Algebra II A – Guided Notes
Chapter 1
Notes 1-4
Name ________________________________
Period ______________
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
Words
Symbols
Model
Absolute Value
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.