Solving Equations
Solving Inequalities
Equations Word Problems
Inequalities Word Problems
Graphing and Interval Notation
100
Solve \frac{|x-2|}{6}=4 .
x= 26,-22
100
Solve and graph 9+|-m+4|\geq14
(-\infty,-1] \cup [9,\infty)
100
What is the formula when writing an absolute value equation from a scenario?
|x-mean|=distance
100
What is the formula for writing an absolute value inequality from a scenario?
|x-mean|\leq deviation
100
Graph the following interval and write it in interval notation.
-4<a<6
(-4,6)
200
Solve |\frac{n}{4}|-2=-5
No solution.
200
Solve and graph \frac{|4m-9|}{-7}<5
All real numbers
(-\infty, \infty)
200
The minimum height requirement for the military is 55 inches while the maximum height for the military 80 inches. Write an absolute value equation to represent this scenario.
|x-67.5|=12.5
200
A cereal box has an average weight of 20 grams with an absolute deviation of 0.75 grams. Write and solve an absolute value inequality to represent the possible ranges for this scenario.
|x-20|\leq0.75
[19.25,20.75]
200
Graph the following interval and write it in interval notation.
-5\leqn\leq\frac{1}{3}
[-5,\frac{1}{3}]
300
Solve 2|5-x|+1=5 .
x=3, 7
300
Solve and graph 8|-9+6n|-4<20
(1,2)
300
The minimum number of points scored on a test was 54 and the maximum number of points scored a test was 100. Write an absolute value equation to model this scenario.
|x-77|=23
300
You are able to go 9mph within the speed limit of 65mph without getting a ticket. Write and solve an absolute value inequality to represent the range of value for this scenario.
|x-65|\leq9
[56,74]
300
Graph the following interval and write it in interval notation.
m>4 or m<-2
(-\infty,-2)\cup(4,\infty)
400
Solve 6-6|6-2x|=30 .
No solution
400
Solve and graph 2-6|-5k-8|\geq80
No solution
400
The minimum height for a dog is 10 inches while the maximum height is 15 inches. Write an absolute value equation to model this scenario.
|x-12.5|=2.5
400
Pumpkins at a pumpkin patch weighed 20, 23, 24, 26, 22 pounds. Mr. Yohn only wants to keep pumpkins that are within 2 pounds of the average weight. Write and solve an absolute value inequality to determine the range of values.
|x-23|\leq2
[21,25]
400
Graph the following interval and write it in interval notation.
n\leq-1 or n\geq0
(-\infty, -1) \cup (0,\infty)
500
Solve |p+8|=3p+8
p= 0
500
Solve and graph -4-3|-8v-4|<-88
(-\infty,-4)\cup(3,\infty)
500
The minimum number of days off for Winter Break could be 5 days while the maximum number of days off for Winter Break could be 12 days. Write an absolute value equation to represent this scenario.
|x-8.5|=3.5
500
The temperatures for the past seven days are 65, 70, 75, 68, 62, 71, 73 degrees Fahrenheit. The gym classes can only go outside if it is within 3 degrees of the average temperature. Write and solve an absolute value inequality to represent the range of values for this scenario.
|x-69|\leq3
[66,72]
500
Write the following solution in interval notation and graph the solution.
All real numbers
(-\infty, \infty)