Algebra 1 Inequalities Test
Authored by MIchelle Terrell
Mathematics
9th - 10th Grade
CCSS covered
Used 390+ times
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About
This quiz focuses on linear inequalities, which is a fundamental topic in Algebra 1 that builds directly on students' understanding of solving linear equations. The questions assess students' ability to solve one-step and multi-step inequalities algebraically, interpret inequality solutions on number lines, translate between algebraic and graphical representations, write inequalities from verbal descriptions, and verify whether given values satisfy inequality conditions. Students need to master several core concepts to succeed: understanding inequality symbols and their meanings, applying inverse operations while remembering to reverse the inequality sign when multiplying or dividing by negative numbers, distributing terms in multi-step problems, and connecting algebraic solutions to their graphical representations on number lines. The complexity and skill requirements align this content with grades 9-10, as students must demonstrate fluency with algebraic manipulation while developing the additional conceptual understanding of how inequalities differ from equations in their solution sets and graphical representations. Created by Michelle Terrell, a Mathematics teacher in Vietnam who teaches grades 9-10. This assessment provides comprehensive coverage of linear inequalities that supports multiple instructional purposes throughout a unit on this topic. Teachers can use individual questions as warmup problems to activate prior knowledge about solving equations before introducing inequalities, assign sections as homework to reinforce specific skills like graphing solutions or solving multi-step problems, or deploy the entire quiz as a formative assessment to identify which students need additional support before a summative evaluation. The variety of question types—from direct algebraic solving to interpretation of graphs and verification of solutions—makes this particularly effective for review sessions where students need to synthesize different representations of the same mathematical concepts. This quiz aligns with Common Core standards A-REI.3 (solving linear equations and inequalities in one variable) and A-CED.1 (creating equations and inequalities in one variable to solve problems), providing teachers with standards-based assessment opportunities that measure both procedural fluency and conceptual understanding.
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20 questions
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1.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
-4x + 14 ≤ 54
Tags
CCSS.7.EE.B.4B
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Which is a solution of
5(v + 3) - 10v > -10
Tags
CCSS.6.EE.B.5
CCSS.6.EE.B.8
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Write an inequality for Graph 3.
Tags
CCSS.6.EE.B.5
CCSS.6.EE.B.8
4.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Solve the inequality.
30 + n ≥ 50
n > 50
n ≥ 80
n < 30
n ≥ 20
Tags
CCSS.7.EE.B.4B
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Is x = 9 a solution to the given inequality.
x > 9
Tags
CCSS.6.EE.B.5
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
Is x = 12 a given solution to the inequality.
x > 5
Tags
CCSS.6.EE.B.5
7.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
What inequality does the number line graph represent.
Tags
CCSS.6.EE.B.8
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