Integrated Math 1 - Solve Absolute Value Equations

What's a way to define absolute value?

• The value of a number
• The opposite of a number
• The distance of a number from zero
• The multiplicative inverse of a number

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.

Solve the absolute value equation. 

• {7}
• {-7, 7}
• {0, 7}
• No Solution

Solve for x

l 5x l = 40

Pick TWO answers

• 8

• -8

• 40

• -40

• 35,-35

Solve:

 $\left|x+7\right|=10$  

Remember to pick TWO answer choices

• -13

• 3

• 17

• -3

• -17

Solve for x

 $\left|2x-1\right|9$  

x = ___,___


Write your answer like this "-4,5" with NO spaces 
and do NOT write  "x =".  If you do not follow this format, you will get it wrong.

Solve for x

 $2\left|x-4\right|+8=18$  

x = ___,___

Write your answer like this "-4,5" with NO spaces and do NOT write "x =".  If you do not follow this format, you will get it wrong.

An absolute value is always positive, which means the following situation is NOT POSSIBLE (there are no solutions)

|x| = -5

• True, so the answer is only 5

• False, because the answer is 5

• True, it's not possible for a distance to be negative

• False, an absolute values are always the opposite of what's in the parentheses

True or False: Is x = 4 a solution to |x + 5| = -9

• True
• False