**Topic 5: Analyze and Solve Systems of Linear Equations**

Standard: MAFS.8.EE.C - Analyze and solve linear equations and pairs of simultaneous linear equations.

## 5-1: Estimate Solutions by Inspections

Objectives:

- I can examine graphs of linear systems of equations to determine the number of solutions, based on number of intersection points.
- I can compare the equations in a linear system to look for a relationship between the number of solutions and the slopes and y-intercepts of the equations.

- How are slopes and y-intercepts related to the number of solutions of a system of linear equations?

- system of linear equations
- solution of a system of linear equations

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## 5-2: Solve Systems by Graphing

Objectives:

- I can create and examine graphs of linear systems of equations to determine the solution.

- How does the graph of a system of linear equations represent its solution?

- none

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## 5-3: Solve Systems by Substitution

Objectives:

- I can understand how substitution can be used to solve a linear system of equations.
- I can apply this understanding to solve a system of linear equations with one solution, no solutions, or infinitely many solutions.

- When is substitution a useful method for solving systems of equations?

- none

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## 5-4: Solve Systems by Elimination

Objectives:

- I can understand how the process of elimination can be used to solve a system of linear equations with no solution, one solution, or infinitely many solutions.
- I can apply this understanding to solve mathematical and real-world problems.

- How are the properties of equality used to solve systems of linear equations?

- none

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