Warm up ( 5 minutes) A number: {a variable x,y,…}
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Warm up ( 5 minutes)A number: {a variable x,y,…}
Announcements1.- Integration of the Princeton
Review Algebra-2-AP
VMHS
CONTENT TABLE
DATE ENTRY PAGE #
AUGUST, 31st, 2015
• ABSOLUTE VALUE.• DISJUNCTION NOTATION• ABSOLUTE VALUE
EQUATION
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SEPTEMBER 1st
• SET BUILDER NOTATION • DISJUNCTION• CONJUCTION• ABSOLUTE VALUE• TI-nspire Graphing AV
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Absolute Value
DISJUNCTION ?
Solve the equation and translate to verbal expression?
Example : Solving Absolute-Value Equations
Rewrite the absolute value as a disjunction.
This can be read as “the distance from k to –3 is 10.”
Add 3 to both sides of each equation.
|–3 + k| = 10
–3 + k = 10 or
–3 + k = –10
k = 13 or k = –7
Solve the equation.
Example Solving Absolute-Value Equations
x = 16 or x = –16
Isolate the absolute-value expression.
Rewrite the absolute value as a disjunction.
Multiply both sides of each equation by 4.
Check It Out! Example
|x + 9| = 13
Solve the equation.
Rewrite the absolute value as a disjunction.
This can be read as “the distance from x to +9 is 13.”
Subtract 9 from both sides of each equation.
x + 9 = 13 or x + 9 = –13
x = 4 or x = –22
Check It Out! Example
|6x| – 8 = 22
Solve the equation.
Isolate the absolute-value expression.
Rewrite the absolute value as a disjunction. Divide both sides of each equation by 6.
|6x| = 30
6x = 30 or 6x = –30
x = 5 or x = –5
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