Solving Absolute Value Inequalities
Authored by Mitchell Williamson
Mathematics
9th Grade
CCSS covered
Used 1K+ times
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About
Looking at these questions, this quiz focuses squarely on absolute value inequalities, a critical topic in Algebra 1 that typically appears in 9th grade mathematics curricula. The questions systematically address the fundamental concepts students must master: understanding when to use "and" versus "or" compound inequalities (less than creates "and," greater than creates "or"), recognizing the proper first steps in solving (isolating the absolute value expression before splitting), and interpreting solution sets both algebraically and graphically. Students need a solid foundation in basic inequality operations, graphing on number lines, and the conceptual understanding that absolute value represents distance from zero, which creates two cases to consider. The problems progress from identifying correct procedures to applying multi-step solving techniques, requiring students to demonstrate both procedural fluency and conceptual reasoning about why absolute value inequalities behave differently from regular inequalities. Created by Mitchell Williamson, a Mathematics teacher in US who teaches grade 9. This quiz serves as an excellent formative assessment tool to gauge student understanding of absolute value inequalities before moving to more complex algebraic concepts. Teachers can deploy this as a warm-up activity to activate prior knowledge, use it during guided practice to identify common misconceptions, or assign it as homework to reinforce classroom instruction. The question format makes it particularly effective for quick checks of procedural understanding and can help teachers determine which students need additional support with the fundamental concept of splitting absolute value inequalities into compound statements. This assessment aligns with Common Core standards A-REI.3 (solving linear inequalities) and A-CED.1 (creating equations and inequalities), providing teachers with targeted feedback on student mastery of these essential algebraic reasoning skills.
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Student View
15 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Solve the absolute value inequality and graph.
A
B
C
D
Tags
CCSS.HSA.REI.B.3
CCSS.HSA.CED.A.1
CCSS.HSA.REI.D.12
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve the absolute Value inequality and graph.
Tags
CCSS.HSA.REI.B.3
CCSS.HSA.CED.A.1
3.
MULTIPLE CHOICE QUESTION
20 sec • 1 pt
Solve the absolute Value inequality and graph.
Tags
CCSS.HSA.REI.B.3
CCSS.HSA.CED.A.1
CCSS.HSA.REI.D.12
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Solve the absolute Value inequality and graph.
Tags
CCSS.HSA.REI.B.3
CCSS.HSA.CED.A.1
CCSS.HSA.REI.D.12
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
| 2x + 12 | < 8
Which is the correct first step?
Tags
CCSS.HSA.REI.B.3
CCSS.HSA.REI.A.1
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Tags
CCSS.HSA.REI.B.3
CCSS.HSA.CED.A.1
CCSS.HSA.CED.A.3
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Tags
CCSS.HSA.REI.B.3
CCSS.HSA.CED.A.1
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