PracticeVideosBlogFlashcardsEspañol
All Practice Exams

100+ Free Tennessee Comprehensive Assessment Program (TCAP) High School Algebra II End-of-Course Assessment Practice Questions

Prepare for the Tennessee Comprehensive Assessment Program (TCAP) High School Algebra II End-of-Course Assessment exam with instant access — no signup required.

✓ No registration✓ No credit card✓ No hidden fees✓ Start practicing immediately
~40-55% On Track or Mastered Pass Rate
100+ Questions
100% Free

Loading practice questions...

Same family resources

Explore More Tennessee Comprehensive Assessment Program (TCAP)

Continue into nearby exams from the same family. Each card keeps practice questions, study guides, flashcards, videos, and articles in one place.

TCAP Algebra I End-of-Course Assessment

Practice Questions

TCAP Biology End-of-Course Assessment

Practice Questions

TCAP English I End-of-Course Assessment

Practice Questions

TCAP English II End-of-Course Assessment

Practice Questions

TCAP English Language Arts — Grade 3

Practice Questions

TCAP English Language Arts — Grade 4

Practice Questions
2026 Statistics

Key Facts: Tennessee Comprehensive Assessment Program (TCAP) High School Algebra II End-of-Course Assessment Exam

Tennessee Dept of Ed

Official administrator of statewide TCAP EOC assessments

Tennessee Department of Education (TDOE)

Level 3 / Level 4

Performance standards demonstrating On Track or Mastered status

TDOE Accountability System

100 Practice Items

Full-length question bank covering all 5 Tennessee Algebra II domains

OpenExamPrep Practice Bank

Course Grade Impact

EOC score contributes to the student's final Algebra II course grade

TN State Board of Education

Graphing Calculator

Permitted on designated calculator subparts of the exam

TDOE Calculator Policy

Free for Students

Provided at no cost to all TN public high school students

TDOE Funding

Fall & Spring Windows

Administered during official state end-of-course testing windows

TDOE Testing Calendar

30 / 50 / 20 Ratio

Targeted difficulty distribution of 30% easy, 50% medium, and 20% hard

OpenExamPrep Blueprint

Master Tennessee Academic Standards Algebra II for the TCAP EOC with 100 realistic practice questions covering polynomials, logarithms, rational expressions, trigonometry, and statistical inference.

Sample Tennessee Comprehensive Assessment Program (TCAP) High School Algebra II End-of-Course Assessment Practice Questions

