Algebra Unit 4 Day 12 Solving Word Problems Involving Systems Day 3.notebook. January 04, 2017
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1 Algebra I 01/04/17 Systems Word Problem Quiz on Friday DO NOW One day, Mrs. Rubero paid $16.50 for 4 pounds of brown rice and 3 pounds of white rice. The next day, she paid $12.00 for 3 pounds of brown rice and 2 pounds of white rice. If the prices were the same on each day, find the price per pound for each type of rice. 1
2 One day, Mrs. Rubero paid $16.50 for 4 pounds of brown rice and 3 pounds of white rice. The next day, she paid $12.00 for 3 pounds of brown rice and 2 pounds of white rice. If the prices were the same on each day, find the price per pound for each type of rice. 2
3 If You Haven't Done So Already... Turn in Your Winter Break Packet 3
4 Ex. 1 REGENTS STYLE An animal shelter spends $2.35 per day to care for each cat and $5.50 per day to care for each dog. Pat noticed that the shelter spent $89.50 caring cats and dogs on Wednesday. Write an equation to represent the possible numbers of cats and dogs that could have been at the shelter on Wednesday. Pat said that there might have been 8 cats and 14 dogs at the shelter on Wednesday. Are Pat's numbers possible? Use your equation to justify your answer. 4
5 REGENTS STYLE Ex. 1 Continued Later, Pat found a record showing that there were a total of 22 cats and dogs at the shelter on Wednesday. How many cats were there at the shelter on Wednesday? Hint: Write a second equation and solve the system 5
6 Ex. 1 REGENTS RUBRIC 6
7 REGENTS RUBRIC Ex. 1 Continued 7
8 Systems Word Problem Quiz on Friday Ex. 2 REGENTS STYLE Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacob spends a total of $18.25 on two bags of popcorn and three drinks. Zachary spends a total of $27.50 for four bags of popcorn and two drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations determine and state the price of a bag of popcorn and the price of a drink to the nearest cent. 8
9 Ex. 2 REGENTS STYLE Jacob and Zachary go to the movie theater and purchase refreshments for their friends. Jacob spends a total of $18.25 on two bags of popcorn and three drinks. Zachary spends a total of $27.50 for four bags of popcorn and two drinks. Write a system of equations that can be used to find the price of one bag of popcorn and the price of one drink. Using these equations determine and state the price of a bag of popcorn and the price of a drink to the nearest cent. 9
10 Ex. 2 REGENTS RUBRIC 10
11 Systems Word Problem Quiz on Friday What tips/advice would you give to a peer to maximize their points on a system of equations question on the Regents exam? 11
12 Systems Word Problem Quiz on Friday Exit Slip Complete the graphic organizer to solve the following problem: Alexandra purchases two doughnuts and three cookies at a doughnut shop and is charged $3.30. Briana purchases five doughnuts and two cookies at the same shop for $4.95. All the doughnuts have the same price and all the cookies have the same price. Find the cost of one doughnut and find the cost of one cookie. 12
13 Exit Slip 13
14 Exit Slip 14
15 Systems Word Problem Quiz on Friday Get a head start on your Homework!!! mathsims.wordpress.com Lesson Slides, Resources and More! 15
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