Multiplying Polynomials
Quiz
•
Mathematics
•
7th - 12th Grade
•
Practice Problem
•
Medium
Standards-aligned
Used 380+ times
FREE Resource
About this resource
This quiz focuses on polynomial multiplication, covering the fundamental algebraic skill of expanding products of binomials, trinomials, and higher-degree polynomials. The content is appropriate for grades 8-9, as it requires students to apply the distributive property systematically and combine like terms accurately. Students must demonstrate mastery of multiplying binomials using FOIL (First, Outer, Inner, Last), expanding binomial squares and difference of squares patterns, and handling more complex polynomial products involving trinomials. The quiz also includes polynomial addition and subtraction problems, requiring students to organize terms by degree and apply integer operations with coefficients. Success on these problems demands solid understanding of exponent rules, variable manipulation, and the ability to track multiple terms through multi-step algebraic processes. This quiz was created by a classroom teacher who designed it for students studying Algebra I concepts in grades 8-9. The assessment serves multiple instructional purposes, functioning effectively as targeted practice for polynomial operations, homework assignments to reinforce classroom instruction, or formative assessment to gauge student readiness before advancing to factoring polynomials. Teachers can use this quiz as a warm-up activity to activate prior knowledge before introducing polynomial division, or as review material before unit tests on polynomial operations. The problems progress logically from basic binomial multiplication through more challenging polynomial products, making it suitable for differentiated instruction where students can work through problems at increasing levels of complexity. This content aligns with standards A-APR.1, which requires students to understand that polynomials form a system analogous to integers and can be added, subtracted, and multiplied.
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18 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
(x + 7)(x + 9)
Tags
CCSS.HSA.APR.A.1
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
(2x - 1)(x + 2)
Tags
CCSS.HSA.APR.A.1
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
(4x+1)(5x−2)
Tags
CCSS.HSA.APR.A.1
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
(5x+2)(x2-3x+6)
Tags
CCSS.HSA.APR.A.1
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
(x-3)(x2+2x+7)
Tags
CCSS.HSA.APR.A.1
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Simplify:
(3x - 5) ( 4x2 - 2x - 3)
Tags
CCSS.HSA.APR.A.1
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Multiply 7x2y3 (2x4y5+6xy3)
Tags
CCSS.HSA.APR.A.1
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