### Concept (1)

A system of linear equations is two or more equations that contain the same variables. A solutions to a system of equations are the point where the lines intersect. There are four methods to solving **systems of linear equations**: graphing, substitution, elimination and matrices. Solving systems of equations first shows up in Algebra I, but more complex applications occur in Algebra II.

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Sample Problems
(18)

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###### Problem 4

Strategies for when and how to use substitution to solve a 2 x 2 system of equations.

###### Problem 5

Strategies for when and how to use graphing to solve a 2 x 2 system of equations.

###### Problem 6

Strategies for how and when to use elimination to solve a 2 x 2 system of equations.

###### Problem 7

How to use a TI graphing calculator to solve a 2 x 2 system of linear equations graphically.

###### Problem 8

Overview of solving word problems using a 2 variable system of equations.

###### Problem 9

How to choose a method for solving a 2 x 2 system of linear equations.

###### Problem 10

Vocabulary and special cases of 2 x 2 systems including inconsistent, dependent, consistent, infinite solutions, and no solutions.

###### Problem 11

Solving mixture word problems using a 2 x 2 system of equations.

###### Problem 12

Solving word problems with a starting amount and fixed change using a 2 x 2 system of equations.

###### Problem 13

Solving coin word problems using a 2 x 2 system of equations.

###### Problem 14

Solving rate word problems, including water and air current, using a 2 x 2 system of equations.

###### Problem 15

Linear programming or using a system of linear inequalities to maximize or minimize an objective function.

###### Problem 16

Solving a digits word problem using a 2 x 2 system of equations.

###### Problem 17

Solving a system of equations with a line and a parabola graphically and using substitution.

###### Problem 18

Solving a work, or shared job word problem using a 2 x 2 system of equations.