Graphs with one variable
Solving with One Variable
One Graph with Two Variables
Systems on Linear Inequalites
Word Problems
100
Graph
x > 2
100
Solve: 2x + 4 < 9
x < 2.5
100
Describe the difference between a solution to a linear inequality with a dotted line versus a solution with a solid line.
All of the ordered pairs are a part of the solution set on a solid line and are not part of the solution set for a dotted line.
100
Which region of the graph contains the solution?
Region 3
100
A yearbook company promises to give the junior class a picnic if they spend at tleast $28,000 on yearbooks and class rings. Each yearbook costs $35 and each class ring costs $140. Write an inequality to represent the number of yearbooks and class rings must the junior class buy to get their picnic.
x = number of yearbooks
y = number of class rings
35x + 140y>=28000
200
Graph
x<=2
200
Solve: 12x - 8 > 40
x > 4
200
Would the graph of 2x + 3y < 15 be graphed with a solid line or a dashed line?
Dashed
200
Is (2, 8) a solution to this system?
No
200
A yearbook company promises to give the junior class a picnic if they spend at least $28,000 on yearbooks and class rings. Each yearbook costs $35 and each class ring costs $140. Would the junior class earn their picnic if they purchased 320 yearbooks and 100 class rings?
No
300
Write the inequality for the graph:
x > -170
300
Solve: -3x + 7 < 58
x > -17
300
Would the graph of 6x - y <=8 have a solid or a dashed line?
Solid
300
Is (4, 2) a solution to this system?
Yes
300
The surf shop has a weekly overhead of $2300.
Write an inequality to represent thenumber of skimboards and longboards the shop sells each week to make a profit.
x = the number of skimboards
y = the number of longboards
115x + 685y > 2300
400
Write the inequality for the graph:
x>=60
400
Solve: -9x - 13 >= 59
x <= -8
400
Would the graph of 5x + 2y <= 24 be shaded to the left or to the right of the boundary line?
To the left (below)
400
Is (2, 0) a solution to this system?
No
400
The surf shop has a weekly overhead of $2300.
How many skimboards and longboards must the shop sell each week to make a profit?
Solutions vary. Your stated solution must fall in the shaded region of the graph within Quadrant 1, including the axes.
500
Write the inequality for the graph:
-2<=x<5
500
Solve: -119 < -6x + 1 <=-35
6<=x<20
500
Would the graph of 4x - 3y >= 36 be shaded to the left or to the right of the boundary line?
To the right (below)
500
Which region shows the solution to this system?
None. This system on linear inequalities has no solution.
500
Justina works between 10 and 30 hours per week at a pizza shop. She earns $8.50 an hour, but can earn tips from customers.
Write a ssystem of inequalities to represent this situation.
x = number of hours
y = total earned
10<=x<=30
y>=8.5x