGzcaF8EgcXUuplcdBJs2KZKuMKXhAb2zD/6WZRyOPUZo6zDGt0kXtkzFh4l/SzI6Idxf2gMSvpLOrCBvkMTMpFdIl0JEOzG9IeSfuxi/tHNxv6Q449zGveZexE+h258cOjxR51xX/pjW9wfCoMoM+5LvzBQSWyqO6Y+bcqoM+5HHfJN8KfPkDmJ8US92lfcJ/4w/8RC6V/vpL910m0DmPsaASNgBIyAETACKwg46a5g4T0jYASMgBEwAqMi4KQ7KrwWbgSMgBEwAkZgBQEn3RUsvGcEjIARMAJGYFQEnHRHhdfCjYARMAJGwAisIOCku4KF94yAETACRsAIjIqAk+6o8Fq4ETACRsAIGIEVBJx0V7DwnhEwAkbACBiBURFw0h0VXgs3AkbACBgBI7CCgJPuChbeMwJGwAgYASMwKgJOuqPCa+FGwAgYASNgBFYQcNJdwWLp93iH6VDvbB0bTF50zsvn6977zPtX646NbZvlG4GmCPz2t7+t2EzLg4CT7vLM9boj1cu81+244A68VJ6Xi/OSeT66USKOD/ni85IOt81HgJfSj/UBivmaxznKS+7Xe5l9W81nnnlmdc4557Rlc/9NjICT7iaevKFN3wxJl0RKQl3vitxJd2jvWJHHrwzxKy8rR1bv8cUftq1CnOTxRaUhyUl3SDQ3hywn3c0xT5NYuRmSLldOdVe3ESQn3YjGsPskHnzF1B8BJ93+GG42CU66C5wxrtp07/GKK66odu3aNdvyB6Lpw7FM9Mvt+jlPPBxnH+IeJx/8lp58z1NJN/bDrtxPdnC1KVmlK0/ZIjuzrZKjEj3CATszDujgg9GHHXbYXr3izaWSbtSN7BJFvdhYGgtXdsIxysjt9FE/jiFPdfjURjv25DFG2ezDS19t0TbpivMFbk3mK9okncwXvOiQvowZfHxUPM5B3Rjoy3hFsR5xKNkinlhGu0rjRCayIh6Mo86+KJt9fjrWuJGfSfLVrjr65LcaC8fQyyaZu3fvFuvespR04UG/+CRTTDpOnWPqV/fTt/rTDzvr/EPyXY6LgJPuuPjOlU6QI4CxkfCocxWnhCFm2mnLxILL7dR37Ngx+6gy96AkjyBAoEQP7Xx0ed999121ADlGH9pjP9pYuJG4r8rPbZS6x4qdkbCFQIAu5M37qZGxoBd7ZTd17IYIuMhAFnrZZ6sj4UBf9MreE044YRUL4wJ/5NIHmfBedNFFq/rRnsdHh9xOH9qQpXFrDIyNNvpwnDplHYED9lOyIRd+EXKi/9CH4+AWkzP9JQt9bMjFTyJFzGK/iBk2wMvGPlvWJZnCItZlb5xn+Yn6lUqurtHJXCJX44wJBFs4Kcv+W8Ij62C8yKQUVnHc9Ec+ukWqMxa2iAX74CubsZv9LLOUdMFD+MBHPf6srXWvdY7N6oftkfK6YozMQcQt9vf++AisjeTj67SGhxFgAecFxSEWLJtI/VRXqcWnOiXyIi9t1LMeFh1tSgixH3JF9IOfhS0ikRJAYrCVLTE5Iz/3k4xcKuDFdgINATMGCLDI44s82kc3MiOvbIzjI1ghL/ZjXPDHfvSJAVd6crvmKuJFX+mOeiSjrsSGuqsXeKQrBmTkY1MM7tJdmq84xqaYIZ9tPcpzJXspI4EViWAeZdyo41tx7NhUwqzkW1lX9FuONfEB9OGfOdHBzzHsi3ZLZlxzpaQbeZCF/IiP5hPfjQQWjD8SY494I5u2ks2Rz/vjIbB6hsbTY8kFBBSE8iHauboU1fXT4lM/ylLQqeMnMHBMRJ0FmYkgERcz/XJSgYc+UV6uZ7mqaxw58HGcwBVlso/+9ahON+0KegQg6qXExpVGDGoZK+nP7diHzBw4GRvtpZ8tJSuXzAVXM1mW+kmX6ioZT7SBuSphlgMyPBFryaNdmNGGrJI89VeZ50r25vFk/xL/emXGnjrzlokE08TezMe440lJSV9pvSCHvqXElueilHSzHRkfrZdoGzxq18mV6hlv5iEm8azP9XERcNIdF9+50nH+UpBQcBJzrqtdi0p1yhwoaKvjLwWRUnCSHiVFAg0nBVxNxS0H7ZIt0Vbtl87QdSwHL8ZSslH9VaI7JorYjgxI41KQUh/KHKgzVuqb25FdmlP6Yw8nEWDH/bUcDCVTJXaBNVdTJF/hr+N1WGhclBA2luYLufHEoglmktdkDrJ91NGRSfbm9lgHK05Y+PlYPof9yBRhU8mubIf6xxJskS/ZlNl/kd1EH3JzX+mCP55Ql5IueHB7Q7aQICNuwiv7rdopIXTBJzkq0R/lyTaX0yCwdgVMo9daHl4UdUEiLgotngxaPgPmOHxadOpfx58DA/WSPVrMCvokAs7Yac+b+tTZIptiWWcffbAnXjHQt2RjlMd+CQe1IwPSuHLw4ljWg07xzZgf/pPbM1/syz7Jg3lTMi1dZWce+qCHMUUb2C9dsWhclBC8JNc8V9Tj2JtgJnnIXI8yFtTRkUn25nbVwYxEgU6wkN3UIx7US3ZlOyRXJRjoBEQY4ccZj6b6kJv7She2MPeinHRZV/rZXLbg/xG3OrzUTgkJb8nJpWxwOS0Ca1fAtPqXWltdMNBiETh1V4K5H/1zoKCt1I/2HBiol4J4Tu70IzisRyVbSjz559DYp8/Pywo+UR42gQekwFpKfIwxXgVmrCSzq33wIz9e9UhmXal5UKKsm