LINR 2|Lesson 1| Practice Absolute Value Solutions

1.  $$|2x – 7| + 3 = 8$$

$$|2x – 7| = 5$$

$$2x – 7 = 5$$ or $$2x – 7 = -5$$ ; $$x = 6$$ or $$x = 1$$

2.  $$|3x + 2| – 2 = 12$$

$$|3x + 2| = 14$$

$$3x + 2 = 14$$ or $$3x + 2 = -14$$; $$x = 4$$ or $$x = \frac{-16}{3}$$

3.  $$2 – |x + 3| = -7$$

$$-|x + 3| = – 9$$ or $$|x + 3| = 9$$ ; $$x = 6$$ or $$x = -12$$

4.  $$1 – |3x -2| = 10$$

$$-|3x – 2| | = 9$$ or $$|3x – 2| = -9|$$;  no solution

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