SOLVING ABSOLUTE VALUE EQUATIONS

Presentation

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Mathematics

•

10th - 12th Grade

•

Practice Problem

•

Medium

•

CCSS

6.NS.C.7C, 6.EE.B.5, 6.NS.C.7

Standards-aligned

Amber Drake

Used 100+ times

FREE Resource

7 Slides • 10 Questions

SOLVING ABSOLUTE VALUE EQUATIONS

Copy ALL these notes down to be uploaded later.

Absolute Value is the distance from zero.

**ALWAYS POSITIVE**

Distance is NEVER negative (for example: when you travel, you always travel in positive miles... you NEVER say " I went negative 5 miles back home.)

Multiple Choice

What is the reason that absolute value is always written as a positive?

Absolute value is talking about numbers so it must be positive.

Absolute value does not always have to be positive.

Absolute value is like a clock it has only positive numbers.

Absolute value is talking about distance, distance is always measured by positive numbers.

Multiple Choice

What is the absolute value of |-26|.

-26

-20

Multiple Choice

What is the absolute value of |6|.

-6

undefined

Multiple Choice

What is the absolute value of |0|.

-6

undefined

EXAMPLE #1:

Evaluate the following if n= - 15/2 and p=3.
$\left|2n-p\right|+4$
Watch video for full explanation.
NO Decimals; only fraction answers

EXAMPLE #2:

Evaluate the following if n= - 15/2 and p=3.
$-\left|p^3\right|-n$
Watch video for full explanation.
NO Decimals; only fraction answers

SOLVING AN ABSOLUTE VALUE EQUATION

STEP 1: Get absolute value on one side of equal sign by itself.
STEP 2: Split into 2 equations (one for positive answer and one for negative)
STEP 3: Solve each of the equations.
STEP 4: Write answer in set notation.
(next slide/video walks you through these steps)

Multiple Choice

∣ 2x + 9 ∣ = 15

{3}

{ -6,3}

{ -12,3}

{ -12,6}

Multiple Choice

−2|−2r − 4| = -12

{5,1}

{-5,1}

{-5}

No Solution

Multiple Choice

3| −8x| + 8 = 80

{-7/3, 7/3}

{-3,3}

{11/3,-11/3}

No Solution

Get Absolute Value by itself and then watch video.

$\left|3x-2\right|+8=1$

Multiple Choice

|−2n| + 10 = −50

{30, -30}

{20,-20}

{-5,5}

No Solution

Fill in the Blanks

solve for z.

|3z|+1=10

Type answer...

Fill in the Blanks

Solve for p

-6|-2p - 7| = -18

Type answer...

SOLVING ABSOLUTE VALUE EQUATIONS

Copy ALL these notes down to be uploaded later.

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