9eMJ3NVmtesp26+ImbwgAXbeoR9sV+dvcwTOuqozv9JXppLeOvsynZkPcxD/nVCvhF9CPlN9MmWeLIoncxFxCQmXU4uwIF5jpRxq8NL7bJZdeSaNg4C9Z6+cWzcspbUBYO6RRavInX2n4MVdS06AZflqb0UREr89ItJNgd/yctlSVbuozrJKz8xrGAbx12HmeSorNNNOzJEjI2f3SKR1DJ/qZ+CWpTX1D70gWO86ok2lPaVCIQHurATnCJhK5tIdpZOLtSHMo9ZxzJmTZN4xkL2Sq5K2ad6LuHjSjSSeDgmyuNWe7ZD7SpLfLIVPSL6NdFHf/pic0x48quYVEtJN85TaZ1r7LJLpdplM7z4F7cmTBsHASfdBc5FXTDQgo+mcSbOItb/5HGFxBk6ATFSKXCW5MFTCiLIJAGyUNGFHuoK9NJF4EUX99jop/+f1YKnX8kW8ecSPvSQACUP/hig4KnDLMur0007MkSMi8DEONHLuME5nmTQVwFN9tEPe5mXKK/OPvi52uTEAj2U6MkJU3ZRxnmAR3OuPujC9tgPHdR1Nay++omyy3xlzHQlLR/JviGdGQvqyMokbHO76kpWEXtwx1eRKSolT45lO9RfZR4PepANttgmKq0X2kokW5gL5lrzna+oY9JFDnx5nWutSU8dXmqPNrOPDfI97GA/4ia5LqdBYO0KmEavtTwcyHNSARgWSl4UnLUSoFmAHKMPbbkf9RwES/LQg26OiagT4OBHjnShp0SSq+AXz9DpX7KlJEdtWW8eB/3QWcJMMlTW6aY9jpn+JWwlJ5ZgI1yYC/iQFeXV2Udf7BZ/yY6oi33wjP3zuDlGkM72l3BDHrbBo/lCHrwijpV4aY9jlG0kcrYSj/RFm6Vf+lTCj455pD74ZB326Ir6JK9uTnSckj4aj06EkBXHRj3iUKcPecyLcKOU3VEn+5dccslsU3ueS+mL+AgL8ahUe7SZY2rHBsbI+HIfyXA5PgJOuuNjbA1GYBQECMQEd9PGQ0BJd+NZZosWjYCT7qJnwPqNQEcEnHQ7AjcBm5PuBCBvUhVOupt04my2EXDS3bg+4KS7cedm0ZY56S56BqzfCHREoMm9yo6izdYTgXz/t6c4s28hBJx0t9BkeihGwAgYASOwsRFw0t3Y82PrjIARMAJGYAsh4KS7hSbTQzECRsAIGIGNjYCT7saeH1tnBIyAETACWwgBJ90tNJkeihEwAkbACGxsBJx0N/b82DojYASMgBHYQgg46W6hyfRQjIARMAJGYGMj8H8c2Dth4ipACwAAAABJRU5ErkJggg==[/img][br][size=150]When the outlier is removed from the data set:[br][/size][br]What is the mean?
What is the standard deviation?[br]
What is the median?[br]
What is the IQR?[br]
[size=150] A basketball coach purchases bananas for the players on his team. The table shows total price in dollars, [math]P[/math], of [math]n[/math] bananas.[/size][br][img]data:image/png;base64,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[/img][br]Which equation could represent the total price in dollars for [math]n[/math] bananas?
Kiran is collecting dimes and quarters in a jar. He has collected $10.00 so far and has [math]d[/math] dimes and [math]q[/math] quarters. The relationship between the numbers of dimes and quarters, and the amount of money in dollars is represented by the equation [math]0.1d+0.25q=10[/math].[br][br]Select [b]all[/b] the values [math](d,q)[/math] that could be solutions to the equation.
[size=150]Here is a graph of the equation [math]3x-2y=12[/math].[/size][br][img]data:image/png;base64,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[/img][br]Select [b]all[/b] coordinate pairs that represent a solution to the equation.
Jada bought some sugar and strawberries to make strawberry jam. Sugar costs $1.80 per pound, and strawberries cost $2.50 per pound. Jada spent a total of $19.40.
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[/img]