Free Practice Questions for North Carolina EOC NC Math 1

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Key Facts: North Carolina EOC NC Math 1 Exam

NCDPI

State Agency

NC Department of Public Instruction

NC Math 1 (High School)

Course

NCSCOS for Mathematics (2016)

100 Practice Questions

Question Count

OpenExamPrep Bank

NCSCOS NC Math 1 (Number/Quantity/Algebra, Functions, Geometry, Stats)

Standards

NCDPI EOC Math Test Specifications (April 2026)

Prepare for the North Carolina EOC NC Math 1 test with 100 practice questions spanning expressions, equations and systems, linear and exponential functions, coordinate geometry, and data displays and linear models.

Sample North Carolina EOC NC Math 1 Practice Questions

Try these sample questions to review concepts for the North Carolina EOC NC Math 1 exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1A car travels at a constant speed of 55 miles per hour for 2.5 hours. Using the formula d = rt, what distance does the car travel?

A.22 miles

B.57.5 miles

C.137.5 miles

D.22 miles per hour

Explanation: Using d = rt: d = 55 × 2.5 = 137.5. The unit is miles (distance), so the car travels 137.5 miles.

2Which unit is most appropriate for measuring the height of a standard residential door?

A.millimeters

B.meters

C.kilometers

D.square meters

Explanation: A door is about 2 meters tall, so meters give a sensible, appropriately sized measurement. Millimeters are too small (thousands), kilometers are far too large, and square meters measure area, not length.

3A runner completes a 5 km race in 24 minutes 17 seconds. To report her average speed to an appropriate level of accuracy, which value is best?

A.12 km/h

B.12.4 km/h

C.12.35 km/h

D.12.354 km/h

Explanation: Time = 24 + 17/60 ≈ 24.2833 min = 0.40472 h. Speed = 5 ÷ 0.40472 ≈ 12.354 km/h, which rounds to 12.4 km/h. Because the race time is measured only to the nearest second, reporting to the tenths place matches the precision of the data; extra digits claim accuracy the measurements do not support.

4Consider the expression 3x² + 5x − 2. What is the coefficient of x?

A.2

B.3

C.5

D.−2

Explanation: In 3x² + 5x − 2, the term containing x is 5x, so the coefficient of x is 5. The 3 is the coefficient of x², and −2 is the constant term.

5How many terms are in the expression 4x³ − 2x² + 7x − 9?

A.1

B.2

C.3

D.4

Explanation: Terms are separated by + or − signs. The expression 4x³ − 2x² + 7x − 9 has four terms: 4x³, −2x², 7x, and −9.

6Add the polynomials: (2x² + 3x − 5) + (x² − 4x + 2).

A.3x² − x − 3

B.3x² + 7x − 3

C.2x² − x − 3

D.3x² − x − 7

Explanation: Combine like terms: (2x² + x²) + (3x − 4x) + (−5 + 2) = 3x² − x − 3.

7Subtract the polynomials: (5x² − 2x + 3) − (2x² + 4x − 1).

A.3x² − 6x + 4

B.3x² + 2x + 2

C.3x² − 6x + 2

D.7x² − 6x + 4

Explanation: Distribute the negative and combine like terms: (5x² − 2x + 3) − 2x² − 4x + 1 = (5−2)x² + (−2−4)x + (3+1) = 3x² − 6x + 4.

8Multiply: 3x(2x + 5).

A.6x² + 15x

B.6x + 15

C.6x² + 5x

D.6x² + 15

Explanation: Distribute 3x across the binomial: 3x·2x = 6x² and 3x·5 = 15x, giving 6x² + 15x.

9Multiply the binomials: (x + 3)(x + 4).

A.x² + 7x + 12

B.x² + 12x + 7

C.x² + 7x + 7

D.2x + 7

Explanation: Use FOIL: x·x = x², x·4 = 4x, 3·x = 3x, 3·4 = 12. Combine: x² + (4x+3x) + 12 = x² + 7x + 12.

