Day 60 – November 16

Algebra: Chapter 8 Review

Test on Friday, make sure that your notes are all up-to-date. The Chapter 8 Review Packet for homework is a great prep for the test.

Make sure that you REMEMBER HOW TO GRAPH 2 EQUATIONS OR SUBSTITUTE ONE FOR ANOTHER OR ADD/SUBTRACT 2 EQUATIONS TO SOLVE FOR EITHER X OR Y.

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Algebra 1a: Chapter 3, Lesson 8, page 145.

Solving Equations Involving Absolute Value

The absolute value of a number, `|x|` is its distance from zero on the number line. Remember that the absolute value is always positive. Treat absolute value equations just like those without absolute value and then solve them as normal. At the VERY END, put the absolute value symbols back in and see if the answer has ANOTHER solution.

Remember too, that we cannot have an absolute value be NEGATIVE. In these cases, there is NO SOLUTION. For example:

`|x| + 2 = 12`

`|x| + 2 + (-2) = 12 + (-2)`, we subtract 2 from both sides to isolate the variable, x

`|x| = 10`, we simplify the right side and finally,

`x=10` or `x=-10` are the solutions

This is a good purplemath.com link with examples.

Two of tonight’s homework problems solved by MrE are here! Just click it!

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