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Honors Advanced Algebra with Trigonometry
Note Sheet for Homework
Name
#1
_________
Solve the system of equations.
4x + 2y = 12
5x + 3y = 12
4x + 5y - 2z = -7
-4x + y + z = -2
x - y + 3z = 11
#4
•
•
•
•
Date
#2
Solve by graphing.
#3
#5
Define the variable
Set up a system of equations
Solve
Answer the problem
One group of customers at a snack bar
bought 8 cheeseburgers, 6 orders of fries,
and 6 drinks for a total of $26.10. Another
group bought 10 cheeseburgers, 6 orders
of fries, and 8 drinks for a total of $31.30. A
third group bought 3 cheeseburgers, 2
orders of fries, and 4 drinks for a total of
$10.95. Find the price of each item.
•
•
•
•
Define the variable
Set up a system of equations
Solve
Answer the problem
A restaurant manager wants to purchase 200
sets of dishes. One design costs $25 per
set and another design costs $45 per set.
Her total budget for buying dishes is $7400.
How many sets of each design should she
purchase?
Homework #5: Worksheet
Name_________________________
Homework (HAAw/trig)
#5
Date___________Period__________
1-2 Solve each system using substitution.
1.
y = 6 - 2x
y - 4x = 12
2.
y = 9x
6x - y = -2
4.
2x - 4y = 2
x + 2y = -7
3-4 Solve each system using elimination.
3.
4x - y = 6
2x + y = -3
5-8 Solve each system using substitution or elimination (your choice).
5.
1
x + 3y = 9
2
1
x - 4y = -5
2
6.
1
3
x - y = -5
3
2
€
€
x + 2y = 11
€
€
7.
1
x + 2y = 1
2
1
x - y = 11
2
8.
x=6-
1
y
2
x - 2y = 16
€
€
€
9-10 Solve the following application problems using a system of equations. Be sure to
represent the unknown (3 variables), set up a system of 3 equations, solve, and
answer the problem.
9.
The sum of three integers is 39. Twice the smallest integer decreased by 1 equals the
largest integer. The middle number increased by 4 equals the largest also. Find all
three integers.
Define the variable
10.
answer
The perimeter of a triangle is 40 inches. Twice the smallest side increased by 1 equals
the largest side. Two less than the largest side equals the middle-sized side.
Find all three sides.
Define the variable
11.
set up system of eqns / solve
set up system of eqns / solve
Solve for x, y, and z:
x + y + z = 15
x + z = 12
y + z = 10
answer
12-13
Solve by graphing. Be sure to name at least 2 points on
each line and use a straight edge.
12.
€
y=
2
x+5
3
3
y = − x + 18
2
€
13.
4x + 7y = 18
6x - 3y = 0
14-16
Use the set of data to answer the following problems.
Cable TV Subscribers
1980 1985 1990 1995 2000
x = Year
y = Millions of Subscribers 17.5 35.4 50.5
14.
60.6
66.3
Find the linear regression equation to show how the year and the number of subscribers
are related. (Round to the nearest hundredth.)
14.____________________
15.
Graph the scatter plot and the linear regression line on the graph below. Name 2 points
on the line whose x-values are 1975 and 2005. Use a straight edge.
y
70
Millions of Subscribers
60
50
40
30
20
10
1975
1980 1985 1990
1995
2000 2005
x
Year
16.
Based on the linear regression equation, how many cable subscribers will
there be in 2015? (Round to the nearest hundredth.)
16.____________________
Solutions
#5
Homework
2
, 6)
3
Solutions
3.
(
1
, -4)
2
4.
(-3, -2)
7.
(10, -2)
8.
(8, -4)
11.
(5, 3, 7)
1.
(-1, 8)
2.
(
5.
(6, 2)
6.
(3, 4)
9.
(17, 13, 9)
10.
8 inches, 15 inches, 17 inches
12.
(6, 9)
13.
(1, 2)
16.
107.46 million subscribers
14.
y = 2.46x - 4841.38
15.
y
(2005, 82.9)
70
Millions of Subscribers
60
50
40
30
20
10
(1975, 9.22)
1975
1980 1985 1990
Year
1995
2000 2005
x