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Name_________________________________________________________ CCSS 8.EE.7 Date __________ Kennel Fees For use after Section 1.3 The prices for boarding a dog at three different kennels is described below. Duke’s Kennels: Charges a flat fee of $40 for manners lesson, $16.25 per day to board the dog, $8.50 per day for play time with the dog Lakeside Kennels: Charges a flat fee of $40 for manners lesson, $15.25 per day to board the dog, $9.50 per day for play time with the dog Sunbrook Kennels: Charges a flat fee of $45.99 for manners lesson, $18 per day to board the dog, $6.75 per day for play time with the dog 1. You board your dog at Duke’s Kennels and pay $163.75. How many days did your dog stay at the kennel? Justify your answer. Assume you get a manners lesson and play time for your dog each day. 2. You board your dog at Lakeside Kennels and pay $213.25. How many days did your dog stay at the kennel? Justify your answer. Assume you get a manners lesson and play time for your dog each day. 3. You board your dog at Sunbrook Kennels and pay $144.99. How many days did your dog stay at the kennel? Justify your answer. Assume you get a manners lesson and play time for your dog each day. 4. After how many days would you pay the same fee to Duke’s Kennels and Lakeside Kennels? Justify your answer. Assume you are paying all of the fees described above. 5. After how many days would you pay the same fee to Lakeside Kennels and Sunbrook Kennels? Justify your answer. Assume you are paying all of the fees described above. Copyright © Big Ideas Learning, LLC All rights reserved. Big Ideas Math Performance Tasks 13 CCSS 8.EE.7 Common Core State Standard 8.EE.7 Solve linear equations in one variable. a. Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers). b. Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. CCSS 8.EE.7 Grading Rubric Answers Score 1. 5 days; Solve the equation 40 + 16.25 x + 8.50 x = 163.75 to get x = 5. 2. 7 days; Solve the equation 40 + 15.25 x + 9.50 x = 213.25 to get x = 7. 3. 4 days; Solve the equation 45.99 + 18 x + 6.75 x = 144.99 to get x = 4. 2 2 2 4. The fee is the same for both kennels no matter how many days your dog stays there. The equation 40 + 16.25 x + 8.50 x = 40 + 15.25 x + 9.50 x has infinitely many solutions. 2 5. Sunbrook will always cost more than Lakeside. The equation 2 40 + 15.25 x + 9.50 x = 45.99 + 18 x + 6.75 x has no solution. Precision 1–3. Student understands how to solve equations with rational number coefficients. 4. Student recognizes when a linear equation has infinitely many solutions. 5. Student recognizes when a linear equation has no solution. Total Points 14 Big Ideas Math Performance Tasks 3 1 1 15 Copyright © Big Ideas Learning, LLC All rights reserved.