IM Alg1.6.8 Practice: Equivalent Quadratic Expressions

Draw a diagram to show that (2x+5)(x+3) is equivalent to 2x²+11x+15.
Match each quadratic expression that is written as a product with an equivalent expression that is expanded.
[size=150]Select [b]all[/b] expressions that are equivalent to [math]x^2+4x[/math].[/size]
Tyler drew a diagram to expand (x+5)(2x+3).
Explain Tyler’s mistake.[br]
What is the correct expanded form of [math](x+5)(2x+3)[/math]?[br]
[size=150]Explain why the values of the exponential expression [math]3^x[/math] will eventually overtake the values of the quadratic expression [math]10x^2[/math].[/size]
[size=150]A baseball travels [math]d[/math] meters [math]t[/math] seconds after being dropped from the top of a building. The distance traveled by the baseball can be modeled by the equation [math]d=5t^2[/math].[/size][br][br][table][tr][td]Graph  A[/td][td]Graph 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RPiljecse2Ub68c2jntX1Zscvd4rp+/vnny2uAjCXK7o4BBGCBhYKoOUMIoTDtlJEBQShUrc7/1wKh2OgWVo4gdO4aHeWOISzuGG/i4sviKuXoQItBiM7rmNsnCNUJnbDUNUOIsqeObglCbcuPglB72rlJigyd4yrZx858/JjtEEKA7ujRoxuLC8sr5WemBaExipd7bI0Q6nK3Yg9nQai9BreGECIDCgC065cVQyuHtO1nf8K4tuj7twSh/XrU+l8tEOIa5VMZ/GKMjW6lXqu0jSDUXqGjIGTmJkP0WC/01ZTwVUWqIwi1jVrzVskQomw8eHNMJhSE2qs0GUJMSoT6u36Bv80675YglFfPpVIrEUK4W/bgxeqnuyDmbsX0E4RahZIhhOiAqNQgCJXaMuPKVQqEuNZ3cbditRaEWoWSIcQpXCB8xqNraZNcZksQWkb33LkuCSHyzuVuxXQRhFqFkiFEA5k7hknKwqxp+oZSXjBts5xmSxCaRte5U10CQlO4WzHdBKFWoWQIMcOTjmgCPjELgY5p27/ZsdAfQWgh4TNnOxeEpna3YrIIQq1CyRDy4GEo0iBEUrsO0bfF2X5LENpeu5LOnBJCpM3UDxvdYv4ZD9clgiDUqp4MISwemzTIUwRXzIIgZEpMu9YvsG6nL9euH90CRLuObm1XkvYsQajVIhlCnOKtHyDEE4XFA6lNet4tWULz6j1VbrksoS53i32lBEGobYlREGpPOzdShinLU4ULZ+kgCC3dAnny3wVCnOtHt5Z0t2JqCEKtQskQwgpayn9ui9u/JQj1a1NTzDYQstEtRm/pGijB3YppLgi1CiVDiIYtYRSsLfr+LUFovx61/pcKIXO3eG/L3t0qyd2K6S8ItQolQ4iLg1c2pnhXrOvFPzoObVJkW9z+LUGoX5uaYoYgRFwt7lZMc0GoVSgZQjxleGOeyYmYvWz7pU0yfYuLytL0ZwEgzGpcQPz6lMmQgpBXsN7tLgiZu8W1V4u7FWsBQahVKBlCXBxYLH1Lm2T6FoABblxcPuD2+f4nLLDYkKog5BWsd9sgZO4WD7wa3a1YCwhCrUL77/52/4u2uDj6QNDlTr0ogYEdIYQY8ic/C1hCYR586P706dN7y1VXXdV8+MMfbn7605/uLQ8++GDz6KOPrma58847N9+hWVOdfF3uu+++jdXLVzu5Jt7xjnc011133Wraz9f1G9/4xuYB7PetbfvkyZN5P3QPBPw8IQME613nCYUQ4snnA/mGeT/55JONX66++urmE5/4xKZheYqy/PGPf2z+9re/rWZ54IEHNjBeU52oC7+u8c53vnMDnksvvbT54Ac/2PBzMWurp6/Prbfe2jD51O9