# GPS Advanced Algebra A+B

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## Matrices and Inequalities (Unit 1)

Adding and Subtracting Matrices

Scalar Multiplication of Matrices

Multiplying 2X2 Matrices

Multiplying 3X3 Matrices

Find Determinant of a 2X2 Matrix

Find Determinant of a 3X3 Matrix

Find Inverse of a 2X2 Matrix

Find Inverse of a 3X3 Matrix

Using Cramer's Rule with a 2X2 Matrix

Using Cramer's Rule with a 3X3 Matrix

## Logarithms and Exponents Links (Unit 3)

Condensing Logrithmic Expressions

Log Tables

Expanding Logrithmic Expressions

Vertical and Horizontal Asymptotes

Converting Exponential to Logarithmic Form and Vice Versa

What is a Logarithm?

How to Find the Inverse of a Logarithm

Simplifying High-order Root Equations

Change of Base Formula

Sum of Logarithms with Sum Base

Expanding and Compressing Logarithms

Solving Equations with Logarithms

Properties of Logarithms

Graphing Logarithms

Exponential Function Transform Equation Ex

## Unit 4 Conic Sections

Conic Sections: Intro to Circles

Conic Sections: The Circle

Ellipse: Solve the equation using the Foci

Parabola Focus and Directrix 1

Find the Focus and Directrix of Parabola

Find Equation of Parabola Given Directrix

Real Life Applications of Parabolas

Equation of a Parabola

Conic Sections: Parabolas

Solve the Equation of Hyberbola with Foci and Vertices