Download Algebra l – Chapter 3

Algebra l – Chapter 3
Linear Equations
Warm-up
Find the next 5 values in the list
and explain the pattern.
-2, 1, 4, 7, …
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
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,___ …
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
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.
Homework
#28 3.1 Page 161
1 - 4, 9a, 9b, 11, 12
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,
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.
Homework
#29 3.2 Page 168
(1 - 3, 5, 7a, 11a)
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?
Warm-up Solutions
Start  4.2mi
Rate  0.15mi / min
Routine : ANS  0.15
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.
Minutes Miles from
Home
0
1
2
…
5
10
20
25
27
28
4.2
4.05
3.9
3.45
2.7
1.2
0.45
0.15
0