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Georgia State Assessments · Georgia Milestones EOC · Algebra

Georgia Milestones Algebra EOC Practice Test

Build high school Georgia Milestones Algebra readiness with five focused 10-question practice sets for equations, functions, quadratics, geometry, statistics, probability, and modeling.

Georgia Milestones Algebra EOC practice sets

This Georgia Milestones Algebra EOC Practice Test page provides five short practice sets with 10 original multiple-choice questions each. The sets cover linear equations, functions, quadratics, polynomials, sequences, geometry, statistics, probability, and mathematical modeling.

Algebra EOC skills covered

  • Solving linear equations, inequalities, systems, absolute value equations, and square root domains
  • Analyzing slope, function notation, arithmetic and geometric sequences, quadratics, roots, vertices, discriminants, and exponential models
  • Working with polynomial operations, factoring, rational expressions, proportions, and unit conversions
  • Applying the Pythagorean theorem, circle area, similarity, midpoint, probability, data transformations, correlation, and conditional rates
  • Building and evaluating cost, population, quadratic, function, feasible-region, residual, and statistical models

How to use this page

Complete one 10-question set at a time. Write an equation or representation for every problem, substitute your answer back into the original expression when possible, and review the explanation after each response.

This is supplemental State Test Practice, State Assessment Practice, and Standardized Test Practice. Georgia course names and EOC details can change; current Georgia guidance refers to Algebra: Concepts and Connections, so check official assessment information before test day.

Review the Georgia State Test Practice hub, the Georgia State Assessments category, and the official Georgia Milestones Assessment System for current course and assessment information.

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5 Tests
1. Test2. Test3. Test4. Test5. Test

2. Test

Georgia Milestones Algebra EOC Practice Questions

A 10-question Georgia Milestones Algebra EOC practice set on quadratic and exponential models, with answers and explanations.

Read each problem carefully, select the equation, graph, calculation, or model that answers it, and review the explanation after responding.

10 Questions
0/10 Questions0 %
Correct 0
Incorrect 0
Unanswered 10
1. QuestionMultiple choice

Which is the factored form of x² − 5x + 6?

Please select an answer first.

Correct answer: A

The correct answer is (x − 2)(x − 3).

  1. Identify the model: Determine the expression, equation, function, geometric relationship, sequence, or data model represented by the problem.
  2. Apply the algebra: The factors −2 and −3 multiply to 6 and add to −5.
  3. Check the result: Substitute, graph, estimate, or compare the answer to confirm that it fits the Georgia Milestones Algebra EOC task.

The factors −2 and −3 multiply to 6 and add to −5.

2. QuestionMultiple choice

What are the solutions of x² − 9 = 0?

Please select an answer first.

Correct answer: B

The correct answer is x = 3 or x = −3.

  1. Identify the model: Determine the expression, equation, function, geometric relationship, sequence, or data model represented by the problem.
  2. Apply the algebra: x² = 9 gives x = ±3.
  3. Check the result: Substitute, graph, estimate, or compare the answer to confirm that it fits the Georgia Milestones Algebra EOC task.

x² = 9 gives x = ±3.

3. QuestionMultiple choice

What is the vertex of y = −(x − 1)² + 4?

Please select an answer first.

Correct answer: C

The correct answer is (1, 4).

  1. Identify the model: Determine the expression, equation, function, geometric relationship, sequence, or data model represented by the problem.
  2. Apply the algebra: Vertex form gives vertex (h, k) = (1, 4).
  3. Check the result: Substitute, graph, estimate, or compare the answer to confirm that it fits the Georgia Milestones Algebra EOC task.

Vertex form gives vertex (h, k) = (1, 4).

4. QuestionMultiple choice

Which situation is best modeled by exponential decay?

Please select an answer first.

Correct answer: D

The correct answer is A substance loses 12 percent of its amount each hour..

  1. Identify the model: Determine the expression, equation, function, geometric relationship, sequence, or data model represented by the problem.
  2. Apply the algebra: A repeated percent decrease multiplies the previous amount and represents exponential decay.
  3. Check the result: Substitute, graph, estimate, or compare the answer to confirm that it fits the Georgia Milestones Algebra EOC task.

