Absolute Value Functions Review Lesson Slides: 6 Slides

6 Slides • 8 Questions

1

Absolute Value Functions Review

Let's summerize our learning.

2

Multiple Choice

True or False

The absolute value of a number can be positive or negative?

1

True

2

False

3

I really don't know

3

Multiple Select

The |x| can be . . .

1

A numbers less than 1

2

Zero

3

Negative Numbers

4

All real numbers

5

non-negative numbers

4

The Algebraic Definition of Absolute Value

What does that mean?

5

Multiple Select

$\left|x\right|\ =\ 5\ ,\ meaning\ the\ value\ of\ x\ is\$

1

5

2

-5

3

No solution

4

All real numbers

6

Absolute Inequalities

Inequality is a universal topic in math. The rules are the same as they were linear equations.

7

Multiple Choice

$\left|z\right|>8$

Solve the inequality

1

$z=-8\ or\ z\ =\ 8$

2

$z\ <8$

3

$-8<z<8$

4

$z<\ -8\ \ \ or\ \ \ \ \ z\ >8$

8

Absolute Value Equations & Inequalities

Not all equations or Inequalities require solving.

9

Multiple Choice

$Solve$ $\left|x\right|\ =\ -5$

1

$x\ =\ -5$

2

$x\ =\ 5$

3

$x\ =\ 5\ or\ -5$

4

No Solution

10

Multiple Choice

$Solve:\ \ \left|x-3\right|\ +7\ =\ 2$

1

All real numbers

2

x = -2

3

x = -2 & 8

4

No Solution

11

$Solve:\ \ \ \ \left|x-3\right|+7=2$

First step is to subtract 7 on both sides. We want to isolate the absolute value
The equation then becomes $\left|x-3\right|=-5$
Absolute value cannot be negative.
There are NO SOLUTIONS

12

Multiple Choice

$Solve:\ \ \ \ \ \ -7<\left|3x+1\right|\$

1

No Solution

2

x = 2

3

x = -2 or x = 2

4

All Real Numbers

13

-7<\left|3x+1\right|

This is equivalent to

\left|3x+1\right|>-7

Absolute Value is ALWAYS

greater than a negative

14

Poll

Who needs support with solving absolute value equations?

I'm good

I need help

I don't even know

Absolute Value Functions Review

Let's summerize our learning.

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