# Difference between revisions of "008A Sample Final A, Question 7"

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|<math>x = \frac{11}{3}, -1</math> | |<math>x = \frac{11}{3}, -1</math> | ||

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[[008A Sample Final A|<u>'''Return to Sample Exam</u>''']] | [[008A Sample Final A|<u>'''Return to Sample Exam</u>''']] |

## Latest revision as of 23:53, 25 May 2015

**Question:** Solve

Foundations: |
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1) How do we get to the first key step in solving any function involving absolute value equations? |

2) After this first key step how do we finish solving absolute value equations? |

Answer: |

1) We isolate the absolute value sign, so in this case we isolate . |

2) We create two equations based on whether the expression inside the absolute value is positive or negative. |

Then we solve both equations. |

Solution:

Step 1: |
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Isolate the absolute values. First by adding 7 to both sides, then dividing both sides by 2. |

This leads to |

Step 2: |
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Now we create two equations: and . |

Step 3: |
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Now we solve both equations. The first leads to the solution . The second leads to |

Final Answer: |
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