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Pre-Algebra Name _________________________ Patterns Notes Find the next number in the pattern (1-7.1). 1. 42, 51, 49, 58, 56, _____ 2. 4, 13, 28, 49, _____ 3. 2, 5, 8, 11, ______ 4. 1, 4, 10, 20, ______ 5. 1, 1, 2, 3, 5, 8, ______ Complete the following (1-7.2). 6. ______________Using the chart below, determine the number of diagonals from a single vertex in a 10-sided figure. 7. Triangle Quadrilateral Pentagon Hexagon Sum of interior angles 180 degrees 360 degrees 540 degrees 720 degrees No. of diagonals from one vertex 0 1 2 No. of sides 3 4 5 3 6 ______________The figures below form a pattern. How many dots will be in the fifth figure of the pattern? Complete the following (1-8.1). 8. ______________Bacteria doubles every 15 minutes. If you are cut and 22 bacteria infects you skin, how many bacterium will you have in your cut after one hour? ______________ After two and a half hours? 9. ______________A local restaurant offers a breakfast buffet. The restaurant charges $8 for one person, $16 for two people, $23 for three, $29 for four, and so on. How much does the restaurant charge for seven people? 10. ______________Sally was offered a job in which she was paid $.01 the first day, $.02 the second day, $.04 the third day, $.08 the fourth day, and so on. On which day was Sally first paid more than $100? 11. ______________Lucy washes her clothes at the Laundromat every sixth day. Dezi washes her clothes there ever fifteenth day. If they both was their clothes on the first of May, when will they both wash their clothes on the same day again? 12. _____________ and ____________The bird outside Mr. Hartigan’s window chirps every so many minutes. He first heard it chirp at 9: 08 am, then at 9:25, then at 9:42. If the bird continues to chirp with this pattern, what will be the time of the next two chirps? 13. ______________A series of numbers can be represented by dots arranged in the pattern shown below. If the pattern continues in the same manner, what number is represented by the tenth figure? 14. ______________Elmo sent out 4 cards on Monday, 8 cards on Tuesday, 16 cards on Wednesday, and 28 cards on Thursday. If this pattern continues, how many cards did Elmo send out on Saturday? Complete the following (1-8.2). 15. 2, 6, 18, 54, (what is the 8th number in the sequence) _______ 16. 3, 6, 9, 12, (what are the 10th and 11th numbers in the sequence) _______, _______ 17. 7, 11, 15, 19, (what are the 8th and 9th numbers in the sequence) _______, ________ 18. 3, 7, 15, 31, (what are the 7th and 8th numbers in the sequence) ________, _______