Unit 6

Systems of Equations and Inequalities

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Solving Equations and Inequalities
Essential Question: How can you solve a system of equations or inequalities?

Modeling
Essential Question: Can systems of equations model real-world situations?
   

 

Desmos.com Graphing Calculator

Shodor.com Graphing Calculator

Lesson/Objective Supplemental Lessons On-line Practice Suggested
Homework
6-1  Solving Systems by Graphing

Objective:  To solve systems of equations by graphing. To analyze special systems.

Essential Understandings: 
You can use systems of equations to model problems. Systems of equations can be solved in more than one way. One method is to graph each equation and find the point of intersection, if it exists.
 


Video Tutors

Solving and interpreting a system of linear equations by graphing

Interpreting solutions of systems of linear equations

Analyzing special types of linear systems
 


self-check quiz

Solve It!

Additional
PROBLEMS

Enrich!

hw#6-1
pg 367 #1-10, 17-20

Ticket In:
Can Graphs Tell a Story?

Graphing Systems Packet/Worksheet

See the current MathChamber Blog for specific hw assignments and due dates

 

6-2  Solving Systems Using Substitution

Objective:  To solve systems of equations using the substitution method.

Essential Understandings: 
Systems of equations can be solved in more than one way. When a system has at least one equation that can be solved quickly for a variable, the system can be solved efficiently using the substitution method.
 


Video Tutors

Solving linear systems using substitution

Solving linear systems for real-world situations using substitution
 


self-check quiz

Solve It!

Additional
PROBLEMS

Enrich!
 

hw#6-2

pg 375 #11-25 Odd

Complete Problem Set 6A

6-3  Solving Systems Using Elimination

Objective:  To solve systems by adding or subtracting to eliminate a variable

Essential Understandings: 
There is more than one way to solve a system of equations algebraically. Some systems are written in a way that makes eliminating a variable a good method to use.

 


Video Tutors

Solving linear systems using elimination, adding

Solving linear systems using elimination, multiplying first
 


self-check quiz

Solve It!

Additional
PROBLEMS

Enrich!
 

hw#6-3
pg 382 #7-19 ODD & #27

Complete Problem Set 6B

6-4  Applications of Linear Systems

Objective: To choose the best method for solving a system of linear equations

Essential Understandings: 
You can solve systems of equations using a graph, the substitution method, or the elimination method. The best method to use depends on the forms of the given equations and how precise the solution should be.
 

Video Tutors

Writing and solving linear systems

Finding a break even point
 


self-check quiz

Solve It!

Additional
PROBLEMS

Enrich!
 

 

hw#6-4

Complete Problem Set D

Complete Problem Set C ANSWER KEY included!

pg 368-369 #23,25,27,29,35,37
 Solve these six problems ALGEBRAICALLY
(not by graphing) 

      hw#6-Q

pg 383 #33-39 Odd
pg 390-391 #9,13,23
pg 393 Mid-Chapter Quiz (at least #1-11 Odd and 13-16 All)

Complete Problem Set E

QUIZ on sections 6-1 thru 6-4 
TBA

6-5  Linear Inequalities

Objective: To graph linear inequalities in two variables. To use linear inequalities when modeling real-world problems

Essential Understandings: 
A linear inequality in two variables has an infinite number of solutions. These solutions can be represented in the coordinate plane as the set of all points on one side of a boundary line.
 

Video Tutors

Modeling real-world situations using linear inequalities
 


self-check quiz

Solve It!

Additional
PROBLEMS

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hw#6-5
Read pg 394-397
pg 397 #1-7 All
pg 397-398 #9-31 Odd
6-6  Systems of Linear Inequalities

Objective: To solve systems of linear inequalities by graphing. To model real world situations using systems of linear inequalities.

Essential Understandings: 
You can graph the solutions to a system of linear inequalities in the coordinate plane. The graph of the system is the region where the graphs of the individual inequalities overlap. 

 

Video Tutors

Graphing systems of linear inequalities

Writing a system of linear inequalities

Using a system of linear inequalities
 


self-check quiz

Solve It!

Additional
PROBLEMS

Enrich!

 

hw#6-6

pg 403 #7,9,11,17,27

Complete Problem Set 6F

UNIT TEST REVIEW UNIT 6 EXTRA PRACTICE

Answer Key

CUMULATIVE REVIEW 1-6

hw#6-R

Complete Problem Set 6R
 

UNIT 6 TEST: 
TBA