8th grade Inequalities Test
Authored by Loretta Johnston
Mathematics
8th Grade
CCSS covered
Used 273+ times
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This quiz comprehensively covers solving and graphing linear inequalities, a fundamental algebraic concept for 8th grade mathematics. Students need to demonstrate multiple interconnected skills: applying inverse operations to isolate variables while maintaining proper inequality direction, understanding when inequality symbols flip during multiplication or division by negative numbers, and translating between algebraic expressions and visual number line representations. The problems require students to distinguish between strict inequalities (< and >) that use open dots versus inclusive inequalities (≤ and ≥) that use closed dots when graphing. Students must also interpret mathematical language such as "no more than" as corresponding to specific inequality symbols, identify valid solutions from given sets of numbers, and work with both one-variable inequalities on number lines and two-variable inequality systems in coordinate planes. The complexity level appropriately challenges 8th graders by combining procedural fluency with conceptual understanding of inequality relationships. Created by Loretta Johnston, a Mathematics teacher in US who teaches grade 8. This assessment serves as an excellent comprehensive evaluation tool for students who have completed their unit on linear inequalities, though individual questions can easily be extracted for daily warmup problems or targeted practice on specific skills like graphing techniques or solving multi-step inequalities. The quiz works particularly well for formative assessment since it reveals common misconceptions such as forgetting to reverse inequality signs or confusing open versus closed dot notation. Teachers can assign this as homework to reinforce classroom learning or use it for review before standardized testing, as the problems align directly with Common Core standards 8.EE.7 (solving linear inequalities in one variable) and 8.EE.8 (analyzing and solving systems of linear equations and inequalities). The variety of question formats—from direct computation to graphical interpretation—ensures students demonstrate both procedural skills and conceptual understanding essential for success in high school algebra.
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10 questions
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1.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Solve the inequality.
x + 5 ≤ 13
Tags
CCSS.7.EE.B.4B
2.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
When you graph an inequality, you used a closed dot when you use which symbols?
Tags
CCSS.6.EE.B.8
3.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
When graphing an inequality, you use an open dot when you use which symbol?
Tags
CCSS.6.EE.B.8
4.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
Pick the correct inequality.
Tags
CCSS.6.EE.B.8
5.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
What are two solutions to x < 8?
Tags
CCSS.6.EE.B.5
6.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
3g >12
Tags
CCSS.6.EE.B.8
7.
MULTIPLE CHOICE QUESTION
15 mins • 1 pt
No More Than
Tags
CCSS.6.EE.B.8
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