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Algebra l – Chapter 3 Linear Equations. Warm-up Find the next 5 values in the list and explain the pattern. -2, 1, 4, 7, …

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Presentation on theme: "Algebra l – Chapter 3 Linear Equations. Warm-up Find the next 5 values in the list and explain the pattern. -2, 1, 4, 7, …"— Presentation transcript:

1 Algebra l – Chapter 3 Linear Equations

2 Warm-up Find the next 5 values in the list and explain the pattern. -2, 1, 4, 7, …

3 3.1Notes Recursive Sequence: An ordered list of numbers. – Initial value: Starting number. – Routine: Rule to get other values. – Term: Each number in the sequence

4 Find each missing value and write a routine to find the next term in each sequence. A) 7, 12, 17, ___, 27, ___, ___, 42, ___ … B) 5, 1, – 3, ___, –11, –15,___, ___,–27… C) –7,___, –29, ___, –51, –62, ___,–84… D) 2, –4, 8, –16, 32, ___, 128, –256,___ …

5 Linear Relationship: A correspondence between two variables that form a line when graphed. Examples 1.Distance and Time = speed 2.Paycheck and Time = pay rate

6 Annette started her own business raking lawns in her neighborhood. With bags and tools, she charges $8.75 per lawn. 1.Write a routine to find the earnings after raking any number of lawns. 2.Create a table of the earnings from the first 10 lawns. 3.Graph the table.(X-axis = lawns,y-axis= $) 4.Estimate number of lawns needed to save $99.95 for a new graphing calculator.

7 Homework #28 3.1 Page 161 1 - 4, 9a, 9b, 11, 12

8 3.2 Warm-up Write a recursive routine to generate each sequence. Identify the starting value. Use the routine to find the next 5 terms. 1)1, -3, 9, -27, 2) -30, -18, -6, 6,

9 3.2 Investigation: “On the Road Again” 1.Read investigation steps 1-5 on page 167. 2.In your notes: Write a recursive routine for each vehicle. (Rate of travel) 3.Write a DIRECT equation for each car. 4.Complete table and graph. (Use a different color for each vehicle on the graph.) 5.List and answer your group’s assigned question in your notes. Reporters: Prepare to share your group’s response.

10 Homework #29 3.2 Page 168 (1 - 3, 5, 7a, 11a)

11 Warm-up Leo lives 4.2 miles from his friend’s house. It is 4:35pm and he needs to get home by 5:00pm. He bikes constantly at 9 mph. Question: Will Leo make it home on time? 1.Write a recursive routine. 2.Create a table and graph the data. 3.Is Leo early or late? By how much? 4.How fast must he travel to get home by 4:50?

12 Warm-up Solutions Answer: Leo will be home on time, with 2 minutes to spare. Also, Leo must travel at 12.6 mph to be home by 4:50 pm. MinutesMiles from Home 04.2 14.05 23.9 … 53.45 102.7 201.2 250.45 270.15 280


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