FST
Linear Inequalities and Systems
Quiz Review
Name: ___________________________________________________
Date: ___________________________________________
Part I: Is each ordered pair a solution to the inequality?
1. y – 3x > 0; (0, 0); (-4, 1)
2. -2x + 5y  5; (-1, -2); (2, 1)
Solution: ______________________
Solution: ______________________
Not Solution: __________________
Not Solution: __________________
Part II: Sketch the graph of the inequality.
3. y  – 5x
4. 2x - y < 3
Part III: Write an inequality for each graph.
5.
_______________________________________
6. ______________________________________
Part IV: Real World Application
7. Car Sales- You are a car dealer. You have $1,408,000 available to purchase compact car and sport utility
vehicles for your lot. The compact car costs $11,000 and SUV’s cost $22,000. Let x represent the number of
compact cars and y represent the number of SUV’s you purchase.
a.) Write and graph an inequality that models the different numbers of compact cars and SUV’s you
can purchase.
Define variables: x = _________________________________________
y = _________________________________________
Inequality: ______________________________________________________
b. Graph the inequality. Name a combination of compact cars and SUV’s that satisfies the budget.
Combination:
__________________________________________________
Part V: Graph the System of Inequalities.
8. y < -2x + 5
5x - 3y < -9
9. -3x + 2y > 6
y ≤ 1/4x + 2
Part VI: Write a system of linear inequalities that defines the shaded region.
10.
11.
Part VII: Real World Application.
12. Local Magazine- A monthly magazine is hiring reporters to cover school events and local events. In
each magazine, the managing editor wants at least 4 reporters covering local news and at least 1 reporter
covering school news. The budget allows for no more than 9 reporters’ articles to be in a magazine.
a.) Define variables and write a system of linear inequalities to describe the scenario.
x = _________________________________
y = _____________________________________
Inequality 1: _________________________________________ Inequality 2: _________________________________________
b.) Graph your inequalities.
c.) Draw Conclusions: What is a
combination of local and school events
covered in a magazine?