• 50 questions

SC EOC Algebra Practice Test

Fifty Algebra 1 questions spread over the three reporting categories of South Carolina's end-of-course blueprint.

A two-way table sorts 120 students. Of the 80 who play a sport, 30 are in band. Of the 40 who play no sport, 20 are in band. What percent of the band members play a sport?

Pick an answer, then press Check answer. Then you see Correct or Not quite, with the reason. Keys: A to D pick, Enter checks.

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Unofficial practice questions, not affiliated with the South Carolina Department of Education. Bank checked October 9, 2026.

The real test: South Carolina Algebra 1 EOC

Questions
50
Time limit
None
Items
50 operational items, each worth 1 point. The spring test may add 8 to 10 field test items.
Reporting categories
Statistical and Geometrical Modeling; Numerical Reasoning 13 to 17 items. Patterns and Algebraic Reasoning 20 to 24. Functional Reasoning 13 to 17.
Calculator
Available on every item. The online test gives the Desmos scientific and graphing calculators.
Item types
Selected-response with four options, technology-enhanced and constructed-response items, all scored by machine.
Scores
A scale score from 0 to 100 with a letter grade: A 90 to 100, B 80 to 89, C 70 to 79, D 60 to 69, F 0 to 59. It is not the percent of questions right.
Course grade
The score counts 20 percent in the final grade of the course.

Checked October 9, 2026 against the Algebra 1 Test Blueprint 2026-27, the item type descriptions, the calculator requirements, the EOCEP Score Report User's Guide and the EOCEP page, South Carolina Department of Education. Rules change, so confirm with the agency itself before your test.

The state's EOCEP page

Next step More Algebra 1 EOC questionsReview: pre-algebra practice

All 50 questions

Statistical and Geometrical Modeling; Numerical Reasoning 14

  • A line drawn through the points of a scatterplot passes through (2, 11) and (6, 23). Which function describes the line? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.DPSR.1.3
  • A linear model was fit to plant heights measured on days 5 through 20. For which day is a prediction from the model least reliable? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.DPSR.2.3
  • A model for the price y, in dollars, of a pizza with x toppings is y = 1.75x + 9. What does the 9 represent? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.DPSR.2.2
  • A rectangular garden is x feet long and x − 4 feet wide. Which limitation on x makes sense for the situation? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.MGSR.1.1
  • A table shows hours driven, 1, 2, 3 and 4, and gallons of fuel left, 13, 11, 9 and 7. How are the two variables associated? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.DPSR.1.2
Show all 50 questions (45 more)

Statistical and Geometrical Modeling; Numerical Reasoning, continued

  • A two-way table sorts 120 students. Of the 80 who play a sport, 30 are in band. Of the 40 who play no sport, 20 are in band. What percent of the band members play a sport? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.DPSR.1.1
  • For shoe size and test score, technology gives a correlation coefficient of r = 0.15. Which statement is true? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.DPSR.1.4
  • Four data sets have these correlation coefficients. Which shows the strongest linear association? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.DPSR.1.4
  • The function h(t) = −16t² + 48t models the height in feet of a ball t seconds after it is kicked from the ground. Which limitation applies to the model? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.MGSR.1.1
  • In a survey, 45 of 60 dog owners walk every day, and 20 of 80 people without a dog walk every day. One daily walker is chosen at random. What is the probability that the person owns a dog? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.DPSR.2.1
  • Savings data for weeks 1 to 10 fit the linear model y = 12x + 30, where y is dollars saved after x weeks. What does the model predict for week 6? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.DPSR.2.3
  • What is the value of 16^(3/2)? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.NR.2.1
  • What is √6 · √15 in simplest form? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.NR.1.1
  • What is √12 + √27 in simplest form? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.NR.1.1

Patterns and Algebraic Reasoning 22

  • A geometric sequence has the explicit formula aₙ = 5 · 2ⁿ⁻¹. Which recursive rule gives the same sequence? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.2.5
  • A quadratic function has the linear factors (x + 4) and (x − 1). Where does its graph cross the x-axis? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.2.2
  • A sequence is defined by a₁ = 4 and aₙ = aₙ₋₁ + 6. Which explicit formula gives the same sequence? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.2.5
  • A shop rents a bike for $18 plus $7.50 for each hour. Zoe pays $55.50. For how many hours did she rent the bike? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.1.3
  • A table has x-values 0, 1, 2, 3 and y-values 80, 40, 20, 10. Which function models the table? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.2.6
  • The amount in an account that earns simple interest is A = P + Prt. Which equation is solved for t? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.1.2
  • Compare f(x) = 5x + 3 and g(x) = 3^x. How much does each function grow from x = 3 to x = 4? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.2.10
  • The graphs of f(x) = x² and g(x) = 2x + 8 intersect at two points. What are the solutions of f(x) = g(x)? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.2.8
  • The graphs of y = 2x − 1 and y = −x + 8 are drawn on the same axes. At which point do they intersect? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.2.7
  • How many solutions does the system y = −2x + 5 and 4x + 2y = 3 have? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.2.9
  • To solve x² + 10x = 11 by completing the square, which number is added to both sides? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.2.2
  • What are the solutions of 3x² − 4x − 2 = 0? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.2.2
  • What are the solutions of x² − 5x = 24? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.1.3
  • What are the solutions of |3x + 1| = 10? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.1.3
  • What is the maximum value of f(x) = −3x² + 12x + 1? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.2.3
  • What is the slope of the graph of 6x − 2y = 10? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.2.1
  • What is the solution of 5^(x − 1) = 125? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.1.3
  • What is the solution of the system 4x + 3y = 10 and 2x − 3y = 14? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.2.9
  • Which equation has the same solution as 4x − 7 = 2x + 9? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.1.1
  • Which expression is equivalent to (2x² − 3x + 4) + (5x² + x − 9)? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.1.4
  • Which is f(x) = x² + 6x + 5 written in vertex form? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.2.1
  • Which point is a solution of 2x − y > 5? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.2.4

