PracticeVideosBlogFlashcardsEspañol
All Practice Exams

100+ Free Tennessee Comprehensive Assessment Program (TCAP) Integrated Math I End-of-Course Assessment Practice Questions

Prepare for the Tennessee Comprehensive Assessment Program (TCAP) Integrated Math I 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 statewide 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 Algebra II 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
2026 Statistics

Key Facts: Tennessee Comprehensive Assessment Program (TCAP) Integrated Math I End-of-Course Assessment Exam

TDOE

Tennessee Department of Education administers the TCAP EOC

Tennessee Department of Education

Level 3 / 4

Performance levels indicating On Track or Mastered proficiency

TDOE Accountability Standard

100 Questions

Comprehensive practice bank for Integrated Math I standards

OpenExamPrep Practice Bank

4 Strands

Linear Algebra, Exponential Models, Geometry, & Statistics

Tennessee Academic Standards

Course Grade %

EOC scores count toward student final high school course grade

TN State Board Policy

Free Access

State-funded assessment for all TN public high school students

TDOE Public Funding

3 Subparts

Exam includes non-calculator and calculator-permitted subparts

TDOE Blueprint

30/50/20 Ratio

Standard difficulty distribution: 30 easy, 50 medium, 20 hard items

OpenExamPrep Blueprint

Master Tennessee Academic Standards for High School Integrated Math I with 100 realistic practice questions covering linear equations and systems, exponential models, rigid geometric transformations, coordinate proofs, and bivariate statistical analysis.

Sample Tennessee Comprehensive Assessment Program (TCAP) Integrated Math I End-of-Course Assessment Practice Questions

Try these sample questions to test your Tennessee Comprehensive Assessment Program (TCAP) Integrated Math I 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.

1Solve the linear equation for $x$: $3x + 7 = 22$.
A.$x = 5$
B.$x = 3$
C.$x = 15$
D.$x = 29/3$
Explanation: Subtract 7 from both sides of the equation: $3x = 22 - 7$, which gives $3x = 15$. Divide both sides by 3 to get $x = 5$.
2Given the linear function $f(x) = 4x - 5$, what is the value of $f(3)$?
A.f(3) = 7
B.f(3) = 12
C.f(3) = 2
D.f(3) = -7
Explanation: Substitute $x = 3$ into the function: $f(3) = 4(3) - 5 = 12 - 5 = 7$. Therefore, the value of $f(3)$ is 7.
3What is the slope of the line passing through the points $(2, 3)$ and $(6, 11)$?
A.m = 2
B.m = 1/2
C.m = 4
D.m = 8
Explanation: Use the slope formula $m = \frac{y_2 - y_1}{x_2 - x_1}$. Substituting the given points gives $m = \frac{11 - 3}{6 - 2} = \frac{8}{4} = 2$.
4What are the coordinates of the y-intercept of the line $y = -3x + 8$?
A.(0, 8)
B.(8, 0)
C.(0, -3)
D.(-3, 8)
Explanation: The y-intercept occurs where $x = 0$. Substituting $x = 0$ into $y = -3(0) + 8$ yields $y = 8$, giving the point $(0, 8)$.
5Simplify the expression $(x^4)(x^7)$.
A.x^11
B.x^28
C.x^3
D.2x^11
Explanation: According to the product rule of exponents ($a^m \cdot a^n = a^{m+n}$), add the exponents when multiplying like bases: $4 + 7 = 11$. The simplified expression is $x^{11}$.
6Evaluate the exponential function $f(x) = 3 \cdot 2^x$ for $x = 4$.
A.f(4) = 48
B.f(4) = 24
C.f(4) = 1296
D.f(4) = 14
Explanation: Evaluate the exponent first: $2^4 = 16$. Then multiply by the coefficient: $3 \cdot 16 = 48$. Thus, $f(4) = 48$.
7Point $P(3, -2)$ is translated 4 units right and 5 units up. What are the coordinates of the image point $P'$?
A.P'(7, 3)
B.P'(-1, 3)
C.P'(7, -7)
D.P'(12, -10)
Explanation: Translate right by adding 4 to x ($3 + 4 = 7$) and up by adding 5 to y ($-2 + 5 = 3$). The image point is $P'(7, 3)$.
8What are the coordinates of point $(5, -4)$ after a reflection across the x-axis?
A.(5, 4)
B.(-5, -4)
C.(-5, 4)
D.(-4, 5)
Explanation: Reflecting across the x-axis negates the y-coordinate while keeping the x-coordinate unchanged: $(x, y) \rightarrow (x, -y)$. Thus, $(5, -4)$ becomes $(5, 4)$.
9Calculate the mean of the data set: $\{4, 8, 12, 16, 20\}$.
A.12
B.10
C.60
D.16
Explanation: Sum all values: $4 + 8 + 12 + 16 + 20 = 60$. Divide by the total count of 5: $60 / 5 = 12$. The mean is 12.
10Find the median of the data set: $\{3, 7, 9, 15, 21\}$.
A.9
B.11
C.7
D.15
Explanation: Since the data set is already ordered and contains 5 elements (an odd number), the median is the middle value, which is 9.

