Adding, Subtracting and Multiplying Polynomials
Authored by Danielle Keener
Mathematics
9th - 12th Grade
CCSS covered
Used 557+ times
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About
This quiz comprehensively covers polynomial operations at the Algebra 1 level, appropriate for grades 9-10. The questions systematically build understanding from foundational concepts to computational fluency with polynomial addition, subtraction, and basic classification. Students need a solid grasp of like terms, coefficient manipulation, and the distributive property to successfully combine polynomials. The quiz emphasizes critical skills including identifying and combining like terms, understanding polynomial terminology (monomial, binomial, trinomial), writing polynomials in standard form (descending order by degree), and performing addition and subtraction operations with polynomials of varying complexity. Students must demonstrate proficiency in organizing terms, handling positive and negative coefficients, and applying the rules for subtracting polynomials by distributing the negative sign through parentheses. Created by Danielle Keener, a Mathematics teacher in the US who teaches grades 9-12. This assessment provides an excellent tool for formative evaluation of student understanding before advancing to more complex polynomial operations like multiplication and factoring. Teachers can use this quiz as a diagnostic tool at the beginning of a polynomial unit, as guided practice during instruction, or as a review assessment before summative evaluation. The variety of question formats - from conceptual understanding of terminology to multi-step computational problems - makes it versatile for different instructional needs, whether as a warm-up activity, homework assignment, or in-class practice. The content aligns with Common Core standards A-APR.1 (understanding polynomial structure and operations) and A-SSE.1 (interpreting polynomial expressions), providing essential foundation skills that students need for success in advanced algebraic topics including polynomial factoring, rational expressions, and polynomial functions.
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20 questions
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1.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Find the sum.
(3y2 + y3 - 5) + (4y2 -4y + 2y3 + 8)
Tags
CCSS.HSA.APR.A.1
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Simplify the expression.
(4n4 - 8n + 4) - (8n2 + 4n4 + 1)
Tags
CCSS.HSA.APR.A.1
3.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
Simplify each expression.
(6x + 4x4 - 3x2) + (7x4 + 5x2 + 8x)
Tags
CCSS.HSA.APR.A.1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
How many terms are in the following polynomial?
3x3 - 2y + 8x -16
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Which of the following are examples of like terms?
Tags
CCSS.6.EE.A.2B
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the correct name of the following:
3x + 5y2 - 3
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
When adding or subtracting polynomials we add / subtract the _____________________________.
Tags
CCSS.HSA.APR.A.1
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