U.S. High School Math · Grade 11 Practice

Grade 11 Math Practice Test

Build Grade 11 Math confidence with focused practice for functions, algebraic models, sequences, statistics, and probability.

Grade 11 Math Practice Tests

These Grade 11 Math practice tests connect algebraic reasoning, functions, modeling, sequences, and data analysis. Each set has 10 original multiple-choice questions with answer explanations.

Skills covered

  • Functions, domain, range, transformations, inverses, and models
  • Polynomial, rational, exponential, and logarithmic reasoning
  • Arithmetic and geometric sequences, series, and recursive rules
  • Sampling, probability, regression, residuals, and statistical conclusions

How to use these practice tests

Complete one set at a time, write the relationship or formula before calculating, and read the explanation after each answer. Use the results to choose a focused review topic.

These are supplemental Grade 11 Math practice materials and do not replace local course requirements or state assessment guidance.

Choose your next study path

Frequently asked questions about Grade 11 Math Practice

What topics are included?

The five sets cover functions and models, polynomial and rational functions, exponential and logarithmic models, sequences and series, and statistics and probability.

How many questions are included?

There are five practice sets with 10 questions each, for 50 Grade 11 Math questions in total.

Are these official exam questions?

No. They are original supplemental practice questions designed to reinforce common Grade 11 Math reasoning skills.

2. Test

Grade 11 Math Practice Test Questions

Practice Grade 11 Math questions about functions, domain, range, transformations, inverses, and mathematical models.

Choose the best answer. Show the important algebraic, graphical, numerical, or statistical reasoning before checking the explanation.

10 Questions
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1. QuestionMultiple choice

If f(x) = 3x - 5, what is f(4)?

Please select an answer first.

Correct answer: A

The correct answer is 7.

  1. Identify the relationship: Substitute 4 for x: 3(4) - 5 = 12 - 5 = 7.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

Substitute 4 for x: 3(4) - 5 = 12 - 5 = 7.

2. QuestionMultiple choice

Which relation is a function?

Please select an answer first.

Correct answer: B

The correct answer is {(1, 4), (2, 4), (3, 5)}.

  1. Identify the relationship: Each input appears only once in the first relation, so it assigns exactly one output to every input.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

Each input appears only once in the first relation, so it assigns exactly one output to every input.

3. QuestionMultiple choice

What is the domain of g(x) = sqrt(x - 2)?

Please select an answer first.

Correct answer: C

The correct answer is x >= 2.

  1. Identify the relationship: The radicand must be nonnegative, so x - 2 >= 0 and x >= 2.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

The radicand must be nonnegative, so x - 2 >= 0 and x >= 2.

4. QuestionMultiple choice

If h(x) = f(x - 3), how is the graph of f changed?

Please select an answer first.

Correct answer: D

The correct answer is It shifts 3 units right..

  1. Identify the relationship: Replacing x with x - 3 moves every point of the graph three units to the right.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

Replacing x with x - 3 moves every point of the graph three units to the right.

5. QuestionMultiple choice

What is the inverse of f(x) = 2x + 6?

Please select an answer first.

Correct answer: A

The correct answer is f^-1(x) = (x - 6) / 2.

  1. Identify the relationship: Swap x and y in y = 2x + 6 and solve: x = 2y + 6, so y = (x - 6) / 2.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

Swap x and y in y = 2x + 6 and solve: x = 2y + 6, so y = (x - 6) / 2.

6. QuestionMultiple choice

A linear model has slope 4 and y-intercept 12. What is its equation?

Please select an answer first.

Correct answer: B

The correct answer is y = 4x + 12.

  1. Identify the relationship: Slope-intercept form is y = mx + b, so m = 4 and b = 12.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

Slope-intercept form is y = mx + b, so m = 4 and b = 12.

7. QuestionMultiple choice

If f(x) = x^2 and g(x) = x + 1, what is (f composed with g)(2)?

Please select an answer first.

Correct answer: C

The correct answer is 9.

  1. Identify the relationship: First g(2) = 3, then f(3) = 3^2 = 9.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

First g(2) = 3, then f(3) = 3^2 = 9.

8. QuestionMultiple choice

Which feature of a graph identifies the set of possible outputs?

Please select an answer first.

Correct answer: D

The correct answer is The range.

  1. Identify the relationship: The range is the set of y-values or outputs produced by the relation.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

The range is the set of y-values or outputs produced by the relation.

9. QuestionMultiple choice

What is the vertex of y = (x - 2)^2 + 5?

Please select an answer first.

Correct answer: A

The correct answer is (2, 5).

  1. Identify the relationship: The vertex form y = (x - h)^2 + k has vertex (h, k), so the vertex is (2, 5).
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

The vertex form y = (x - h)^2 + k has vertex (h, k), so the vertex is (2, 5).

10. QuestionMultiple choice

A quantity grows by the same percentage each period. Which model is most appropriate?

Please select an answer first.

Correct answer: B

The correct answer is An exponential model.

  1. Identify the relationship: Repeated multiplication by a constant percentage is represented by exponential growth.
  2. Apply the rule or model: Use the definition, formula, representation, or evidence named in the question.
  3. Check the result: Confirm that the answer matches the units, domain, and meaning of the problem.

Repeated multiplication by a constant percentage is represented by exponential growth.