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 Common Core State Standards for Mathematics
 Lesson 01: Expressions, Equations, and Functions
 Lesson 02: Properties of Real Numbers
 Lesson 03: Solving Linear Equations
 Lesson 04: Graphing Linear Equations and Functions
 Lesson 05: Writing Linear Equations
 Lesson 06: Solving and Graphing Linear Inequalities
 Lesson 07: Systems of Equations and Inequalities
 Lesson 08: Exponents and Exponential Functions
 Lesson 09: Polynomials and Factoring
 Lesson 10: Quadratic Equations and Functions
 Lesson 11: Radicals and Geometry Connections
 Lesson 12: Rational Equations and Functions
 Lesson 13: Basic Probability and Data Analysis
 Lesson 14: Matrices
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Category Archives: Lesson 07: Systems of Equations and Inequalities
Systems Involving Non Linear Equations
As expected, solving systems of linear equations can be extended into systems involving non linear equations such as quadratic equations. Examples of quadratic equations include parabolas, circles, ellipses, and hyperbolas. One important distinction between these systems and the previous linear … Continue reading
3. Solving Systems of Linear Inequalities
The graph of a system of linear inequalities is the intersection of the halfplanes of each inequality of the system. In other words, it will be the double or triple shaded section, depending on the number of equations in the … Continue reading
2. Solving Linear Systems Using Algebra
There are two methods you can use to solve a system of equations algebraically; Substitution and Simultaneously. Substitution To use substitution, first you solve one equation for x or y. You then substitute the equation into the other and solve … Continue reading
1. Solving Linear Systems of Equations by Graphing
The graph of a system of two linear equations tells you how many solutions the system has. If the lines intersect (not necessarily perpendicular), they will have one solution. In this example, the lines are perpendicular and therefore their slopes … Continue reading