100+ Free SC EOCEP Algebra 1 Practice Questions

Prepare for the South Carolina End-of-Course Examination Program (EOCEP) Algebra 1 exam with instant access — no signup required.

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2026 Statistics

Key Facts: SC EOCEP Algebra 1 Exam

SCDE

State Body

South Carolina Department of Education

20%

Course Grade Impact

EOCEP Grading Policy

DRC INSIGHT

Delivery Platform

Data Recognition Corporation

Operational items on the official test

EOCEP Algebra 1 Test Blueprint 2025-26

100 MCQs

Practice questions in this free bank

OpenExamPrep Practice Bank

2025 SC CCR Mathematics

Target Standards

SC Academic Standards

The EOCEP Algebra 1 test has 50 operational items across three reporting categories and counts 20% of the course grade. This free bank adds 100 English-language MCQ practice questions weighted to those categories, with worked solutions and an explanation for every wrong choice; it is a study aid, not a simulation of the official technology-enhanced item types.

Sample SC EOCEP Algebra 1 Practice Questions

Try these sample questions to test your SC EOCEP Algebra 1 exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Simplify the expression (3x^4)(5x^3).

A.15x^12

B.15x^7

C.8x^7

D.15x^1

Explanation: Multiply the coefficients (3 × 5 = 15) and add the exponents of like bases (4 + 3 = 7), yielding 15x^7.

2Simplify the expression (24y^8) / (6y^2) for y ≠ 0.

A.4y^6

B.4y^4

C.18y^6

D.4y^10

Explanation: Divide the coefficients (24 / 6 = 4) and subtract the exponents of the variable (8 - 2 = 6), obtaining 4y^6.

3Which expression is equivalent to (2a^3 * b^-2)^4?

A.8a^7 / b^6

B.16a^12 / b^8

C.16a^7 / b^2

D.8a^12 / b^8

Explanation: Apply the power of a product rule: 2^4 * (a^3)^4 * (b^-2)^4 = 16 * a^12 * b^-8 = 16a^12 / b^8.

4Simplify ((x^-3 * y^5) / (x^2 * y^-1))^-2.

A.x^10 / y^12

B.x^2 / y^8

C.y^12 / x^10

D.x^10 * y^12

Explanation: Inside parentheses: x^(-3 - 2) * y^(5 - (-1)) = x^-5 * y^6. Raising to -2 gives (x^-5 * y^6)^-2 = x^10 * y^-12 = x^10 / y^12.

5Rewrite x^(5/3) in radical form.

A.∛(x^5)

B.∜(x^3)

C.5 * ∛(x)

D.3 * ∜(x)

Explanation: For a fractional exponent x^(m/n), the denominator n is the root index and numerator m is the power: x^(5/3) = ∛(x^5).

6Evaluate the expression 27^(2/3) + 16^(3/4).

A.17

B.25

C.14

D.35

Explanation: 27^(2/3) = (∛27)^2 = 3^2 = 9. 16^(3/4) = (∜16)^3 = 2^3 = 8. Sum = 9 + 8 = 17.

7Simplify the radical expression √(72).

A.6√2

B.12√2

C.36√2

D.2√6

Explanation: Factor out the largest perfect square: √(72) = √(36 × 2) = √36 × √2 = 6√2.

8Simplify 3√(20) - 2√(45) + √(80).

A.4√5

B.5√5

C.0

D.6√5

Explanation: Simplify each radical: 3√(20) = 3(2√5) = 6√5; 2√(45) = 2(3√5) = 6√5; √(80) = 4√5. Combined: 6√5 - 6√5 + 4√5 = 4√5.

9What is the product (2√3)(√15) in simplest radical form?

A.6√5

B.2√45

C.10√3

D.30

Explanation: (2√3)(√15) = 2√(45) = 2√(9 × 5) = 2(3)√5 = 6√5.

10Simplify the quotient √(54x^5) / √(6x) assuming x > 0.

A.3x^2

B.9x^4

C.3x^4

D.9x^2

Explanation: Combine under one radical: √((54x^5) / (6x)) = √(9x^4) = 3x^2.

About the SC EOCEP Algebra 1 Exam

The South Carolina End-of-Course Examination Program (EOCEP) Algebra 1 assessment is the statewide end-of-course test for the Algebra 1 gateway course, measuring the 2025 South Carolina College- and Career-Ready Mathematics Standards. It is administered online in one untimed section of 50 operational items and counts as 20% of the student's final grade in the course.

