One-Step Absolute Value Equations
What is the capital of Iowa?
Des Moines
Pretend that you are allowed to go within 9mph of the speed limit of 65mph without getting a ticket. Write an absolute value inequality that models this situation. Write an inequality that shows the speed you are allowed to go without getting a ticket.
|x – 65| < 9
lx+2l+2<4
-4<x<0
What is lx+5l + 10 =10
x=-5
What is the human body’s largest organ?
Skin
Write an Absolute Value Inequality: In an Olympic archery event, the center of the target is set exactly 130 centimeters off the ground. To get the highest score of ten points, an archer must shoot an arrow no further than 3.05 centimeters from the exact center of the target.
|d – 130| ≤ 3.05
2lx+3l>8
x<-7 or x>1
l4x+22l+5=1
No Solution
At a restaurant, you’ll see deer meat on the menu under what name?
Venison
Write an Absolute Value Inequality: Pete is making muffins for a bake sale. Before he starts baking, he goes online to research different muffin recipes. The recipes that he finds all specify baking temperatures at 375°F, give or take 25°F. Write an absolute value inequality to represent the possible temperatures t called for in the muffin recipes Pete is researching.
|t – 375| ≤ 25
2lx+2l-1<8
-5<x<1
What temperature does water boil at?
100 degrees Celsius
Set up the Absolute Value Inequality: During a recent visit to the veterinarian’s office, Mrs. Van Allen was informed that a healthy weight for her cat is approximately 10 pounds, plus or minus one pound. Write an absolute value inequality that represents unhealthy weights w for her cat.
|w – 10| > 1
2lx+9l+3>7
x>-7 or x<-11
Which planet in our solar system has the most moons?
Jupiter
According to the NFL rules, a football used in a game must have an air pressure of 13 psi plus or minus 0.5 psi. Write an absolute value inequality that models the range of the acceptable air pressure.
|a - 13| < 0.5
3lx/7l>21
x>49 or x<-49