About the Tennessee Comprehensive Assessment Program (TCAP) Integrated Math I End-of-Course Assessment Exam

The Tennessee Comprehensive Assessment Program (TCAP) Integrated Math I End-of-Course (EOC) assessment measures high school student proficiency in the Tennessee Academic Standards for Integrated Mathematics I. Administered by the TDOE, the assessment evaluates algebraic problem-solving, function analysis, geometric transformations, and statistical data interpretation. 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 Integrated Math I EOC) covering Linear Algebra & Functions (35%), Exponential Models (20%), Geometry & Transformations (25%), and Statistics & Data Analysis (20%).

Time Limit

Untimed state subparts (approx. 40–55 min per subpart across 3 subparts)

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) Integrated Math I End-of-Course Assessment Exam Content Outline

35%

Linear Algebra & Functions

Linear equations, inequalities, systems of linear equations, arithmetic sequences, function notation, domain/range, rate of change, linear models.

20%

Exponential Models

Exponential growth and decay functions, geometric sequences, parameters in f(x) = a * b^x, comparing linear vs exponential growth rates.

25%

Geometry & Transformations

Rigid transformations (translations, reflections, rotations), congruence, slope criterion for parallel/perpendicular lines, distance and midpoint formulas.

20%

Statistics & Data Analysis

One-variable data statistics (mean, median, IQR, standard deviation), box plots, two-way frequency tables, scatter plots, line of best fit, correlation coefficient, residuals.

How to Pass the Tennessee Comprehensive Assessment Program (TCAP) Integrated Math I 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 Integrated Math I EOC) covering Linear Algebra & Functions (35%), Exponential Models (20%), Geometry & Transformations (25%), and Statistics & Data Analysis (20%).
  • Time limit: Untimed state subparts (approx. 40–55 min per subpart across 3 subparts)
  • 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) Integrated Math I End-of-Course Assessment Study Tips from Top Performers

1Master solving linear equations and inequalities, including distributing negative signs and flipping inequality signs when multiplying or dividing by negative numbers.
2Understand the connection between slope and rate of change, and memorize the parallel line slope equality (m1 = m2) and perpendicular line negative reciprocal slope rule (m1 * m2 = -1).
3Distinguish clearly between linear models (constant rate of change, constant first differences) and exponential models (constant percentage rate or constant ratio factors).
4Memorize and practice coordinate transformation rules: translations (x+a, y+b), reflections over axes, and 90°/180° rotations about the origin.
5Review box plot interpretations, calculating Interquartile Range (IQR = Q3 - Q1), identifying outliers (1.5 * IQR), and distinguishing correlation from causation in scatter plots.
6Pace yourself across all 100 questions, writing out explicit algebraic steps and checking calculated numerical values against all 4 options.

Frequently Asked Questions

What is the format of the TCAP Integrated Math I EOC test?

The official TCAP Integrated Math I EOC consists of three subparts containing multiple-choice questions, subpart performance tasks, and calculator/non-calculator sections. This OpenExamPrep practice bank provides 100 multiple-choice study items reflecting key state standard expectations.

How are scores reported for the TCAP Integrated Math I EOC?

Student scores are classified into four performance levels: Below (Level 1), Approaching (Level 2), On Track (Level 3), and Mastered (Level 4). Level 3 and Level 4 represent meeting state proficiency standards.

Are calculators allowed on the TCAP Integrated Math I EOC?

Subpart 1 of the official test is strictly non-calculator, while Subparts 2 and 3 permit approved graphing or scientific calculators. Practice items in this bank test both conceptual mental math and calculation-intensive procedures.

Does the Integrated Math I EOC count toward final course grades in Tennessee?

Yes, under Tennessee State Board of Education rules, TCAP EOC scores count as a percentage (typically 15–25%) of a student's final course grade, depending on local school board policy.

What reference materials are provided during the exam?

Students are provided with an official TCAP Mathematics Reference Sheet containing standard geometric formulas (such as distance, midpoint, slope, area, volume) and scratch paper.

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

No, this practice bank is an independent study resource developed by OpenExamPrep aligned to the Tennessee Academic Standards for High School Integrated Math I and is not affiliated with TDOE.