Systems of Inequalities
Authored by Chad Cabrera
Mathematics
9th Grade
CCSS covered
Used 134+ times
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About
This quiz comprehensively covers systems of inequalities, a fundamental topic in Algebra I typically taught in 9th grade. Students encounter multiple aspects of this concept including graphing individual linear inequalities, identifying solution regions for systems of inequalities, and determining whether specific coordinate points satisfy given inequality systems. The questions assess students' ability to interpret graphs of inequality systems, translate between algebraic expressions and their graphical representations, and understand the significance of boundary lines and shaded regions. Students need a solid foundation in coordinate geometry, linear equations, and inequality symbols to successfully navigate these problems. They must understand that solutions to systems of inequalities exist in the overlapping regions where all inequalities in the system are simultaneously satisfied, and they need to distinguish between inclusive and exclusive boundaries based on inequality symbols. Created by Chad Cabrera, a Mathematics teacher in the US who teaches grade 9. This quiz serves as an excellent tool for both formative and summative assessment of students' mastery of systems of inequalities. Teachers can deploy these questions as warm-up activities to gauge prior knowledge, use them for guided practice during instruction, or assign them as homework to reinforce classroom learning. The variety of question types—from point verification to graph interpretation—makes this quiz particularly valuable for differentiated instruction and review sessions before unit tests. The content aligns with Common Core standards A-REI.12, which focuses on graphing solutions to linear inequality systems on the coordinate plane, and A-CED.3, which emphasizes representing constraints through systems of inequalities and interpreting solutions within contextual problems.
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36 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Which point below is NOT part of the solution set?
Tags
CCSS.HSA.REI.D.12
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Select the correct graph for each inequality.
Tags
CCSS.HSA.REI.D.12
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Select the correct graph for each inequality.
Tags
CCSS.HSA.REI.D.12
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Is (-2,4) a solution to the system?
Tags
CCSS.HSA.REI.D.12
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Which point is a solution?
Tags
CCSS.HSA.CED.A.2
CCSS.HSA.REI.D.10
CCSS.HSA.REI.D.11
6.
MULTIPLE CHOICE QUESTION
5 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
5 mins • 1 pt
Is (0,0) a solution to the system?
Tags
CCSS.HSA.REI.D.12
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