Assessment

One untimed online section of 50 operational items across three reporting categories: Statistical and Geometrical Modeling with Numerical Reasoning (13-17 items), Patterns and Algebraic Reasoning (20-24 items), and Functional Reasoning (13-17 items). Depth of Knowledge ranges are DOK 1 at 15-40%, DOK 2 at 45-75%, and DOK 3 at 0-10%.

Time Limit

Not timed; the test must be completed within one school day.

Passing Score

No pass mark is set. The EOCEP score counts as 20% of the student's final course grade in Algebra 1, which is then reported on South Carolina's uniform 10-point grading scale.

Exam Fee

No fee to students (South Carolina Department of Education (SCDE); online delivery on DRC INSIGHT (Data Recognition Corporation))

SC EOCEP Algebra 1 Exam Content Outline

13-17 of 50 items

Statistical and Geometrical Modeling; Numerical Reasoning

Two-way frequency tables, scatterplots and linear association, line of best fit and correlation coefficient, interpreting slope and intercept, interpolation and extrapolation, limitations of a real-world model, and radical and rational-exponent expressions limited to square and cube roots.

20-24 of 50 items

Patterns and Algebraic Reasoning

Solving and transforming linear, quadratic, exponential, and linear absolute value equations; literal equations; polynomial addition, subtraction, and multiplication; quadratics by factoring, completing the square, and the quadratic formula; inequalities; arithmetic and geometric sequences; and systems of linear equations.

13-17 of 50 items

Functional Reasoning

Function notation, domain and range, key features of graphs, translating among graphical, tabular, verbal, and symbolic representations, the effect of the lead coefficient, transformations of parent functions, and comparing key features of two functions.

How to Pass the SC EOCEP Algebra 1 Exam

What You Need to Know

Passing score: No pass mark is set. The EOCEP score counts as 20% of the student's final course grade in Algebra 1, which is then reported on South Carolina's uniform 10-point grading scale.
Assessment: One untimed online section of 50 operational items across three reporting categories: Statistical and Geometrical Modeling with Numerical Reasoning (13-17 items), Patterns and Algebraic Reasoning (20-24 items), and Functional Reasoning (13-17 items). Depth of Knowledge ranges are DOK 1 at 15-40%, DOK 2 at 45-75%, and DOK 3 at 0-10%.
Time limit: Not timed; the test must be completed within one school day.
Exam fee: No fee to 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

SC EOCEP Algebra 1 Study Tips from Top Performers

1Master exponent rules and radical simplifications, converting freely between fractional exponents and radicals.

2Practice factoring all types of quadratics: GCF, difference of squares, and trinomials with a = 1 and a > 1.

3Know how to find vertex, axis of symmetry, intercepts, and domain/range for linear, quadratic, and exponential functions.

4Be fluent in solving systems of equations using both substitution and elimination methods.

5Understand correlation coefficients (r), line of best fit predictions, and how to read residual plots.

Frequently Asked Questions

What is the SC EOCEP Algebra 1 exam?

It is South Carolina's statewide end-of-course test for the Algebra 1 gateway course, administered by the SCDE to measure the 2025 South Carolina College- and Career-Ready Mathematics Standards.

How many questions are on the EOCEP Algebra 1 test?

The 2025-26 blueprint specifies 50 operational items, and the spring administration may add 8 to 10 embedded field-test items that do not count toward the score.

How much does the EOCEP Algebra 1 score count toward the final grade?

The EOCEP score counts as 20 percent of the student's final grade in the Algebra 1 course.

Is the EOCEP Algebra 1 exam timed?

No. EOCEP tests are not timed, but each test must be completed within one school day.

Are calculators allowed on the EOCEP Algebra 1 test?

Yes. The embedded Desmos scientific and graphing testing calculators are the recommended tools, and students may instead use a scientific calculator or an SCDE-approved handheld graphing calculator (TI-73, TI-83/84 series, TI-Nspire family, Casio fx-9750GIII or fx-CG50 PRIZM, or NumWorks). Calculators with a Computer Algebra System are not allowed, and school staff must clear approved handhelds before and after testing.

Is this 100-question bank the same format as the real test?

No. The official test mixes multiple-choice with technology-enhanced items such as drag-and-drop and multi-select. This bank is an English-language four-option MCQ study adaptation built from the published blueprint and standards; use it to practice the underlying reasoning, not to rehearse the on-screen item formats.