Graphing System of Inequalities
Mathematics
9th - 11th Grade
CCSS covered
Used 466+ times
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About
This quiz focuses on systems of linear inequalities, specifically the critical skill of matching algebraic expressions to their corresponding graphical representations. The content is appropriate for grades 9-11, aligning with Algebra I and Algebra II coursework where students transition from working with individual inequalities to analyzing systems of multiple constraints simultaneously. Students must demonstrate mastery of several interconnected concepts: interpreting inequality symbols and their relationship to shaded regions, understanding how boundary lines are determined by the equality portion of each inequality, recognizing whether boundary lines should be solid or dashed based on inclusive versus exclusive inequalities, and identifying solution sets as the intersection of multiple half-planes. Additionally, students need fluency in translating word phrases like "at least," "no fewer than," and "not exceeding" into appropriate mathematical symbols, as well as the ability to test specific coordinate points to verify whether they satisfy all conditions in a given system. This quiz was created by a classroom teacher who designed it for students studying Algebra I and II concepts in grades 9-11. The assessment serves multiple instructional purposes and works exceptionally well as a formative assessment tool to gauge student understanding before moving to more complex applications like linear programming. Teachers can deploy this as a warm-up activity to activate prior knowledge about graphing individual inequalities, use it for guided practice during direct instruction, or assign it as homework to reinforce concepts covered in class. The mix of visual interpretation questions and algebraic manipulation makes it valuable for review sessions before unit tests, helping students connect the abstract symbolic representation with concrete graphical meaning. This content directly supports Common Core standards A-REI.12 (graphing solutions to linear inequalities and systems of inequalities) and A-CED.3 (representing constraints by systems of inequalities), while also building foundational skills needed for more advanced topics in mathematical modeling and optimization.
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20 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Match the system to the graph (solution set is on the left)
Tags
CCSS.HSA.REI.D.12
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Match the system to the graph.
Tags
CCSS.HSA.REI.D.12
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Match the system to the graph.
Tags
CCSS.HSA.REI.D.12
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Match the system to the graph (solution set is the purple area)
Tags
CCSS.HSA.REI.D.12
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which system of inequalities matches the graph?
y < -4
y> 4
y < 4
y <- 4
Tags
CCSS.HSA.REI.D.12
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Which of the following is not a solution to this system of inequalities?
Tags
CCSS.HSA.REI.D.12
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Which of the following is not a solution to this system of inequalities?
Tags
CCSS.HSA.REI.D.12
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