b2zbWXtaf/OmDEPsxmXcJIYRwv3wAQIzODQW5Y0PqlBfHQ4JP94ajW+aOlVfivCWSO9bqmeSOYekAir4lBog2u+6tEELkx0VqgT6i0B2zOFsLQqZEuWvceUa3zN3qmkwoCJXbfmNLNslP/oQu0dhC9R0fQohOaZ6SBBsp6zvX9gtCpkR5a36BAuDQzrHRLUGovPbbtkTZIbRtQVLO6+pTojMat4zFW0V96QlCfcoss9/crbGjW4LQMu01Ra5VQSiHAIJQDhV3SyPF3YrlIAjFFKonXhCqp62SS1rqpzxwt3J9KkMQSr4cij9QECq+icYXsCQIbetuxWotCMUUqid+Mghx8fHki41WzS2V3LHpFTd3i85lOpm7Rrd2LYUgtKuC5Zw/CYToLGZeh73XRXWBEv8vHQSh6VrAu1sMFDAlA1hMEQShKVRdJs3sEAI2XIBcJOEM5nCIfYkqC0J5VQ/dLR5A7Js6CEJTKzxf+tkh5MHjt6lS+JrFfNVscxKEWi223cLdwsrxkwmn+HTLUPkEoSF16orLDiH7WDgyeAjxdBSE5rk4puqYntPdiiklCMUUqic+O4SoOpMK/TeE7Gdy535adjWDLKEuVfr3LeVu9ZfoXIwgFFOonvhJIET1eaWCURGAlPJO11ySCUJxpbtGt0p4gPiSC0Jejbq3J4NQqbIIQv0tU5K71V/KczGCUEyheuKzQ4h5QV0fuueiwTJaOghC+1sAd4v2sne35hrd2l+K8f8JQuM1K/WM7BDyndFhpTVEHyoyzf+xjukSRrd2rbkgtKuC5ZyfHUL0BfE07Qq5IYTVRZq2dL1lH5bjIFtCuFv2gwFTTyYMdc/9vyCUW9Hl0ssOIZ6yzIwOX9cATCmQGCMFwMPyGhMOGoRoB765VJu7FWtTQSimUD3x2SFE1RlJYU4QFgq/Qc8aAAGonGHI9bN8nnnmmcYvb3rTm5rPfOYz+747zTeo//Of/6xm4SP+H/rQhzYPA7S/5pprmuPHj6+mfrTV3//+980PFayp3brqwr309NNPr6rtwnr+7Gc/y/uNabv5WfMUZplqGj8QAnK4GDztu/Lh1zYeeeSRvYXj3/e+9zUnTpzYW37yk5/s/YCi/ZBibes77rij+dSnPrUHfWYzf/SjH23YX1tdUspLm91yyy2rrJuvPx/35x7y+9a2fezYsekg5IE0xTYmOYsBDzcwZm2tzR3rcrcAz6lTp6aQvJg05Y4V0xQ7F2Qyd8zPmPbbO5d4IIGUSZFrgBCgPXLkyJ67xdQHP5kwNjo2IGE1UYJQNU0VLWh2COES0R/EC47mjvl1tEQ7HJDynelaIcRNlzq6JQjtcBEVdqp+8qdtkKSf/OFw+mn6hujb5PJsYfnwXhpWAdZWSr61Qci7W7ib1DHmcgpCea6vElIRhNpWSIYQFtDYYfM2m/FbZmV1dUp3pVYDhMzdsk9lAFvvbnXVy+8ThLwadW8LQm37JUMItwG3KPa0bpOed6tUCKEb856w6BhWR0P+Z//YIAiNVazc4wWhtm2SIQR87Aluw+dzdUy3xe3fKg1C27hb/bU7FyMIxRSqJ14QatsqGUI8uc1F6lq3SS6zVQKEzN2ijwerZ6y7FVNOEIopVE+8INS2VTKE2lPK3FoKQsA5HN3a1t2KKSsIxRSqJ14QattqFIS44fpmdbZJLrM1N4SmcLdiyglCMYXqiReE2rZKhhAA4mVJOlZxN1h4bwy3I2UIvc1ymq05IGTulvWN5Xa3YsoIQjGF6okXhNq2SoYQLgY3HcG/YMoQs+1vk51/ayoIzeluxVQThGIK1RMvCLVtlQwhDx5cET9nCKto6ZAbQtQRuGL9Ub+UyYRTayAITa3wfOkLQq3WyRDC4rHPuDKB0H9DaC0Qwt1ipjb1mWJ0q5V9uy1BaDvdSjxLEGpbJRlCnOKtHyDEfCEWD6Q26Xm3trWEzN2iHrtOJpy6xoLQ1ArPl74g1Go9CkLtac1mxi/9RFP+LrnPL7Y9FkK333775ltFgKcUdytWR0EoplA98YJQ21bJEMJVoZ+kKwCipUMKhMzdWmp0a1eNHnrooeauu+7aNZmizz979mxz2223FV3GHIXji5j/+9//ciRVbBo/+MEPmjNnzkTLlwyhsDPap8yw/dKhD0I1uVsxDQ8KhG699daYFNXH33TTTdVCiId5yoTckydP5oMQfUF8ZpV3xfi8hl/oyC3xt+hrdLdid5YgFFOonviaIYTKQIiujGuvvXbzxgAP+zBkhRDulk1SpBPaLwxjp35uIyxkzv+xhD796U9vRrdqdbdieghCMYXqia8dQihtIAJGXUDKCiEyNBNsqWa+8sorm6HlwgsvbM4///zmoosuai699NLm8ssvHzx+KK1S4175yldu6lZq+XKUiwfIJZdcsrq2C7VZSx1f/vKXbwBkILL1oUOHmi984Qv53DEDT2hy0U/Eu2RzBDq56MzrW17zmtc0733ve3vj+86raf9XvvKVzWhkTWUeW1aertdff/2q2xFN6NLg1yjG6lPS8Vhzr3jFKzYQuuCCCzbrV7/61ZtrFKPlscceS/puVnLHdDhBkRnEDG3jph2Ud8fmgO1QHv/4xz+aP/3pT0OHVB/Hb8n99re/rb4esQrcd999zQsvvBA7rNh4DJLXve51G/AAoq43CrJDyL+2QQEwu6AdYeqOafJhxjb58tkMOsl5knjLrG90rNhW3KJggtAWohV6Ss0Q4r7j7QnAM9QfPCmE6Kj2L61OOWMa85z8qCwVxwUESICP0ToLgpApUfdallD57ecf/kOlzQ4hIIDrxdA3L3V6Ak5lCQEgLDAqDeh85YER1piV4yBAiMlta5/gdhDqyI1LPWt2x4bgY3GpbZncJ0TCAAEYAAcLuEreKrL9u65J1yws8u2alQ2EgBHhIEBoV011vhQoUYFREJqzAoDNYGd9T2H+glCoiP6XAvUpEIUQIMANYun7tOsUw/S4eGbldMkKmLwbeBAsIepsYO7SpPZ9do3h8nvXu/Z6heXnuqaO1pUQxq/pf/pvh+5j6hqFEP1AJIRguEd9S07huAD96FtX2tyM3g38zne+0zz88MNdh65iHw1p2q+iQkElaHPqZ6OwTP9Y401qU1qoJ9us1xp4aNKOsTpGIbSUQN7V6ioDDbjmp2VYZ4BrN2oYt8b/6QOMXby119se7LXXo6/8PFQwFmLtWCyEIChTv7tCbH5C1zlr2UfDHoTAhds1GLGmulM/b82vqW7WfljwO0EIivlfWR3azi0gLiDWEBMTrWOaJ8dBBhAaHwQIYfHxEFqrpUsb2q8Yr7GO3Kf2KeidIcTNTyK24AJBbutsAlLsYz1FIB8qQ6OxniqfKco+VZprh5C5nGvsD/LXBPcWltDa2pP2810lO0PIi8ZF0WU6kilPLYV5FFjbRetVMwBx4R6U4Ed411BnOME1agtAgg94MH0huU8Iv67PtyMjhXkUWCuEDEBrtoCoI4sF6ro2CFndbJ3VEsI1wo/1IpLRQRDSBC1hPfREKaF825YBV9uenn69bXolnocLxgOb+4g1XQxrhi5tQP1i3SjJlhAJ4o7x3pi9xc7oFZ3HsUxKvCBUJikgBcpQYBSEKLKZV+ae2chVGdVRKaSAFKhNgdEQqq2CKq8UkAJlKyAIld0+Kp0UWL0CgtDqm1gVlAJlKyAIld0+Kp0UWL0CgtDqm1gVlAJlKyAIld0+Kp0UWL0CgtDqm1gVlAJlKyAIld0+Kt1CCvBmwBRfDF2oOkVnKwgV3Tz5C8fkUl4bmDMwwZXXfmoKlJm3AWLBvigRO07x/QrEVe4/VzEVKMDnIvz7STzh+15EnqI65MerPrXNrE+FkL07Gb5TOYWWa01TEFpryzbN5mXjyy67rDl69OjGteBGYfFuBjeR3++BxTbH9gGEG9Wn1SUlwAs/AUN6nNd1rpXPl8OnO3SulZc0fOAcq4OVOTyG4y1t1qQVWkKWflhuXkSdE+y+bmvYFoTW0Io9deBtdG4k3thmm5sofMKznxeS7Rg+LcGb+vYxOeLZx3kWSAfrhmPsrfCum5rj+ZaMd8UAEvssfc63wHHEkSf7/S/scgzloiwWby9OUx5cTPazkIbFcR6A4GVrqyNr4Gxg4hiO92kfPnx4H4Qot51PHpTfAuWe28W1vNewFoTW0IoDdQBCHiBdEOKmssCNyTn++84GJTuGm9ynyQ0aWjsca2l5QJG2/9/SZF/4y76Uy8pBfuTbdS7HeUsEKAEUgwxx/O/Ppbx2jpWT8yxQZ8pqwW/bPlvb+fa/1uMUaFUed56OrkQBbh4PjC4I2c1oVeIcf0PypDdQ2fnmTrE+cuTIXrylwdqO9fuwJrBKfPp2LNaJTxcLzSwOoBCW09KlvB4w7PcA4zwrv53DPkub+lEuH8KyW7kNbP5YtkOdw3j936+AINSvzSpiwpsjvLlCK4JKc44PnGM3MdvmtrDPL/4ctsO82AcsAABWDe6WwYh9XekCH0JXOfvyYD+AIU0Cayv/Zkewrys+LHtfuS29UGfbr3Vcgf1XW/x4HVGZAuHNEd5cXTf3EISARhjfJ0mYV3gcrhbgIXDsUL8KMDIg+XSAA+XZxhIyMHlLz9IeKrsvtx1PGQyotk/rNAUEoTSdqj0Ki