Download Chapter 6: Systems of Linear Equations and

Mrs. Branson
Algebra 1
Chapter 6: Systems of Linear Equations and Inequalities
Chapter Objectives:
Lesson 6.1: Graphing Systems of Equations
 Determine the number of solutions a system of linear equations has, if any
 HW: Pg. 336 # 10–20 Evens and #26, 30
Lesson 6.2: Substitution
 Solve systems of equations by using substitution
 HW: Pg. 345 – 346 #10–26 Evens
Lesson 6.3: Elimination Using Addition and Subtraction
Lesson 6.4: Elimination Using Multiplication
 Solve systems of equations by using elimination with addition, subtraction,
and multiplication
 HW: Pg. 361: Mid Chapter Quiz
Lesson 6.5: Applying Systems of Linear Equations
 Determine the best method for solving systems of equations
 Apply systems of equations
 HW: Pg. 365-366 #6-22 Evens
Lesson 6.6: Organizing Data Using Matrices
 Organize data in matrices
 Perform matrix operations
 HW: Worksheet
Lesson 6.8: Systems of Inequalities
 Graph systems of linear inequalities
 Solve systems of linear inequalities by graphing
Standards:
A.REI.6: Solve systems of linear equations exactly and approximately (e.g. with graphs),
focusing on pairs of linear equations in two variables.
A.REI.7: Solve a simple system consisting of a linear equation and a quadratic equation in two
variables algebraically and graphically. For example, find the points of intersection between y =
-3x and the circle x2 + y2 = 3.
A.REI.5: Prove that given a system of two equations in two variables replacing one equation by
the sum of that equation and a multiple of the other produces a system with the same solutions.
A.REI.8: Represent a system of linear equations as a single matrix equation in a vector
variable.
A.REI.9: Find the inverse of a matrix if it exists and use it to solve systems of linear equations
(using technology for matrices of dimension 3 x 3 or better)