Polynomials Test Review Algebra 1
Authored by Jeffrey Spoering
Mathematics
9th Grade
CCSS covered
Used 71+ times
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About
This quiz comprehensively covers polynomial operations and factoring concepts appropriate for Grade 9 Algebra 1 students. The questions systematically progress through fundamental polynomial vocabulary (degree, leading coefficient, classification by terms), standard form conversion, and arithmetic operations including addition, subtraction, and multiplication of polynomials. Students must demonstrate mastery of factoring techniques including greatest common factor extraction, factoring quadratic trinomials, difference of squares patterns, and complete factoring of more complex expressions. The quiz also integrates practical applications through area and perimeter problems involving polynomial expressions, requiring students to connect algebraic manipulation skills with geometric reasoning. To succeed, students need solid understanding of exponent rules, like terms combination, distributive property applications, and pattern recognition for special factoring cases. Created by Jeffrey Spoering, a Mathematics teacher in the US who teaches grade 9. This comprehensive review quiz serves multiple instructional purposes, functioning effectively as pre-test preparation, cumulative review material, or formative assessment to gauge student readiness before a unit exam. Teachers can deploy individual question sets as targeted warm-up activities focusing on specific skills like standard form conversion or factoring techniques, while the complete quiz provides thorough homework practice covering all major polynomial concepts. The varied question formats, including multiple-choice and multiple-select items, allow for both quick comprehension checks and deeper conceptual understanding verification. This assessment aligns with Common Core standards A-APR.1 for polynomial arithmetic operations and A-SSE.2 for factoring expressions, supporting the systematic development of algebraic fluency essential for advanced mathematics courses.
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27 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
10 sec • 1 pt
What is the degree of the monomial?
Tags
CCSS.6.EE.A.1
CCSS.6.EE.A.2
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the degree of the polynomial 3x4 + 2x2 + 5x ?
Tags
CCSS.6.EE.A.1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Classify by number of terms:
3x3 – 6x
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Classify by number of terms:
7x3 – 8x2 -4x+ 9
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the leading coefficient of 8x3 + 3x2 -9x
8
3
2
9
Tags
CCSS.HSA.APR.A.1
6.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Pick all that are NOT examples of polynomials. There is more than one answer. Check all that apply.
x-3 + 2x - 1
4x2 - 9x + 84x8
1/x4 - 8
7x
7.
MULTIPLE SELECT QUESTION
1 min • 1 pt
Which polynomials have a degree of 4? There is more than one answer. Check all that apply.
4x3y
x2 + 3x3 + 2x - 4
-9x4 + 7x2
21x - 5x4 + 8x
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