Try these sample questions to test your Tennessee Comprehensive Assessment Program (TCAP) High School Algebra II End-of-Course Assessment exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Which expression is the completely factored form of x^4 - 16 over the real numbers?
A.(x^2 - 4)(x^2 + 4)
B.(x - 2)(x + 2)(x^2 + 4)
C.(x - 2)^2 (x + 2)^2
D.(x - 4)(x + 4)(x^2 + 4)
Explanation: First, factor x^4 - 16 as a difference of squares to get (x^2 - 4)(x^2 + 4). Next, factor (x^2 - 4) further as (x - 2)(x + 2). Since (x^2 + 4) has no real linear factors, the completely factored form over the real numbers is (x - 2)(x + 2)(x^2 + 4).
2Simplify the polynomial sum: (3x^3 - 5x^2 + 2x - 7) + (2x^3 + 4x^2 - 6x + 3).
A.5x^3 - x^2 - 4x - 4
B.5x^3 + x^2 - 8x - 10
C.5x^3 - 9x^2 + 8x - 4
D.6x^3 - x^2 - 4x - 4
Explanation: Combine like terms by adding the coefficients of corresponding powers of x: (3+2)x^3 = 5x^3, (-5+4)x^2 = -x^2, (2 - 6)x = -4x, and (-7 + 3) = -4. This yields 5x^3 - x^2 - 4x - 4.
3According to the Remainder Theorem, what is the remainder when P(x) = 2x^3 - 4x^2 + 3x - 5 is divided by x - 3?
A.12
B.17
C.22
D.31
Explanation: By the Remainder Theorem, the remainder when P(x) is divided by x - 3 is equal to P(3). Evaluating P(3) = 2(3)^3 - 4(3)^2 + 3(3) - 5 = 2(27) - 4(9) + 9 - 5 = 54 - 36 + 9 - 5 = 22.
4Multiply the polynomials: (2x - 3)(x^2 + 4x - 5).
A.2x^3 + 5x^2 - 22x + 15
B.2x^3 + 11x^2 - 22x - 15
C.2x^3 + 5x^2 + 2x - 15
D.2x^3 + 8x^2 - 22x + 15
Explanation: Distribute each term in (2x - 3): 2x(x^2 + 4x - 5) = 2x^3 + 8x^2 - 10x, and -3(x^2 + 4x - 5) = -3x^2 - 12x + 15. Combining like terms gives 2x^3 + (8x^2 - 3x^2) + (-10x - 12x) + 15 = 2x^3 + 5x^2 - 22x + 15.
5What is the end behavior of the graph of f(x) = -4x^5 + 3x^3 - 2x + 1?
A.As x -> -infinity, f(x) -> -infinity and as x -> infinity, f(x) -> infinity
B.As x -> -infinity, f(x) -> infinity and as x -> infinity, f(x) -> -infinity
C.As x -> -infinity, f(x) -> infinity and as x -> infinity, f(x) -> infinity
D.As x -> -infinity, f(x) -> -infinity and as x -> infinity, f(x) -> -infinity
Explanation: The leading term is -4x^5, which has an odd degree (5) and a negative leading coefficient (-4). For odd degree polynomials with a negative leading coefficient, as x approaches negative infinity, f(x) approaches positive infinity, and as x approaches positive infinity, f(x) approaches negative infinity.
6What are the real zeros of the function f(x) = x^3 - 9x?
A.x = 0, 9
B.x = -3, 3
C.x = -3, 0, 3
D.x = 0, 3, 9
Explanation: Factor out x to get f(x) = x(x^2 - 9). Then factor the difference of squares to obtain f(x) = x(x - 3)(x + 3). Setting each factor to zero gives the real zeros x = 0, x = 3, and x = -3.
7Simplify the rational expression: (x^2 - 9) / (x^2 + 5x + 6) for all valid values of x.
A.(x - 3) / (x + 2)
B.(x + 3) / (x + 2)
C.(x - 3) / (x - 2)
D.-9 / (5x + 6)
Explanation: Factor both the numerator and denominator: numerator x^2 - 9 = (x - 3)(x + 3), and denominator x^2 + 5x + 6 = (x + 2)(x + 3). Canceling the common factor (x + 3) yields (x - 3) / (x + 2).
8Simplify the radical expression sqrt(72x^5), assuming x >= 0.
A.6x * sqrt(2x)
B.6x^2 * sqrt(2x)
C.36x^2 * sqrt(2x)
D.12x^2 * sqrt(x)
Explanation: Rewrite sqrt(72x^5) as sqrt(36 * 2 * x^4 * x). Taking the square root of 36 and x^4 gives 6x^2 outside the radical, leaving 2x inside: 6x^2 * sqrt(2x).
9Rewrite the expression (64x^6)^(2/3) in simplified exponential form.
A.8x^4
B.16x^3
C.16x^4
D.32x^4
Explanation: Apply the power of a product rule: 64^(2/3) * (x^6)^(2/3). 64^(1/3) = 4, so 4^2 = 16. For the variable term, (x^6)^(2/3) = x^(6 * 2/3) = x^4. The simplified expression is 16x^4.
10Solve the radical equation: sqrt(2x + 5) = 5.
A.x = 10
B.x = 15
C.x = 20
D.x = 25
Explanation: Square both sides to eliminate the radical: 2x + 5 = 25. Subtract 5 from both sides to get 2x = 20, then divide by 2 to find x = 10. Checking x = 10 gives sqrt(25) = 5, which is correct.

About the Tennessee Comprehensive Assessment Program (TCAP) High School Algebra II End-of-Course Assessment Exam

The Tennessee Comprehensive Assessment Program (TCAP) Algebra II End-of-Course Assessment evaluates high school students on the Tennessee Academic Standards for Algebra II. Administered by the Tennessee Department of Education (TDOE), the exam tests mastery in polynomial operations, rational expressions, exponential and logarithmic equations, trigonometric functions, and statistical inference. Please note: This 100-question practice bank is an English-language multiple-choice question (MCQ) study adaptation created by OpenExamPrep to help high school students practice core Tennessee Academic Standards.

