Solving Two-Step Inequalities
7th - 8th Grade
•14 Qs
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Solving Two-Step Inequalities
Quiz
•
Mathematics
•
7th - 8th Grade
•
Practice Problem
•
Medium
Standards-aligned
Tanya Cady
Used 2K+ times
FREE Resource
About this resource
This quiz addresses solving two-step inequalities, a fundamental algebraic concept typically taught in grades 7-8. Students must demonstrate mastery of multiple interconnected skills: applying inverse operations to isolate variables, understanding when to reverse inequality symbols during multiplication or division by negative numbers, translating word problems into mathematical inequalities, and representing solutions graphically using open and closed circles on number lines. The problems require students to work systematically through multi-step processes while maintaining careful attention to the direction of inequality symbols. Students need solid foundational knowledge of integer operations, particularly with negative numbers, and must understand the conceptual difference between strict inequalities (< and >) versus inclusive inequalities (≤ and ≥). Created by Tanya Cady, a Mathematics teacher in the US who teaches grades 7 and 8. This comprehensive assessment tool serves multiple instructional purposes throughout the learning cycle. Teachers can deploy it as a diagnostic pre-assessment to gauge student readiness, as guided practice during initial instruction, or as formative assessment to identify misconceptions before they become entrenched. The quiz works exceptionally well for homework assignments, allowing students to practice at their own pace while providing teachers with clear data on individual progress. The combination of procedural problems and conceptual questions about graphing and symbol manipulation makes it ideal for review sessions before summative assessments. This quiz directly supports Common Core standards 7.EE.B.4 and 8.EE.B.6, which focus on solving linear inequalities and understanding their graphical representations.
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14 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve for t.
6t + 4 ≤ -2
Tags
CCSS.7.EE.B.4B
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve for k.
7k – 2 ≥ -9
Tags
CCSS.7.EE.B.4B
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Solve for k.
2k - 9≤ -19
Tags
CCSS.7.EE.B.4B
4.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Solve for u.
u/7 – 1 ≤ 1
Tags
CCSS.7.EE.B.4B
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
-3y + 2 > 11
Tags
CCSS.7.EE.B.4B
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
You flip an inequality symbol when you...
Tags
CCSS.6.EE.B.8
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
When graphing b < 6 would you use an open or closed circle?
Tags
TEKS.MATH.6.9B
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