Algebra II: Math 65
Introductory and Intermediate Algebra for College Students (Custom Edition for LCC)
Robert Blitzer
Chapter 4: Systems of Linear Equations
4.1 Solving Systems of Linear Equations by Graphing
Decide whether an ordered pair is a solution of a linear system
Solve systems of linear equations by graphing
Use graphing to identify systems with no solution or infinitely many solutions
Testing a solution for a system of equations
Use graphs of linear systems to solve problems
Graphical systems Application Problem
4.2 Solving Systems of Linear Equations by the Substitution Method
Solve linear systems by the substitution method
Practice using substitution for systems
Substitution Method Examples 1
Solving Systems by Substitution 2
Solving Systems by Substitution 3
Use the substitution method to identify systems with no solution or infinitely many solutions
Solving Systems by Substitution 1
Substitution Method Examples 2
Solve problems using the substitution method
Talking bird solves systems with substitution
Substitution Method Examples 3
4.3 Solving Systems of Linear Equations by the Addition (Elimination) Method
Solve linear systems by the addition method
Solving Systems by Elimination 1
Solving Systems by Elimination 2
Use the addition method to identify systems with no solution or infinitely many solutions
Solving Systems by Elimination 3
4.4 Problem Solving Using Systems of Equations
Solve simple interest problems
Solve mixture problems
4.5 Systems of Linear Equations in Three Variables
Verify the solution of a system of linear equations in three variables
Solutions to a Three Variable System
Solve systems of linear equations in three variables
Solving a 3-variable System Using Elimination by Addition 1
Solving a 3-variable System Using Elimination by Addition 2
Solving a 3-variable System Using Elimination by Addition 3
Identify inconsistent and dependent systems
Using Elimination by Addition for Inconsistent Systems 1
Using Elimination by Addition for Inconsistent Systems 2
Using Elimination by Addition for Inconsistent Systems 3
Solving a Dependent System of Linear Equations Involving 3 Variables
Solve problems using systems in three variables
Three Equation Application Problem
Chapter 5: Exponents and Polynomials
5.1 Adding and Subtracting Polynomials
Understand the vocabulary used to describe polynomials
Terms coefficients and exponents in a polynomial
Evaluating a polynomial at a given value
Add polynomials
Adding polynomials with multiple variables
Adding and Subtracting Polynomials 1
Adding and Subtracting Polynomials 2
Adding and Subtracting Polynomials 3
Subtract polynomials
Subtracting polynomials with multiple variables
Graph equations defined by polynomials of degree 2
Roots and vertex of a parabola
Parabola vertex and axis of symmetry
5.2 Multiplying Polynomials
Multiply monomials
Multiply a monomial and a polynomial
Multiplying monomials by polynomials
5.3 Special Products
Multiply the sum and difference of two terms
Special Products of Polynomials 1
Special Products of Polynomials 2
5.4 Polynomials in Several Variables
Add and subtract polynomials in several variables
Subtracting Polynomials with Multiple Variables
5.5 Dividing Polynomials
Divide monomials
Divide a polynomial by a monomial
Polynomial Divided by a Monomial
Dividing Polynomials with Remainders