Math Packet



NAME: ____________________________________________ HOUR: ______

ALGEBRAIC SOLUTION TYPES

|SOLUTION TYPE: |EXAMPLES & NOTES: |

|ONE SOLUTION |DEFINITION: A system of equations that intersects at exactly one point on a graph. |

| |SOLVING EQUATIONS: When a single answer equals a variable. This is the standard equation. |

| | |

| |Example: [pic] |

|INFINITELY MANY SOLUTIONS |DEFINITION: A system of linear equations that has two equations that result in the same graph. |

|(Identity) |SOLVING EQUATIONS: When an answer equals its identity (itself). In this situation, an equation can completely cancel out |

| |resulting in 0=0. |

| | |

| |Example: [pic] |

|NO |DEFINITION: A system of linear equations that has two equations with a graph that results in no intersection. |

|SOLUTION |FOR EQUATIONS: When an equation cancels both variable terms and results in two numbers that are unequal. |

| | |

| |Example: [pic] |

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