4ObzEJ4c42FEOmQpvXVWFWxoYcAAAGCSURBVLohBNhvgPAujD/O4lmzACRfVkuDNft36RMy4Fh5vfVjfToeIsT3wdbKbWmNAbOdo3WrgCDUarHKLW4mOnzN9ckBIW46+kiwXEiXvpwQSiYmx/mRKnPD7Dxv3ZBuGO/T5VhAxbnkTd0IQMSXhzR8nh44Vq5wn42OWdrk6yFk+Vq5fbnYtv4lS1/rdAUEoXStqj2Smxv4mMXBtgXivKXCfh/P/5zHcWGwdMPz/XHc3N7NIi3SZ+k7byhdO3+oPD5/tsknPL5rn6XNmuB1sLiucofQC/PX/8MKCELD+ig2gwJYKaGblSHZIpKgXqGrV0TBKiqEIFRRY9Va1C6ro9a6hOXGwjLLKYzT/2kKCEJpOukoKSAFJlJAEJpIWCUrBaRAmgKCUJpOOkoKSIGJFBCEJhJWyUoBKZCmgCCUppOOkgJSYCIFBKGJhFWyUkAKpCkgCKXppKOkgBSYSAFBaCJhlawUkAJpCghCaTrpKCkgBSZSQBCaSFglKwWkQJoC/weBt39OvfjLoQAAAABJRU5ErkJggg==[/img][/td][td][img]data:image/png;base64,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[/img][/td][/tr][/table][br]Which graph could represent this situation? Explain how you know.[br]
[size=150]Consider a function [math]q[/math] defined by [math]q\left(x\right)=x^2[/math]. Explain why negative values are not included in the range of [math]q[/math].[/size]
[size=150]Based on past concerts, a band predicts selling [math]600-10p[/math] concert tickets when each ticket is sold at [math]p[/math] dollars.[/size][br][br]Complete the table to find out how many concert tickets the band expects to sell and what revenues it expects to receive at the given ticket prices.
In this model, at what ticket prices will the band earn no revenue at all?[br]
At what ticket prices should the band sell the tickets if it must earn at least 8,000 dollars in revenue to break even (to not lose money) on a given concert. Explain how you know.[br]
A population of bears decreases exponentially.
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[/img][br][br]What is the annual factor of decrease for the bear population? Explain how you know.[br]
Using function notation, represent the relationship between the bear population, [math]b[/math], and the number of years since the population was first measured, [math]t[/math]. That is, find a function, [math]f[/math], so that [math]b=f\left(t\right)[/math].[br]
[size=150]Equations defining functions [math]a[/math], [math]b[/math], [math]c[/math], [math]d[/math], and [math]f[/math] are shown here. [/size][br][br]Select [b]all[/b] the equations that represent exponential functions.
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情報: IM Alg1.6.8 Practice: Equivalent Quadratic Expressions