6.6 #37
An animal shelter mixes two brands of dog food into one to create a specialized dog food which
they sell.
There are two units of nutritional element A in brand X and one unit of nutritional element A in
brand Y. The minimum required amount of nutr
Int Alg Chapter 6
Solving Systems of Equations and Inequalities
Methods for Solving Systems
We are answering the question: Where do these curves/lines intersect?
We can do so in several different way:
1. Graphically (6.1)
2. Substitution (6.1)
3. Eliminat
Chapter 6 Practice Test Questions
1. Solve by graphing.
3. Solve with substitution.
4y = 3x - 6
2x + y = 4
3p + q + 2r = 8
p = q -4
r= q+1
2. Solve with substitution.
4. Solve with elimination.
y = 2x 7
y = -3x + 13
4c + d = -7
9c 3d = -42
5. Graph and so
Linear Programming
Alinearprogramming problemisoneinwhichyouwishtofinda
solution to a system of inequalities that minimizes or maximizes a linear
combination ofvariables.
Steps:
1. Write Inequalities
2. Graph Inequalities
3. Find the Vertices of the Feasi
Section 6.2
Elimination
Trytoeliminateavariablebymakingsurethatthexsandysareabove
and below one another. You need to have one amount positive and the
other negative so that when you add, you get a sum of zero. After that,
you need to solve for the remaini
6.1 Day 2 Applications
Hints:
Define your variables
Write equations based on the information given (if you have two
variables you need two equations)
Ex 1) A wise investor never puts all of his eggs in one basket. Conrad
has $50,000 invested in his colleg
Int Alg Chapter 6
Solving Systems of Equations and Inequalities
Methods for Solving Systems
We are answering the question: Where do these curves/lines intersect?
We can do so in several different way:
1. Graphically (6.1)
2. Substitution (6.1)
3. Eliminat
Section 6.6 Linear Programming
The solutiontoasystem oflinearinequalities in two variables is either
the empty set, the interior polygon, or a region bounded by line
segments andrays.
Feasible Set/Feasible Region:_
1
x 6
2
2 x 12
y
Example 1: Consider the
Applications
1) Vertical Motion
s = at2 + v0t + s0
OR
h =- gt2 + v0t + h0
A tennis ball is dropped off the St. Louis Gateway Arch. After 1 second the
ball is 614 feet high. After 2 it is 566 feet high and after 3 seconds 486 feet.
Find g, v0, h0.
2) Curve
Section 6.5 Systems of Inequalities
Steps to Graphing a System of Inequalities
1. Decide
2. Graph
3. Test
4. Shade
Example 1: x > 8
Example 2: y < 3x 5
Example 3: (x 2)2 + (y 1)2 16
6.5 Day 1: #8-20 evens, 33-36,42,44,46
6.5 Day 2: #61-66,75-76,78-79,81
2
Systems of Equations Challenge
There are four local high schools (West Ottawa, Zeeland West,
Holland and Zeeland East) each with a different number of
students in their 2014 graduating class. There are 1415 seniors
in all. There are 160 more at Holland th