Assessment

100 multiple-choice practice questions (English-language MCQ study adaptation for TCAP Algebra II EOC) covering Polynomial Functions (25%), Rational & Radical Expressions (25%), Exponential & Logarithmic Functions (25%), Trigonometry (15%), and Statistics & Data Analysis (10%).

Time Limit

Untimed state subparts (approx. 40–50 min per subpart)

Passing Score

Performance Level 3 (On Track) or Level 4 (Mastered)

Exam Fee

Free for Tennessee public school students. (Tennessee Department of Education (TDOE))

Tennessee Comprehensive Assessment Program (TCAP) High School Algebra II End-of-Course Assessment Exam Content Outline

25%

Polynomial Functions

Polynomial arithmetic, factoring, real and complex zeros, Synthetic Division, Fundamental Theorem of Algebra, and polynomial end behavior.

25%

Rational & Radical Expressions

Simplifying, adding, multiplying rational expressions, solving rational and radical equations, identifying domain restrictions and extraneous roots.

25%

Exponential & Logarithmic Functions

Logarithmic properties, logarithmic and exponential equations, compound interest, exponential growth/decay, and natural logarithms.

15%

Trigonometric Functions

Unit circle values, radian measure, sine, cosine, tangent functions, periodic graphs, amplitude, phase shift, and Pythagorean identities.

10%

Statistics & Probability

Normal distributions, z-scores, standard deviation, sample surveys, margin of error, and evaluating experimental vs observational study conclusions.

How to Pass the Tennessee Comprehensive Assessment Program (TCAP) High School Algebra II End-of-Course Assessment Exam

What You Need to Know

  • Passing score: Performance Level 3 (On Track) or Level 4 (Mastered)
  • Assessment: 100 multiple-choice practice questions (English-language MCQ study adaptation for TCAP Algebra II EOC) covering Polynomial Functions (25%), Rational & Radical Expressions (25%), Exponential & Logarithmic Functions (25%), Trigonometry (15%), and Statistics & Data Analysis (10%).
  • Time limit: Untimed state subparts (approx. 40–50 min per subpart)
  • Exam fee: Free for Tennessee public school students.

Keys to Passing

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

Tennessee Comprehensive Assessment Program (TCAP) High School Algebra II End-of-Course Assessment Study Tips from Top Performers

1Master factoring techniques including difference of squares, sum/difference of cubes, and grouping for polynomial equations.
2Always check for extraneous solutions when solving rational and radical equations.
3Memorize basic logarithm properties: log(ab) = log a + log b, log(a/b) = log a - log b, and log(a^k) = k log a.
4Know key unit circle angles in radians and degrees along with exact values for sin, cos, and tan.
5Understand the empirical rule (68-95-99.7) and z-score formula (z = (x - mu) / sigma) for normal distributions.
6Pace your calculations and re-verify algebraic manipulations to prevent simple sign or arithmetic errors.

Frequently Asked Questions

What is the format of the TCAP Algebra II EOC assessment?

The official TCAP Algebra II EOC is administered in multiple subparts containing multiple-choice and technology-enhanced items. This practice bank provides 100 multiple-choice questions designed to mirror the Tennessee Academic Standards expectations.

How are scores categorized on the Tennessee Algebra II EOC?

Student performance is reported in four performance levels: Below (Level 1), Approaching (Level 2), On Track (Level 3), and Mastered (Level 4). Level 3 and Level 4 indicate college and career readiness in mathematics.

Are graphing calculators permitted on the TCAP Algebra II EOC?

Yes, graphing calculators (such as TI-84 Plus or state-approved calculator tools) are allowed on calculator-permitted subparts of the Algebra II EOC assessment.

Does the TCAP Algebra II EOC count toward final high school grades?

Under Tennessee State Board of Education policy, the EOC score accounts for a percentage (typically 15% to 25%) of the student's final course grade, depending on local school district policy.

What mathematical reference materials are provided during testing?

Students have access to an official TCAP High School Mathematics Reference Sheet containing standard geometric and algebraic formulas, as well as scratch paper.

Is this 100-question practice bank an official state test publication?

This 100-question practice bank is an independent educational practice resource developed by OpenExamPrep aligned to Tennessee Academic Standards and is not officially affiliated with TDOE.