IM 7.6.6 Lesson: Distinguishing between Two Types of Situations
[size=150]Which equation doesn’t belong? Explain your reasoning.[/size][br][br][table][tr][td][math]4(x+3)=9[/math][/td][td][math]4+3x=9[/math][/td][/tr][tr][td][math]4\cdot x+12=9[/math][/td][td][math]9=12+4x[/math][/td][/tr][/table]
Sort the cards into 2 categories of your choosing.
Explain the meaning of your categories.
Now, sort the cards into 2 categories in a different way.
Explain the meaning of your new categories.
[size=150][table][tr][td]A[/td][td]B[/td][/tr][tr][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br]Story 1: Lin had 90 flyers to hang up around the school. She gave 12 flyers to each of three volunteers. Then she took the remaining flyers and divided them up equally between the three volunteers.[/size][br][br]Which diagram goes with this story? Explain your reasoning.
What part of the story does the variable in the diagram represent?
Write an equation corresponding to the story above. If you get stuck, use the diagram.
Find the value of the variable in the story.
[size=150][table][tr][td]A[/td][td]B[/td][/tr][tr][td][img]data:image/png;base64,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[/img][/td][td][img]data:image/png;base64,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[/img][br][br][/td][/tr][/table][br]Story 2: Lin had 90 flyers to hang up around the school. After giving the same number of flyers to each of three volunteers, she had 12 left to hang up by herself.[/size][br][br]Which diagram goes with this story? Explain your reasoning.
What part of the story does the variable in the diagram represent?
Write an equation corresponding to the story above. If you get stuck, use the diagram.
Find the value of the variable in the story.
[size=150]A tutor is starting a business. In the first year, they start with 5 clients and charge $10 per week for an hour of tutoring with each client. For each year following, they double the number of clients and the number of hours each week. Each new client will be charged 150% of the charges of the clients from the previous year.[/size]
