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Algebra 2 Unit 2 Practice Test

Authored by Courtney Greene

Mathematics

9th - 12th Grade

CCSS covered

Used 145+ times

Algebra 2 Unit 2 Practice Test
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This quiz focuses on polynomial operations and function concepts at the Algebra 2 level, appropriate for grades 10-11. The questions systematically assess students' mastery of fundamental algebraic skills including polynomial addition, subtraction, multiplication, and division, along with more advanced function concepts. Students must demonstrate proficiency in combining like terms, applying the distributive property, using the FOIL method for binomial multiplication, performing polynomial long division, and understanding function operations such as composition and inverse functions. The progression from basic polynomial arithmetic to complex function relationships requires students to think abstractly about mathematical relationships and apply multiple algebraic techniques within single problems. The inclusion of higher-degree polynomials and rational expressions demands strong computational skills and conceptual understanding of algebraic structure. Created by Courtney Greene, a Mathematics teacher in US who teaches grade 9-12. This comprehensive practice test serves as an excellent review tool for students preparing for assessments on polynomial operations and function concepts. Teachers can use this quiz for formative assessment to identify areas where students need additional support, particularly in computational accuracy and conceptual understanding of function relationships. The variety of question types makes it suitable for differentiated instruction, allowing teachers to assign specific sections based on individual student needs. The quiz aligns with Common Core standards A-APR.1 (polynomial arithmetic), A-APR.6 (polynomial division), F-BF.4 (finding inverse functions), and F-BF.1 (function composition), providing targeted practice for key algebraic skills that serve as prerequisites for advanced mathematics courses.

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    Student View

20 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 (3+3n5+6n3)+(7n5+5n33)\left(-3+3n^5+6n^3\right)+\left(7n^5+5n^3-3\right)  

 15n315n^3  

 10n5+11n3610n^5+11n^3-6  

 10+11n56n310+11n^5-6n^3  

 4n5+8n334n^5+8n^3-3  

Tags

CCSS.HSA.APR.A.1

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 (12p2+15p+3)(2p2+17p2)\left(12p^2+15p+3\right)-\left(2p^2+17p-2\right)  

 10p2+2p510p^2+2p-5  

 10p22p+510p^2-2p+5  

 10p22p+110p^2-2p+1  

 10p42p+510p^4-2p+5  

Tags

CCSS.HSA.APR.A.1

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 7x(11x+12)-7x\left(11x+12\right)  

 77x284x-77x^2-84x  

 161x2161x^2  

 11x284x11x^2-84x  

 77x2+12x-77x^2+12x  

Tags

CCSS.HSA.APR.A.1

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

 (2x6)(x+11)\left(2x-6\right)\left(x+11\right)  

 x266x+16x^2-66x+16  

 x2+16x+11x^2+16x+11  

 2x2+16x662x^2+16x-66  

 2x2+11x662x^2+11x-66  

Tags

CCSS.HSA.APR.A.1

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 (4m+9)(4m2+m+3)\left(4m+9\right)\left(-4m^2+m+3\right)  

 16m3+21m+27-16m^3+21m+27  

 16m332m2+21m+27-16m^3-32m^2+21m+27  

 0m2+21m+270m^2+21m+27  

 16m340m2+21m+27-16m^3-40m^2+21m+27  

Tags

CCSS.HSA.APR.A.1

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Expand  (2xy)4\left(2x-y\right)^4  

 16x432x3y+24x2y28xy3+y416x^4-32x^3y+24x^2y^2-8xy^3+y^4  

 2x42x3y+2x2y22xy3+y42x^4-2x^3y+2x^2y^2-2xy^3+y^4  

 2x44x3y+6x2y22xy3+y42x^4-4x^3y+6x^2y^2-2xy^3+y^4  

 16x4+32x3y+24x2y2+8xy3+y416x^4+32x^3y+24x^2y^2+8xy^3+y^4  

Tags

CCSS.HSA.APR.C.5

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

 36x263x+109\frac{36x^2-63x+10}{9}  

 4x263x+104x^2-63x+10  

 4x7+1094x-7+\frac{10}{9}  

 36x263x+1036x^2-63x+10  

 4x27x+1094x^2-7x+\frac{10}{9}  

Tags

CCSS.HSA.APR.D.6

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