Algebra 2 Factoring Test

Algebra 2 Factoring Test

KG - University

14 Qs

quiz-placeholder

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Algebra 2 Factoring Test

Algebra 2 Factoring Test

Assessment

Quiz

Mathematics

KG - University

Practice Problem

Medium

CCSS
HSA.APR.A.1, HSA.APR.C.4, HSA-REI.B.4B

+3

Standards-aligned

Created by

Elizabeth Weyer

Used 274+ times

FREE Resource

About this resource

This Algebra 2 factoring assessment evaluates students' mastery of polynomial factoring techniques and equation-solving methods at the high school level, specifically grades 9-11. The quiz systematically progresses through essential factoring skills, beginning with finding the greatest common factor (GCF) in polynomial expressions, advancing to factoring by grouping with four-term polynomials, and then covering factoring quadratic trinomials using various approaches. Students must demonstrate proficiency with special factoring patterns including difference of squares, sum and difference of cubes, and the ability to recognize when multiple factoring techniques should be applied sequentially. The final portion transitions to solving quadratic equations using three distinct methods: factoring, the quadratic formula, and completing the square, requiring students to manipulate equations into standard form and apply the appropriate solution technique. Created by Elizabeth Weyer, a Mathematics teacher in the US who teaches grades K-12. This comprehensive assessment serves multiple instructional purposes, functioning effectively as a unit test following instruction on polynomial factoring, a review tool before standardized testing, or a diagnostic assessment to identify specific areas where students need additional support. Teachers can utilize individual sections for targeted practice sessions, assign the complete quiz as homework to reinforce classroom learning, or implement it as a formative assessment to guide instructional decisions about pacing and remediation needs. The quiz directly aligns with Common Core State Standards A-SSE.2 (using the structure of expressions to identify ways to rewrite them) and A-REI.4 (solving quadratic equations in one variable), providing concrete evidence of student achievement in these critical algebraic reasoning standards.

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14 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor out the GCF
18x3 + 24x2 + 36x

3x2(6x2+8x+12)
6x2(3x2+4x+6)
3x(6x2+8x+12)
6x(3x2+4x+6)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

2.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor out the GCF
16x4 + 36x3 – 8x2

2x(8x3+18x2-4x)
4x2(4x2+9x-2)
4x(4x4+9x3-2x2)
2x2(8x2+18x-4)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor
16n2 - 56n2 + 96n - 336 

8 (n+ 6) (2n - 7) 
16 (n2 - 6) (n + 3) 
8 (n2 + 6) (2n + 7) 
16 (n2 - 7) (n - 3) 

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

4.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor
15n3 - 5n2 + 9n - 3 

(5n2 - 3) (3n - 1) 
(5n2 + 3) (3n + 1) 
3 (5n2 - 3) (n - 1) 
(5n2 + 3) (3n - 1) 

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

5.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor
4r3 + 29r2 + 7r 

2 (r - 4) (4r + 3) 
 r (4r + 7) (r + 1) 
 r (r + 7) (4r + 1) 
(r - 7) (4r - 1)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.B.2

6.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor
8r2 + 26r + 21

(2r + 3) (4r + 7)
(2r + 21) (4r + 1)
(4r + 3) (2r + 7)
(r + 9) (4r - 3)

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

7.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Factor
16x4 - y2

(8x2 + y2)(8x2 - y2)
(4x2 + y)(4x2 - y)
(8x2 + y)(8x2 - y)
(4x2 + y2)(4x2 - y2)

Tags

CCSS.HSA.APR.C.4

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