A repeated percent decrease multiplies the previous amount and represents exponential decay.

5. QuestionMultiple choice

What is the discriminant of x² + 4x + 1 = 0?

Please select an answer first.

Correct answer: A

The correct answer is 12.

  1. Identify the model: Determine the expression, equation, function, geometric relationship, sequence, or data model represented by the problem.
  2. Apply the algebra: The discriminant b² − 4ac is 4² − 4(1)(1) = 12.
  3. Check the result: Substitute, graph, estimate, or compare the answer to confirm that it fits the Georgia Milestones Algebra EOC task.

The discriminant b² − 4ac is 4² − 4(1)(1) = 12.

6. QuestionMultiple choice

Which equation has roots 2 and 5?

Please select an answer first.

Correct answer: B

The correct answer is x² − 7x + 10 = 0.

  1. Identify the model: Determine the expression, equation, function, geometric relationship, sequence, or data model represented by the problem.
  2. Apply the algebra: The polynomial with roots 2 and 5 is (x − 2)(x − 5) = x² − 7x + 10.
  3. Check the result: Substitute, graph, estimate, or compare the answer to confirm that it fits the Georgia Milestones Algebra EOC task.

The polynomial with roots 2 and 5 is (x − 2)(x − 5) = x² − 7x + 10.

7. QuestionMultiple choice

A population is modeled by P(t) = 200(1.05)^t. What does 1.05 represent?

Please select an answer first.

Correct answer: C

The correct answer is A 5 percent growth factor per time period.

  1. Identify the model: Determine the expression, equation, function, geometric relationship, sequence, or data model represented by the problem.
  2. Apply the algebra: Multiplication by 1.05 means a 5 percent increase each period.
  3. Check the result: Substitute, graph, estimate, or compare the answer to confirm that it fits the Georgia Milestones Algebra EOC task.

Multiplication by 1.05 means a 5 percent increase each period.

8. QuestionMultiple choice

How does y = (x + 3)² compare with y = x²?

Please select an answer first.

Correct answer: D

The correct answer is It is shifted 3 units left..

  1. Identify the model: Determine the expression, equation, function, geometric relationship, sequence, or data model represented by the problem.
  2. Apply the algebra: Replacing x with x + 3 shifts a graph 3 units to the left.
  3. Check the result: Substitute, graph, estimate, or compare the answer to confirm that it fits the Georgia Milestones Algebra EOC task.

Replacing x with x + 3 shifts a graph 3 units to the left.

9. QuestionMultiple choice

A quadratic function has points (0, 2) and (1, 5). What is the average rate of change over this interval?

Please select an answer first.

Correct answer: A

The correct answer is 3.

  1. Identify the model: Determine the expression, equation, function, geometric relationship, sequence, or data model represented by the problem.
  2. Apply the algebra: Average rate of change is (5 − 2) ÷ (1 − 0) = 3.
  3. Check the result: Substitute, graph, estimate, or compare the answer to confirm that it fits the Georgia Milestones Algebra EOC task.

Average rate of change is (5 − 2) ÷ (1 − 0) = 3.

10. QuestionMultiple choice

Which value completes the square: x² + 6x + ___ = (x + 3)²?

Please select an answer first.

Correct answer: B

The correct answer is 9.

  1. Identify the model: Determine the expression, equation, function, geometric relationship, sequence, or data model represented by the problem.
  2. Apply the algebra: Half of 6 is 3, and 3² = 9.
  3. Check the result: Substitute, graph, estimate, or compare the answer to confirm that it fits the Georgia Milestones Algebra EOC task.

Half of 6 is 3, and 3² = 9.

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Frequently asked questions about Georgia Milestones Algebra EOC Practice

What course naming is used on this page?

The page uses the broad Algebra EOC search term while noting the current Algebra: Concepts and Connections course naming in the guidance. Check the latest Georgia Department of Education assessment information for the course designation that applies to the learner.

How many questions are included?

There are five practice sets with 10 questions each, for 50 questions in total. Each set can be completed separately.

Are these official Georgia Milestones questions?

No. These are original supplemental practice questions and do not reproduce secure assessment content. Check the Georgia Department of Education for current standards, blueprints, accommodations, calculator policies, and testing procedures.