Functional Reasoning 14

  • A ball is thrown upward. Its height rises, reaches a highest point, then falls back. Which parent function best models height over time? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.4.2
  • A function is given by the ordered pairs (−2, 5), (0, 1), (3, 5) and (4, −1). What is its range? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.3.2
  • A hiker starts at 500 meters, climbs steadily for 3 hours, rests at the top for 1 hour, then walks down for 2 hours. On which interval of time t, in hours, is the elevation function constant? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.3.3
  • Compare the average rate of change of f(x) = 3x + 1 and g(x) = 2^x from x = 0 to x = 2. Which statement is true? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.4.3
  • Each choice lists the x-values and y-values of a table in order. Which table does NOT represent a function? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.3.2
  • The function d gives the distance between a number x and 0 on the number line. Which parent function models d? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.4.2
  • The graph of f(x) = (x + 1)(x − 5) has x-intercepts at −1 and 5. What is the x-coordinate of its minimum point? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.3.3
  • The graph of g(x) = k · x² passes through the point (2, 12). What is the value of k? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.4.1
  • How does the graph of y = −3x² compare with the graph of y = x²? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.3.4
  • If f(x) = 4x − 9 and f(a) = 15, what is the value of a? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.3.1
  • The parent function f(x) = |x| has its vertex at (0, 0). Where is the vertex of g(x) = f(x − 3) + 2? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.4.1
  • The point (3, −2) is on the graph of y = f(x). Which statement must be true? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.3.1
  • What is the range of f(x) = x² + 2, in interval notation? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.3.2
  • Which linear function has the steepest graph? 2025 South Carolina College- and Career-Ready Mathematics Standards, Algebra 1, indicator A1.PAFR.3.4

How this list was compiled: Outline: Algebra 1 Test Blueprint 2026-27, South Carolina Department of Education, Office of Assessment and Standards, https://ed.sc.gov/tests/tests-files/eocep-files/eocep-algebra-1-blueprint/, linked from the department's Test Blueprints page, https://ed.sc.gov/tests/assessment-information/quick-links-for-teachers/test-blueprints/, read 2026-10-09. Each question names the indicator it practices in the Printable Algebra 1 Standards (2025 South Carolina College- and Career-Ready Mathematics Standards), https://ed.sc.gov/tests/high/eocep/printable-algebra-1-standards/, reached from the End-of-Course Examination Program page, https://ed.sc.gov/tests/high/eocep/, read 2026-10-09. The answers are arithmetic and algebra on the numbers in the question, worked out a second time. Licence: Own work. Questions, answer choices and explanations were written for this site. Nothing is copied or reworded from an End-of-Course Examination Program test, a sample item of the state or another practice test.

How it works

Unofficial practice for the Algebra 1 test of South Carolina's End-of-Course Examination Program, EOCEP. The questions are our own, written from the 2025 state standards; none comes from a real test. Not affiliated with the South Carolina Department of Education.

Read the full guide

What the SC Algebra 1 end of course test covers

The 2026-27 blueprint has three reporting categories. Patterns and Algebraic Reasoning is the largest, 20 to 24 of the 50 items: equations, polynomials, quadratics, sequences and systems. Functional Reasoning has 13 to 17: function notation, domain and range, transformations and parent functions. The third, also 13 to 17, joins statistical modeling with radicals and rational exponents.

Where the answers come from

Each question shows the indicator it practices, such as A1.PAFR.2.9, from the state's printable Algebra 1 standards. An answer is never taken from a key: it is worked from the numbers in the question, then worked once more.

  • A calculator is available on every item of the real test, so practice with the graphing calculator you will use.

Questions and answers

How many questions are on the SC Algebra 1 EOC?

50 operational items, each worth 1 point, and the spring test may add 8 to 10 field test items. The test is not timed. This page has 50 questions, all with four choices.

How much does the Algebra 1 EOC count in South Carolina?

The state says an EOCEP score makes up 20 percent of the student's final course grade.

How is the SC Algebra 1 end of course practice test scored against the real one?

This page gives a percent. The real test gives a scale score from 0 to 100 with a letter grade, where A is 90 to 100 and F is 59 or less. The state says the scale score is not the percent answered correctly.

Is this the EOC Algebra 1 practice test South Carolina schools give?

No. It is unofficial and was written for this site. The South Carolina Department of Education posts sample items of its own, and the box under the questions links to its EOCEP page.

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