Organize the weekly earnings for each year in a table.
Assuming a full-time week is 40 hours per week, how many years will it take to reach full time and how many new clients will be taken on that year?
After reaching full time, what is the tutor’s annual salary if they take 2 weeks of vacation?
Is there another business model you’d recommend for the tutor? Explain your reasoning.
IM 7.6.6 Practice: Distinguishing between Two Types of Situations
A school ordered 3 large boxes of board markers. After giving 15 markers to each of 3 teachers, there were 90 markers left. The diagram represents the situation. How many markers were originally in each box?[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAPoAAABrCAYAAABe1p/bAAAdFUlEQVR4Ae2dCdRVUxvHXylFyhiVKKJCxlKKhChzg2hJQkjSijQZixApYy1TGdMocwOKDEVKhlKURAhlLpQh+1u/bT3vt+++Z7z3vW/3vHfvtc495+6zh+f89/7v4dlTkXLGIeCDwL///uvzRqmgd76e3IvNhkDRZovZRVyqCDhilirceReZI3reJUl2Av3zzz9q/fr16pdfflHr1q1TGzdu9AzQJv6GDRu0+19//VXxbL/3DMRZJgYBR/TEJFW4oBB8wYIFatSoUWrQoEH6evbZZ9Xq1avV33//7RkABcPXX3+txo4dW+xnzJgx6uOPP9aEx5MjvSd0ibJ0RE9UcvkLS+09ZMgQVb16dbXjjjuqGjVq6OeqVauqli1bqnnz5qlNmzalBMD/N998UzVq1EhVrlxZu8f/DjvsoOrVq6cmT56s/vrrrxQ/jvQpcCTmjyN6YpLKX1AIO2zYMLXllluqpk2b6tp58eLFau7cueqKK65QkP3AAw9UK1asSAmE/w0bNtTv+/fvrxYuXKjwd++996rddttN7bzzzur1119P8eP+JBMBR/RkpluK1KtWrdI1+J577qk++eSTlHf8oaYvX7686tu3b8q76667ThUVFal+/fqlNc8nTZqkKlSooNq1a5fW7He1egqMifjjiJ6IZAoWkiY2hO3Zs6enwx9//FHtvffeqk6dOlpRh6M///xTHXrooWrbbbdVS5YsSfOHQq5x48a6Se9VeKR5cBZ5jYAjel4nTzThhg8frol+3333pdXMEsJZZ52la+j3339fWy1btkxtt912uulu98PFT69evXS448eP11auJhdkknd3RE9emqVJfPvtt2tC0k/3MvThu3btqt1Mnz5dO0EJt8UWW6gOHTqkeRFC33bbbdrPTTfdlObGWSQLAUf0ZKWXp7RTp07VffBTTjlF/f7779oNZOVi+Ozzzz/XWnSa9wy3YWbMmKFJfOGFF3qGieUjjzyi3VCzO5NsBBzRk51+Wvq1a9eqBg0aqIoVK6o777xTj4t///33as2aNeqtt95Sp512mqpUqZIm7XPPPaf9TJs2Tf/v06dPMQJSk4vFo48+qt349f3FnbvnPwKO6PmfRpEkfOaZZ9Tuu++ulWfNmzdX1O6tW7dWtWvXVieccII6/vjjdVN99uzZOjyITtP90ksv9Q1fanSb6HaB4BuAe5E3CDii501SZC/InDlzVI8ePVT9+vW1hh3CDx06VFG7t2rVStfqzHjDQHia8p06dSqO2CYwM+xwM3DgwGI37iGZCDiiJzPdfKWGrMxXZ6679Nd/+OEHTfx99tlH2+Hmo48+0kNrzZo1S5sxJ4EPGDBAE50JNM4kGwFH9GSnn6f0Zs3M82OPPaab6WZ//Oeff9Zj69WqVVNfffVVWjjMjafJX65cOT1N1nZgxmG/c//zDwFH9PxLkxKTiPFxNO4HH3ywnr8+f/78lLDpn9M0R+lmLnqBxEyFZQps3bp1FRNubOOIbiOS3/8d0fM7fSJLRzMd7Tv9cZrqrEh76aWXtBKO2W/XXnttWljvvvuuJjMae+a04w//y5cvV6effrrW4rsx9DTYEmnhiJ7IZEsXmtVpDKOdffbZ+jriiCP0YhVq5SuvvFL99ttvKZ6okblGjBihV7vVrFlTnXHGGYoZdAcccICqUqWK/g/5nUk+Ao7oyU9D/QUffPCBnhRTq1YtxcU89u7du6vnn3/eV9mGR2bNTZw4UffHWbHGxQo4WgDU7s6UDQQc0ctGOuoZcEyQ+fbbb9U333yjULaZ/WjzWT5Z7LjT9Mcf/tHYyztx6+7JRsARPdnpF0n6qKQNcxf2PpIwztFmQcARfbPAnrtI45AxjluRWPzIXezdPb8RcETP7/TJWDo/IjJUxkYV9M39jJ9fP/fOPv8RcETP/zQqUQnHjRunWI0ms+ZKNHAXWN4i4Iiet0mTG8HYQ44NIFHWOVM4CDiiF05aa0365ZdfronuxscLKOGVUo7ohZXe6oILLtCLWRiKc6ZwEHBEL5y01mPtzJ5jR1i34WMBJbyr0QsrsVHAHXbYYbpGZ+84p10vnPR3NXrhpLVeycYuNEyPZa93ZwoHAUf0wklrxX5xBx10kD6wga2mzKWpBQRDQX6qI3oZSfawZjgTZNjxlTXor776qt5uiokzzhQGAo7ohZHO+kTVfffdV02ZMkUvWeWZDSecKQwEHNELI53V6NGj9aksjJ9T+1911VV6Uwp7nXqBwFFwn+mIXkaT3GzKs/yUHWHN3WIWLVqkm+/U8LYx/drv3P9kIuCInsx0iyw1hyVCcA5MtDeBpFZv0aKF1sZHDtA5TCQCjuiJTLZwoamVOTGVI5jY592uuXm/evVqdfTRR+tFLm43mXBMk+zCET3JqWfIbje32dudSTHs2z548OCUoTTTLYctUtszrv7FF1+kTKIx3RlRuccEIuCInsBECxL5jz/+UByJzBHKhx9+uLr66qsVdkFm1qxZqkmTJrpmX7Bggd4rzpE8CLHkvYtNdDIATcKNGzfqi+dcXOxJThzr1q1zVwgGaNLpf7MXOxs9du7cWbEL7MiRIzWGUbLl22+/rTp27KjatGmjOC6ZXWVXrlypD2pkDzmvdFi/fr2nvZfbsm7H6IXNA/KwbVcS/zkhN66JRHTmSLNPOJrauXPnKo7p5ZA+7rm82MH08ccfd1cABpzCAqFRrHGOWsuWLfWkmHfeeSctL4TV0hQYd9xxhzr55JPViSeeqFjSCukffvhhNXbsWJcOPulAGowfPz7nnBDO0QKj5bVixYrI+woEEp3Sh838J0+erPcGJyNxKmfbtm1V+/btc35Rw3Tp0iXlYt9y267Q/5977rmKE085I43C2C7xwwhulwjsBMvprP3799fLWk3MzznnHIe/lSfJf+TVDh06FHOiXbt2Kf8z5YuEad5pdTGFWdIc0nudpmOmqy/RITgKmjPPPFP17t1bPfDAA3rq5Keffqq3BZatgckUubjQCLNmGqWSeUkT0LQr5Gd2iqEPHpXMYe54b7qh+Qm+NN+5g7/gbT6LXSHewQaikWfhQklywysslKaQe8KECWrQoEH60I1u3bqpF198Ma2QF7J7Ep2TNvFIKcUZ2ZzflS/Gzoj5IlfS5DDJHEV2cS/3KH6cm9wiQFr89NNPaubMmboyPvXUU3UXwmuxUhrRUcCgzKGZznlcNANLK3GJR+Iyn3MLV9kIXXDL5msc5tmgp3TeLYl0MKWQ8LzSRt7hntbEDTfcoHU0dLsw5vsUoqM5RAHTunVr9f7775vx5c2z+cHmh+SNgGVcEId5/iYwtfs111yjZzsyAmOaFKIzi4oD9l5++eWU0sD04J7zH4HSImNpxZP/iG8+Ce00+O6773SXm70BzQVLxURHmUBNzsmbttZ2832Gi9kh4BAIQsAmOm4ZAt9nn33UCy+8UOy1mOhPPvmknhONVt0Zh4BDILkIMFLCkCtDckw6ozDQRKcG52zsiy66KPConuR+upPcIVC2EbBr9tmzZ6s999xTLV26VH94EQ6YPrn33nurGTNmpPTNbc9lGyr3dQ6BsoMAs1nZg+Cee+7RH6VrdKaxNmjQoHg6nSN42Ulw9yWFh4DwlwVNzNCjxa6Jzjxpmu44EEeFB4/7YodA2ULgqaeeUgcffLCeVKOb7syoYbDdGYeAQ6DsIPDxxx/rLjn99CIWrjRt2lRPdS07n+i+xCHgEGAcfY899tBrVIpYmsjJHUyId8Yh4BAoWwhwYAfbehd9+eWXejbcW2+9lfKFrq+eAof74xBIJALsT8CeAkWcqrnXXnvpdczmlzjFnImGey4tBMwKxnwurfjLWjxsIsL6lSLWtvbo0UOv/S5rH+m+J5kIOIKXXLoxjn7nnXeqIqbIMe2VaXMYB3LJgexCioeAmffM53ihONcmAmxcwTZwxXPdzZcOZBMN9+wQSDYC8LmIrYjYSPCNN95Qc+bMUezzLXee3RUdg9dee01xOcyiY+aFFfO0OfHV652zi4ft/Pnz9fZfRffff7/e8bNVq1bKXfExOO6444px49QTLsHRfCd27h6OMZpiLodVOFZhGLGb75gxY1QRk2WKiorUNttso2rXrq123313Pcgudwbc3RWOwQ477KBxLFeunKpevbrDLEa+Id9JHttll13UFltsobGsVq1asb28d/fwvCgYwWm4rTnOXFj+HHvssYpq3l2ZYXDZZZdpHLfeemvFPt8Ox8xw5ISZ8uXLayyHDRvmcMyAk3TFyX/U9nD7kEMOUUX6p6hIL2pJtsph80o/YsQIDeq2226r3n333c0rTIJjf+WVV9RWW22lsXz66acT/CWlL7qtRGehGkTXlblNdBybV+mLm8wYhw8fXkx09twWDJP5NZtPahRxUqM7okdLByG4eedZiO5q9Gg4RnIlNXqVKlX05vqRPDlHaQiYNbpsW5zmyFlEQiCQ6FIqRArJOdIIgJkQnaa71OgOnugISL5jWK1ChQqu6R4dOl+XgUT39eVeBCJw++2368zpavRAmAJfQnZH9ECIYr0UorM61SnjYkGX7lhqIrNGd8q4dJyi2jiiR0XqP3eS/7x8CdELpo8eBIYXQKZdVL8m0Wm6myYojKB3Zhil+RwmU9j7bGTNluhesnnZZSNjSfiNKlOYu6D3JUL0oAhKAohMwsiFTFHDDCK6+S1RwzP9+D2XZFh+cZS2fbZEL21548Znpxn/bTu/MG13fn7FXYkQ3U8Y7CWiIDe5fpdLGbzCjkp087u9wjHf8yxu5G6/L63/UeKP4iZM3myJHiRD0LswubJ5HxRv0Lts4sRvzomerYCZ+hfQ5M651SzRYymun+FgOpbycRql18UZ4KaRsE07nsOI7udPwvF772cv/rK9+4WPvVwSB2d/c3SX6cd8xh2YgyO4c7exZRFVkMmW6EFhyztbZrHP1d0vPvD8/vvv06IV92zTDH42hpJPsWfPRz9T4kQXwSRC+7/Yl+adVWQcSdOiRQvFee9eBiAHDBig5wIzH9i8Dj/8cP1/9OjRaV69vi+M6ATi5S8t8Dy0gJxsR9SsWTONl5+IfN9NN92kwE7wMzHlmWmtQaYkiJ7vOP/xxx/q3nvvVUcddZS6+OKLNVm9ZF6xYoU64YQTVJMmTVLypmB6xBFHKHZ6NY0ZTkZEX7NmjeJ8Ng5u4xQIL/Phhx+qKVOmKE5lXb9+vZeTnNiZH0e8rNbZf//9VdWqVRVzz99+++20ePFDTc8qKdyx5TUFA1f79u31xfOkSZPS/HpZRCG66Y89+th32+946g0bNqjp06drzDeHFh98uNhq7Pzzz9cLdZixdtppp5mfkfYMdpUqVdIrIgVL8/7ggw+m+TEtMiX6e++9p7Gy9