Free Practice Questions for HI Algebra II EOC

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Exam Review

Key Facts: HI Algebra II EOC Exam

Optional

Algebra II EOC optional at state level

HIDOE Other Assessments

~50

Approximate EOC item count

HIDOE Other Assessments

~45

Algebra 2 operational blueprint length (technical report)

Hawaiʻi EOC Algebra technical report

2 categories

Procedures + Modeling/Problem Solving

Hawaiʻi EOC Algebra technical report

Untimed

Online pause/resume within window

HIDOE

Free

School-administered

HIDOE

Hawaiʻi Algebra II EOC is HIDOE’s free optional online Algebra II end-of-course exam (~50 items, untimed) covering advanced algebraic procedures and modeling.

Sample HI Algebra II EOC Practice Questions

Try these sample questions to review concepts for the HI Algebra II EOC exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which expression is equivalent to (2x + 3)(x − 5)?

A.2x^2 − 7x + 15

B.2x^2 − 15

C.2x^2 + 7x − 15

D.2x^2 − 7x − 15

Explanation: Distribute: 2x·x = 2x^2, 2x·(−5) = −10x, 3·x = 3x, 3·(−5) = −15. Combine like terms: 2x^2 + (−10x + 3x) − 15 = 2x^2 − 7x − 15.

2Factor completely: x^2 − 9x + 20.

A.(x + 4)(x + 5)

B.(x − 2)(x − 10)

C.(x − 4)(x − 5)

D.(x + 4)(x − 5)

Explanation: Find two numbers that multiply to 20 and add to −9: −4 and −5. So x^2 − 9x + 20 = (x − 4)(x − 5).

3Which is a factor of x^3 − 8?

A.x + 2

B.x + 8

C.x − 8

D.x − 2

Explanation: x^3 − 8 is a difference of cubes: a^3 − b^3 = (a − b)(a^2 + ab + b^2) with a = x and b = 2, so (x − 2) is a factor.

4If f(x) = x^3 − 4x^2 + x + 6 and f(2) = 0, which binomial is a factor of f(x)?

A.x + 2

B.x − 6

C.x − 2

D.x − 4

Explanation: By the factor theorem, if f(2) = 0 then (x − 2) is a factor of f(x).

5What is the remainder when p(x) = 2x^3 − x + 5 is divided by (x − 1)?

A.4

B.5

C.2

D.6

Explanation: By the remainder theorem, the remainder is p(1) = 2(1)^3 − 1 + 5 = 2 − 1 + 5 = 6.

6The polynomial p(x) = x^3 − 3x^2 − 4x + 12 has a zero at x = −2. What is the quadratic factor after dividing by (x + 2)?

A.x^2 − 3x − 6

B.x^2 + x − 6

C.x^2 − x − 6

D.x^2 − 5x + 6

Explanation: Synthetic division with root −2 on coefficients 1, −3, −4, 12 yields quotient coefficients 1, −5, 6 with remainder 0. The quadratic factor is x^2 − 5x + 6.

7A cubic polynomial has zeros at x = −1, x = 2, and x = 4. Which could be the polynomial?

A.(x + 1)(x + 2)(x − 4)

B.(x − 1)(x − 2)(x − 4)

C.(x + 1)(x − 2)(x − 4)

D.(x + 1)(x − 2)(x + 4)

Explanation: Zeros at −1, 2, and 4 give factors (x + 1), (x − 2), and (x − 4).

8Expand and simplify: (x − 3)^2.

A.x^2 − 9

B.x^2 − 6x − 9

C.x^2 − 6x + 9

D.x^2 − 3x + 9

Explanation: (x − 3)^2 = x^2 − 2·x·3 + 3^2 = x^2 − 6x + 9.

9Which expression is a polynomial of degree 3?

A.4x^3 − x + 2

B.2/x^3 + 1

C.x^{1/3} + 5

D.√x + x^2

Explanation: A polynomial has non-negative integer exponents only. 4x^3 − x + 2 has highest power 3.

10What is the end behavior of f(x) = −2x^4 + 5x^2 − 1 as x → ±∞?

A.f(x) → −∞ as x → −∞ and f(x) → ∞ as x → ∞

B.f(x) → ∞ as x → −∞ and f(x) → −∞ as x → ∞

C.f(x) → −∞ as x → ±∞

D.f(x) → ∞ as x → ±∞

Explanation: Even degree with negative leading coefficient means both ends go to −∞.

About the HI Algebra II EOC Exam

The Hawaiʻi Algebra II End-of-Course Exam is a current optional statewide online EOC assessing Algebra II course standards. Reporting categories emphasize Algebraic Concepts and Procedures and Modeling and Problem Solving at Algebra II depth. OpenExamPrep free practice uses English-language four-option MCQs as a study aid for standards knowledge and task decisions. It is not an official HIDOE form, not a full simulation of equation entry, constructed responses, or technology-enhanced tasks, and not a substitute for course instruction or the secure EOC exam.

Exam sponsor: Hawaiʻi State Department of Education (HIDOE); EOC portal eoc.alohahsap.org. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Questions

45 questions

Time Limit

Untimed within the EOC window; pause/resume supported; typical completion around 90 minutes.

Passing Score

Immediate online scores. No single public optional-Algebra-II cut score is published on the Other Assessments page; follow school/district reports.

Exam / Certification Fees

Free to students and families; administered by Hawaiʻi public and public charter schools as part of the statewide assessment program (no separate family registration fee published).

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Official sources

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

29–31 of 45 items

Algebraic Concepts and Procedures

Identify, apply, and solve — grade-level algebraic concepts and fluent procedures drawn from the Common Core State Standards for the course.

14–16 of 45 items

Modeling and Problem Solving

Model real-world and mathematical situations, choose and justify strategies, and solve multi-step problems.

Preparing for the HI Algebra II EOC Exam

What You Need to Know

Passing score: Immediate online scores. No single public optional-Algebra-II cut score is published on the Other Assessments page; follow school/district reports.
Exam length: 45 questions
Time limit: Untimed within the EOC window; pause/resume supported; typical completion around 90 minutes.
Exam / certification fees: Free to students and families; administered by Hawaiʻi public and public charter schools as part of the statewide assessment program (no separate family registration fee published). Official sources

Using Our Practice Resources

Work through all 100 available questions
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HI Algebra II EOC: Suggested Study Strategy

1Prioritize procedures: polynomials, rational equations, exponents/logs, and radicals with worked calculations.

2Practice modeling growth/decay, sequences, and systems that require multi-step algebra.

3Connect graphs, tables, and equations for the same function family.

4Use official EOC training tests for online tools.

5Mix easy fluency drills with hard multi-step modeling problems.

Frequently Asked Questions

Is Algebra II EOC required in Hawaiʻi?

HIDOE lists Algebra II as optional. Only Biology I EOC is required for statewide high school science assessment under ESSA.

How many items are on the exam?

HIDOE says around 50 questions; technical materials describe Algebra 2 operational forms around 45 items within blueprint ranges.

What are the reporting categories?

Algebraic Concepts and Procedures and Modeling and Problem Solving, aligned to Algebra II / Common Core expectations.

Is it free?

Yes for students; it is school-administered with no separate family fee published.

Are practice items official?

No. They are English MCQ study adaptations, not secure HIDOE items.

Free Practice Questions for HI Algebra II EOC

Hawaiʻi End-of-Course Exam — Algebra II

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