Easy
|x| = 5
{5,-5}
|-2r-1|=11
{-6,5}
3|-8x| + 8 = 80
{-3,3}
Norah's birthday is exactly 7 days away from her brother Jesse's birthday. If Jesse was born on November 17, then which of the following inequalities represents the day, d, in November on which Norah was born?
|d-17| = 7
What makes something Like Terms?
- Same Variable
- Same Power
|n/3| = 2
{-6,6)
|v+8| - 5 = 2
{-1,-15}
|-9-3x| / 3 = 5
{-8,2}
On a television game show, contestants are asked to guess the price of an item, and the contestant whose guess is closest to the exact price wins that item. One item on the show was a microwave oven for which the exact price is $112, and Josh's guess was $6 away from that exact price. If Josh's guess can be represented by the variable j, which of the following equations represents the amount that Josh guessed?
|j-112|=6
What is the definition of Absolute value?
distance from 0 on a number line
|k-2|= -8
No Solution
|8n+10| = 22
{1.5, -4}
6|6x+1| -1 =29
{2/3, -1}
At a basketball game, attendees could guess the attendance in order to win a prize if they guessed the exact number. 11,454 people attended, and Hannah's guess was only 4 people off the exact numbers. Which of the the following equations represents the number, n, that Hannah guessed?
|n-11.454| = 4
Why do most Absolute Value Equations have 2 Answers
- 2 distances from 0 a positive and a negative
|3x| = 9
{3,-3}
|7-7b| = 0
{1}
-5|3+4k|=-115
5, -13/2
Your have money in your wallet, but you don't know the exact amount. When a friend asks you, you say that you have 50 dollars give or take 15. Use an absolute value equation to find least and biggest amount of money in your pocket?
{65,35}
When does an absolute value equation have one answer?
equal to zero
|n+8| = 1
{-7,-9}
|5x|-5 = 45
{10,-10}
-8|5p+10|-6=-86
{0,-4}
Tolerance is an allowance made for imperfections in a manufactured object. The manufacturer of an oven specifies a temperature tolerance of ±15ºF. This means that the temperature inside the oven will be within 15ºF of the temperature that to which it is set. Write and solve an absolute value equation to find the maximum and minimum temperatures inside the oven when the thermostat is set to 400ºF.
|t-400| = 15
max- 415
Min- 385
When does absolute Value have no Answer?
Equal to a Negative