z6UsCnUZ82apd2wDHtzmZUrV6pevXqpWrVq6am+Rx55pCKtvQzz1VmYwoGJYGjiyHOnTp0U4Zn53wwnI6JzbNNhhx2m6tWrpwEzA+T5888/16ThaKdrr73WV3jbX0n+X7ZsmT4/rk6dOhoElugxb9qL6MRLybrffvvpQgG/7LRjXzTto5i4RCfDg1Xbtm09uxaU+PXr11fs4pnrjOmVUch8EydO1LU4cvbp00dtv/32ukA08TD9QiZqGTLxokWLNJbUSlzgunz5ct1UNf2YYfGcKdEpNJET4nilGdNp9913X40pR49hguSw5cr2Pzs4Ee8xxxyjV4mCZ40aNfSxSX5EZ5YgK/n69u1bnC8FT+6Q3O6Wmt+UEdHpC1xyySV6Ukj37t1TQKJfxumNzGg6/vjjFaQxI8wWpKj+J0yYoEHkKJrPPvtMN4u23HJLNW/ePM8g6H+zvBTwszVxib5kyRJNCEps5nebhvPpOSCvYsWK6u6779YbB5jvS+OZlhGtnMaNG6vnn39effDBB2rHHXdUbDboZyA6tc8BBxyQlgH9/Nj2mRJ91apV+lgx8qA9R56CngKTFsn111/vWRDYcpT0f/jDIaYHHnigIp9S6FEh0R3yIzpTgFmUwoq+TExGRCcilr9RqrPemoyK2bRpkxoyZIhiRlijRo00qaKQPIqbOB9HeCQ2JTuHwWPY9JL14WaNbsaLwojE53wq0z5qvKafuET/+++/1aWXXqoT8sILLyw+xZaaj/4tBVS/fv3SMqUZZyZyRvUDaV966SWdntQa1B4Uin5ERy4Kh5122knLTzymrOZzkAyZEp18OHjwYI0nzVpRUqG4ovIBT4i2du3aFLmCZCnJd3w/55ajO6Lry3kKrMMPIvpDDz2kv4c8HWa88M2Y6JQ8eKY5QcmIoQ+766676tqJQyDIwEHGS6Ag9/a7IP+8M5syNtFtvzQvKTG7detmRxP7f1yiE4EUnLvttptiN15aRmeffbYufM455xyttY4tSJYeTIxIbwiPoalIIe9HdNxQcDLXP8hNmHiZEp1w0SeAJQUSfXbyQs+ePXXL6KSTTtLdy7D4c/me5rvwA227SXQTd5Hhlltu0fmTwiHMmP7lOTbRxSOR0YyjScn8WfocDRs21In7wAMPFJeiYUJl+l7kkLtXOOY7k+imPf74j3IGotPteO6553STimYVBRatgyBjh5cJ0cmI9NFpdaCNvvXWWzWW9DPp/uTK2LJ7xWO7geg03SGMGNvN4sWLdd445ZRT1LRp03Qfn34+Cly6UmJsf2LPPRuiQyIUXVREV155pW7yUjixHhvFlp8JksfPT7b2tCzCmu5XXHGF/paHH364GEvyJwrHsGFK5ItNdDwJGETAsABkR5FFHxPl26+//hrp2yWcSI6zdGQS3fwGCZamKURn+yKUjBxkwYXSBqUSB0+SIFFMGNHlu+UuYdKfBEO2/0E5A6Zs1ElT1HYrfkrrbsYP0akpIbGfoRYlX+AORSJYomsAW7ojnNqLUjfIZEN0wqWbRvx0L9kOjVqTCklq0qC4eWd+c5jbbN6Tr8wa3SssCi3yJ0pGyZvcqVwpcGlNS4vLy39GRJeAAIJN4WVfL5q9DL3FAQj3KPSoSc8777zAi1KNw+KiGlMOIbqpjJP33Om/DRo0SI8NMyT3yCOPKMbN6TuTUSkA6NfZk2a8ZAkjuviR+OU//VrGRUlQ9kijxSR77OPGdi/+zPu4ceMCMRScpeVi+o36LEQ3a3TbL9rum2++WZFmjCqAJ7UR/1HQ0X9nSCio8MyW6IykMNoCnuiNHn/88RRll+Apd/sb+I+2OyxfynvyTZiRuOSOeyE6BSAyexl2vAU75iaAI3jeddddGkNaV5Ce7/MyxJUV0RHqggsu0EACJhMp4hqazPTlKleuHHo1b948sNTyilsAhegUSKYyznRPaUhfCcJDOAoU7tQ6ZDgyJ2PszAsQI2HLf7lHJbq4lzv9dBIMLCnhOQsvjqGmYuzaxJIWAv9NjMWOQsHP+H0b7oXoQf1v/AueFI7gyQW+KKJIS+Qg0