Factoring Test Practice
Authored by Susan Bach
Mathematics
9th Grade
CCSS covered
Used 1K+ times
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About
This quiz focuses on polynomial factoring, a fundamental algebraic skill taught in 9th-grade Algebra I. Students must demonstrate mastery of multiple factoring techniques, including factoring quadratic trinomials with positive and negative coefficients, factoring out the greatest common factor (GCF), and applying special factoring patterns like the difference of squares. The problems progress systematically from basic trinomial factoring (x² + 7x + 12) to more complex multi-step problems requiring students to first factor out a GCF and then continue factoring the remaining expression (3x⁵ - 27x³). Students need solid number sense to identify factor pairs, strong algebraic manipulation skills to work with coefficients and variables, and the strategic thinking to recognize when polynomials are prime or when multiple factoring techniques must be applied in sequence. Created by Susan Bach, a Mathematics teacher in the US who teaches grade 9. This comprehensive factoring practice quiz serves multiple instructional purposes in the algebra classroom, from formative assessment to test preparation and skill reinforcement. Teachers can deploy this quiz as a warm-up activity to activate prior knowledge, assign it as homework to provide additional practice opportunities, or use it as a review tool before summative assessments. The varied question formats and progressive difficulty levels make it particularly effective for identifying specific areas where students need additional support with factoring techniques. This quiz directly supports Common Core State Standards A-SSE.2 (factoring expressions to reveal structure) and A-APR.1 (understanding polynomial arithmetic and factoring), providing essential practice for students developing fluency with these critical algebraic processes.
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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Factor x2 + 7x + 12
Tags
CCSS.HSA.SSE.A.2
CCSS.HSA.SSE.B.3
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Factor:
x2 + 7x - 30
Tags
CCSS.HSA.SSE.A.2
CCSS.HSA.SSE.B.3
CCSS.HSA.APR.A.1
3.
MULTIPLE CHOICE QUESTION
45 sec • 1 pt
Factor
x2 + 9x - 36
Tags
CCSS.HSA.SSE.A.2
CCSS.HSA.SSE.B.3
CCSS.HSA.REI.B.4
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
3x2 - 15x + 18
Tags
CCSS.HSA.SSE.A.2
CCSS.HSA.SSE.B.3
CCSS.HSA.APR.A.1
CCSS.HSA.APR.B.3
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
4x2 + 8x - 60
Tags
CCSS.HSA.SSE.A.2
CCSS.HSA.SSE.B.3
CCSS.HSA.APR.A.1
CCSS.HSA.APR.B.3
CCSS.HSA.APR.B.2
CCSS.HSA.REI.B.4
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
8x3 - 18x
Tags
CCSS.HSA.SSE.A.2
CCSS.HSA.SSE.B.3
CCSS.HSA.APR.A.1
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
50m3 - 2m
Tags
CCSS.HSA.SSE.A.2
CCSS.HSA.SSE.B.3
CCSS.HSA.APR.A.1
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