Absolute Value Equations
Inequalities grpahs and word problems
One and two-step Inequalities
Solve and Graph
Word Problems
100
|3x + 7| = 5
{-4, -2/3}
100
A number x is no greater than 8
x < 8
100
n +3 <= -10
n <= -13
100
Solve and graph the inequality
3(w + 8)>42
100
Lisa is cooking muffins. The recipe calls for more than 7 cups of sugar. She has already put in 2 cups. How many more cups does she need to put in?
x + 2 > 7
x>5 cups of sugar
200
lv+8l-5=2
{-15, -1}
200
A number b minus 9 is no less than -20
b - 9 ≥ -20
200
-2/3w > -8
x < 12
200
-2(m -5)>=-2
x<=6
200
After paying $5.00 for a salad, Taylor has no more than $27.00 left. How much money did she have before buying the salad?
x - 5 ≤ 27
x <= $32
300
6l -5x+1 l-9=57
{-2, 12/5}
300
Write the inequality for the graph
x < 2
300
-6x - 20 >=4
x < -4
300
x -12 < -4
300
For what values of x will the area of the grey region be less than or equal to 28
x + 3
0<x<=2
400
Billy wants to buy a hockey stick. His target price is $200 but he is willing to pay $50 above or below that amount. Write and solve an absolute value equation to find the min and max amounts Billy is willing to spend
|x - 200|=50
Min: $150 Max:$250
400
Write the inequality for the graph
x<=7
400
225 <= -15p
p<=-15
400
Write the inequality tell whether it is and "and" or and "or"
-2<=x<=5
and
400
Find the solution to both absolute value inequalities. Are the solutions the same or differant? Why?
|x + 5| -6 < -8 |x + 5| -6 > -8
The first is not solutions and the second is all real numbers. No absolute value can be less than a negative. All absolute values will be greater than a negative.
500
Kyleigh has a goal of practicing hockey between 8 and 10 hours every week. Write an absolute value equation that represents her goal.
|x - 9| = 1
500
A ride at Valley Fair can carry a maximum wight of 600 lbs. Two people weigh 325 lbs. Write and solve and graph an inequality to represent the remaining weight that can be added
x + 325<=600
0<=x<=275
500
The length of a rectangle is x - 12 in. The width of the rectangle is 30 in. The perimeter of the rectangle can be no more than 66 in. Write and solve an inequality for x
What is
2(x - 12) + 2(30)<=66
0<x<=15
500
Write the solution to the inequality. tell whether it is and "and" or an "or'
4>x>=10
or
500
Which letter is the solution?
B