# Algebra 2 Notes February 4, 2009 ```Algebra 2 Notes
February 4, 2009
 Take
5-10 minutes and work on
others around you on problems
you don’t understand.


Reminder: A solution is a point that makes
ALL equations in the system true
LOOK AT PAGE 152
◦ No Solution: No point lies in all three planes
◦ One Solution: The planes intersect at one common
point
◦ Infinite Solutions: The planes intersect at all the
points along a common line


Page 153: solve the following system using
elimination…?
NO! Use Matrix Equations:


REFFER TO THE CHART ON PAGE 156
Suppose you have saved \$3200 from a parttime job and you want to invest your savings
in a growth fund, and income fund, and a
money market fund. Refer to the graph. To
maximize your return, you decide to put
twice as much money in the growth fund as
in the money market fund. How should you
invest your \$3200 to get a return of \$250 in
one year?

Monica has \$1, \$5, and \$10 bills in her wallet
that are worth \$96 total. If she had one more
\$1 bill, she would have just as many \$1 bills
as \$5 and \$10 bills combined. She has 23
bills total. How many of each denomination
does she have?
#1) A change machine contains nickels, dimes,
and quarters. There are 75 coins in the
machine, and the value of the coins is \$7.25.
There are 5 times as many nickels as dimes.
Find the number of coins of each type in the
machine
#2) The sum of three numbers is -2. The sum
of three times the first number, twice the
second number, and third number is 9. The
difference between the second number and
half the third numbers is 10. Find the
numbers.
 Pg157
#1-6, 10, 16, 19,
22-24, 26, 29
```