Algebra II A – Guided Notes Name ________________________________ Chapter 1 Period ______________ Notes 1-4 Learning Matrix Goal #7: I can evaluate expressions involving absolute values. Learning Matrix Goal #8: I can solve absolute value equations. How can an absolute value equation describe the magnitude of an earthquake? In the absolute value equation |E – 6.1|= 0.3, what does the variable E represent? (So what does E stand for?) What is the meaning of the number 0.3 in the equation? What would the equation be for the magnitude of an earthquake estimated at 5.8 on the Richter scale? Define Absolute Value in your own words: ________________________________________________

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Key Concept Absolute Value Words Symbols Model

Example 1 Evaluate an Expression with Absolute Value Evaluate 1.4 + |5y – 7 | if y = -3 Your Turn Evaluate 2.7 + |6 – 2x| if x = 4 Now take notes from Khan Academy. Open the Khan Academy app (the icon is a hand with

green leaves coming out). You can download Khan Academy videos to your iPad so you can watch them when you do not have Internet. (Ask me and I can show you how.) Go to Math Then Algebra Then Linear Equations Then Absolute Value Equations Then watch the first video called Absolute Value Equations(that exact title) Take notes here. (1:05) |x – 5| = 10

(2:48) |x + 2| = 6 (4:17) |4x – 1| = 19 Stop Khan Academy notes at 5:53 Example 2 Solve an Absolute Value Equation (from book) Solve |x – 18| = 5. Check your solutions. – Draw the graph to help you understand! Your Turn Solve |y + 3| = 8. Check your solutions.

Now take notes from Khan Academy. Go to Math Then Algebra Then Linear Equations Then Absolute Value Equations Then watch the video called Absolute Value Equation Example 2 (that exact title) 5|x + 3| - 3 = 7

Your Turn Solve 3|x – 5| = 2x. Check your solutions.

Define Empty Set in your own words (textbook will help): Symbolized by: _________ OR _______

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Example 3 No Solution (from textbook) Solve |5x – 6| + 9 = 0

Your Turn Solve |6 – 4t| + 5 = 0

Now take notes from Khan Academy. Go to Math Then Algebra Then Linear Equations Then Absolute Value Equations Then watch video called Absolute Value Equations 1 (that exact title)

|3x – 9| = 0

Example 4 One Solution (from textbook) Solve |x + 6| = 3x – 2 Check your solutions. Your Turn Solve |8 + y| = 2y – 3 Check your solutions.

Now complete page 30 # 1-3, 14-16, 17-45 odd, 46 on a separate sheet of paper. When assignment is complete, you should check your solutions (get them from the solutions folder). Mark correct problems with a star. Mark incorrect problems with an X and them make corrections on the problems that you had incorrect.