/qZbImONpsaj3SnYBGlsV98XvYcYWTiGfR84403egWRZmdjK0QXZZz9ngDQkYAdmErepEVNWowcOVJjSR5lhp2XyZjoCHPdddfpSShkSoYyGFuXZruXsF4CMFONkinKNXXqVK8gItkxHBhEdFte8z/PgAkBUeiEmUyIjoadYR/G+mniohlm/DzImDLiDqKPHz8+EEuG6MCa70Fh5mXscG03yEqTOIjo+PELB3uamuB55pln+rrLhuiQgk1O0XnUrVtX3xkRMo0pn/ksbrBDpxAlb+LGnpkm4XjdJT7uNtFxL+9tv9jb7ygE2Fqc/I28XiZjoqPupzkEiK+//roeToPsUWePiTBkTimhpNT3u8swCX7tj5Xw/O7SdPer0f38iT19OzImTd6wuOMSneEVSAO52UH2iSee0BmTcesoihaRkTutLD/8bHv6/mHG61uj1Oh2uHY4LN8lY9L895MjU6LznYxYkB+7du2qu0DM0COvMic8qkFmSER4DIPZ+Nn/g/rIQXGaRDdHioL82O+6dOmi8ycKTy+TEdFpbqPcoDnIuB79SNlVhfm4mQrrJWBJ2QUR3c6EXnHSX4fozIcPM3GIDlboAajJW7durZteDK0xbZeMyjTiKPKFyVSS7+MS3Ut+9A/gyZRaP5MJ0Sk00LVAbDZZkBljKI0pSL3WK/jFnyt7Gw/0VGHKuCBZ+GYOCAFPKl0vE5vojE/SF6A0RhMtpGbaK+OWzCdHU5xvJojoAEVTD2MnAnZkbIYQmVCDcibMxCE6eg36fdQ2rA+Q2o0hNhIOZVJULXGYXCX1PgrRqTnlW+x46UeyroDvY82En/Eiulf6mP6lpYnylFmGIoNMOEHZSU2cT8as0WlB2N9IKw03foZaHH0HQ4d+yuJYRCeyNm3a6GYlkzjMZiWAyhBAUCntJ2yu7b2UcQIosqP5p79Iv5jm/cKFC/VMMDTHQvLevXtHyiRRiE7c1Nbbbbed7gKh5JNMCRYokhhio+D0W5yRa8z8whei+w2v8W3UqswLQCeAxhg8WZDDsb0onRh6o3mNTkfSwY7Pi+i2G/M/hTCYETYHZ5gjFhQuTMmllWQXLn7xm2Hn8tmeMGPGhWy0SuiDMyeerjFYcjHHg9YgIzRo3u08ZIYTmej0Izt27KibmDSJmERiA0RCkjG5GEfNJ0PhQytEFoXYsjOuC2BMqmB2H2OvXGjaaVahUSVBvIwdVhjRcU8iyZFDQ4cOLW4ZSfiQXqbFdu7cOecTkCTeKHcKIcjE6R9ehu9j2NULTwo2FroMHDjQV0MsYcYhOsOmjFiQxug5ZJhK0oY7LVBaETTj7Vpd3EncpXmnAt155511hUILWWSRO+9ZgwGZGT2gMCNv4gelKCMYTPKiNeBnUoiud4j0OakFTSuztRjH89vCmCYmfSBIkQ9EF6D4eGZnUTubkzTM97ROyCw08XDHd3LRLFq6dKlnk8j0bwIchejU5uBEC0JGKghDwuSOFhcZqBX9lgOb8ZbWM2PkdDn8FD/IAZGodRjb5Rv4Vu78Zzku3xymvIpD9JkzZ+p1Fmi/qZRMI5hSOSED3SKzNSrvTT+l+UzaksbkPWmFmK07nhkhYYHTHXfcob+B70AvxvJlup3ShfaTO4XoeodIH6JDYtr/XEF9RoTGjakh94s8l/Z24gEEcpkA2vHzXdQE8p2Mo+NP/Nhh2v7lfxSiSzxS84hf7hIPREAW5BA7093megYPZPKS3ZQJPKllBE/u+BE8Tbdez3GILnhSwPhhRbyCpy2Dnx8vuUrajrjhTRQ8+T6wp6DkHsRFU87IRDc9lZXnbBNX/MtdcAkjurjzu9vh+bnLB/tcyhqF6Hb89n/ByM9e3iflbn9H2H/5Lk+io5QKMnbgYW7juA8KKynvsiV6Ur7TljNqOkd1F4Xotgxx/oscco/jN2luPYmO0s2ZzBEoVKJnjpi3zzhELwSyeqMUzdaT6Fg6Ex8ByWyO6PGx8/IRh+he/p3d/xEIJLpk3P87d09REJBZgswctE9qieLfufkPAZPo7jTV7HJFINGzC7pwfdvnoxcuEtl9uSN6dviZvj2J7vroJkTxn13TPT5mXj5MorMph1cLEzsve6/wCtkOBTuThVIOWTSXDjoQ42cPk+hB2xbFD7mwfDCllSmrZFAWT7m8GJ7+fhil1OgyM84eXvPzHB5tYbpg9hKZkz6636EMhYlMvK9mUYoQ3dzwI14ozjUIeNboLDVl+qW74mPARo4sZYXorChiqit2Dst4WDKfnoUprBgEy1GjRumFPqye9MKSacpe9s7uP9zhNDjqpjs7nPBHlk2ydNJd8TBg8z4WG4AjCyxYuoudwzE+jjVr1tQ4giWLOByG8TEUzOA0OHJoRBErvPgjmZSMymX/F3t3/w8fGwfB0OHmjY+NV9B/h2X2GIKv4Kg5zioY+kIoPrhodnLJf3f/Dxc/HEys0BILhn7unX06niaG4AOOctl4ufzpjZ+NC//BEG7D8f8BHIXyS6zVsg0AAAAASUVORK5CYII=[/img]
The diagram can be represented by the equation [math]25=2+6x[/math]. Explain where you can see the 6 in the diagram.[br][img]data:image/png;base64,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[/img]
Match each story to an equation.
Jada’s teacher fills a travel bag with 5 copies of a textbook. The weight of the bag and books is 17 pounds. The empty travel bag weighs 3 pounds. How much does each book weigh?
A piece of scenery for the school play is in the shape of a 5-foot-long rectangle. The designer decides to increase the length. There will be 3 identical rectangles with a total length of 17 feet. By how much did the designer increase the length of each rectangle?
Elena spends $17 and buys a $3 book and a bookmark for each of her 5 cousins. How much does each bookmark cost?
Noah packs up bags at the food pantry to deliver to families. He packs 5 bags that weigh a total of 17 pounds. Each bag contains 3 pounds of groceries and a packet of papers with health-related information. How much does each packet of papers weigh?
Andre has 3 times as many pencils as Noah and 5 pens. He has 17 pens and pencils all together. How many pencils does Noah have?
[size=150]Elena walked 20 minutes more than Lin. Jada walked twice as long as Elena. Jada walked for 90 minutes. The equation [math]2\left(x+20\right)=90[/math] describes this situation. Match each expression with the statement in the story with the expression it represents.[br][/size][br]The number of minutes that Jade walked
The number of minutes that Elena walked
The number of minutes that Lin walked