Warm up ( 5 minutes)A number: {a variable x,y,…}

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Review Algebra-2-AP

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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