Math 3 EOC released items
Authored by Jennifer Parker
Mathematics
9th - 12th Grade
CCSS covered
Used 257+ times
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This Math 3 EOC (End of Course) assessment covers advanced high school mathematics topics appropriate for grades 11-12. The quiz comprehensively evaluates polynomial functions, including polynomial division using the remainder theorem, finding zeros of higher-degree polynomials, and analyzing complex and real roots. Students must demonstrate mastery of absolute value functions and their transformations, rational work problems involving rates, factoring complex expressions including difference of cubes patterns, and solving systems where polynomial and absolute value functions intersect. Additional topics include function transformations and their effects on graphs, exponential equations requiring logarithmic solutions, circle equations in general form, geometric relationships involving segments and radii, and statistical sampling methods. The mathematical reasoning required includes algebraic manipulation, graphical analysis, understanding of function behavior, and application of multiple solution strategies across diverse problem types. Created by Jennifer Parker, a Mathematics teacher in US who teaches grade 9-12. This comprehensive assessment serves as an excellent end-of-course evaluation tool, perfectly suited for final exam preparation, cumulative review sessions, or benchmark testing in advanced algebra and pre-calculus courses. Teachers can deploy individual sections as targeted practice for specific concepts like polynomial operations or function transformations, while the complete quiz functions effectively as a summative assessment measuring student readiness for calculus-level mathematics. The variety of question types supports differentiated instruction, allowing educators to identify specific skill gaps and provide focused remediation. This assessment aligns with Common Core State Standards A-APR.2, A-APR.3, and A-APR.6 for polynomial operations and factoring, F-IF.7 and F-BF.3 for function analysis and transformations, A-REI.11 for solving systems graphically, G-GPE.1 for circle equations, and S-IC.1 for statistical sampling methods, making it an invaluable resource for standards-based instruction and assessment.
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23 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the remainder when x3-1 is divided by (x+2)?
-9
7
-3
1
Tags
CCSS.HSA.APR.B.2
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The function below, f(x), has (x - 7) and (x + 4i) as factors.
f(x)=2x5 - 13x4 + 22x3 - 187x2 - 160x + 336
WHat is the total number of real zeroes of f(x)?
7
3
1
4
Tags
CCSS.HSA.APR.B.2
CCSS.HSA.APR.B.3
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
The graph of the function m(x) = x3+3x2-2x-4 has a zero at -1. What are the other zeroes of the function?
-2 and 2
-1 and 4
-1 + sqrt(5)
1 + 2sqrt(3)
Tags
CCSS.HSA.APR.B.2
CCSS.HSA.APR.B.3
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A
B
C
D
Tags
CCSS.HSA.APR.D.6
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A
B
C
D
Tags
CCSS.HSA.APR.D.6
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
A
B
C
D
Tags
CCSS.HSA.CED.A.1
CCSS.HSA.CED.A.3
CCSS.HSA.REI.B.3
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the equation of the graph?
y = |x| - 2
y = |2x| - 2
y = |x - 2|
y = |2x - 2|
Tags
CCSS.HSF-IF.C.7D
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