10The area of a triangle is given by A = (1/2)bh. Solve this formula for h.

A.h = A/(2b)

B.h = 2A/b

C.h = 2b/A

D.h = b/(2A)

Explanation: Multiply both sides by 2: 2A = bh. Then divide by b: h = 2A/b.

About the North Carolina EOC NC Math 1 Exam

The North Carolina EOC NC Math 1 Test measures proficiency on the NCSCOS for Mathematics across Number & Quantity and Algebra, Functions, Geometry, and Statistics & Probability. It is administered online through NCTest at course completion with calculator inactive and calculator active sections. This 100-question practice bank is an English-language MCQ study adaptation with worked calculation items.

Exam sponsor: North Carolina Department of Public Instruction (NCDPI). The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Online mathematics assessment delivered through NCTest with four-response-option multiple-choice, gridded response/numeric entry, and technology-enhanced items; calculator inactive and calculator active sections. This local bank contains 100 English four-option practice MCQs across 4 standards domains.

Time Limit

Estimated 180 minutes; maximum 240 minutes

Passing Score

Four achievement levels: Not Proficient, Level 3, Level 4, Level 5. Level 3 and above denotes proficiency. EOC results count as at least 20% of the final course grade.

Exam / Certification Fees

No fee to students

Exam sponsor website

Reported exam pass rate: Not applicable (achievement levels are reported). Exam sponsor website

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

Official sources

NCDPI EOC NC Math 1 and NC Math 3 Test Specifications
NCSCOS for Mathematics (2016)
NCTest released forms and Desmos graphing calculator

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.

36-40%

Number & Quantity and Algebra

Reason with quantities and units, build and interpret expressions and equations, perform polynomial arithmetic, solve equations and inequalities, and solve systems of equations.

32-36%

Functions

Understand functions as mappings, interpret and compare functions, build and interpret linear and exponential functions, and solve problems using function models.

8-12%

Geometry

Use coordinates to prove geometric theorems and solve problems involving distance, midpoint, slope, parallel/perpendicular lines, and partitioning segments.

18-20%

Statistics & Probability

Summarize and interpret categorical and quantitative data, interpret linear models, and compare two data distributions.

Preparing for the North Carolina EOC NC Math 1 Exam

What You Need to Know

Passing score: Four achievement levels: Not Proficient, Level 3, Level 4, Level 5. Level 3 and above denotes proficiency. EOC results count as at least 20% of the final course grade.
Assessment: Online mathematics assessment delivered through NCTest with four-response-option multiple-choice, gridded response/numeric entry, and technology-enhanced items; calculator inactive and calculator active sections. This local bank contains 100 English four-option practice MCQs across 4 standards domains.
Time limit: Estimated 180 minutes; maximum 240 minutes
Exam / certification fees: No fee to students Official sources

Using Our Practice Resources

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

North Carolina EOC NC Math 1: Suggested Study Strategy

1Isolate variables and check solutions by substituting back into the original equation.

2Tell linear and exponential functions apart by whether they add a constant or multiply by a constant factor.

3Use the distance and midpoint formulas together for coordinate-geometry proofs.

4Describe a data set with shape, center, and spread, and compare two distributions on the same scale.

Frequently Asked Questions

What is the NC EOC NC Math 1 test?

It measures proficiency on the NCSCOS for Mathematics via an online assessment delivered through NCTest with multiple-choice, gridded response, and technology-enhanced items in calculator inactive (15) and calculator active (35) sections. Results count as at least 20% of the final course grade.

Are calculators allowed?

Yes — NC Math 1 has a calculator inactive section (15 items) and a calculator active section (35 items). A graphing calculator (or the online Desmos graphing calculator) is used on calculator active items.

Is this practice bank affiliated with NCDPI?

No. It is an independent study resource covering topics from the public NCSCOS for Mathematics NC Math 1; it is not an official NCTest product.