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.

3. Test

Grade 11 Math Practice Test Questions

Practice Grade 11 Math questions about polynomial operations, zeros, factoring, rational expressions, and asymptotes.

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

What is the degree of 4x^5 - 2x^3 + 7?

Please select an answer first.

Correct answer: A

The correct answer is 5.

  1. Identify the relationship: The degree is the greatest exponent of the variable, which is 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 degree is the greatest exponent of the variable, which is 5.

2. QuestionMultiple choice

What is the factored form of x^2 - 9?

Please select an answer first.

Correct answer: B

The correct answer is (x - 3)(x + 3).

  1. Identify the relationship: This is a difference of squares: x^2 - 3^2 = (x - 3)(x + 3).
  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.

This is a difference of squares: x^2 - 3^2 = (x - 3)(x + 3).

3. QuestionMultiple choice

What are the zeros of (x - 4)(x + 2)?

Please select an answer first.

Correct answer: C

The correct answer is 4 and -2.

  1. Identify the relationship: Set each factor equal to zero: x - 4 = 0 gives 4, and x + 2 = 0 gives -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.

Set each factor equal to zero: x - 4 = 0 gives 4, and x + 2 = 0 gives -2.

4. QuestionMultiple choice

What is the leading coefficient of -6x^4 + x - 1?

Please select an answer first.

Correct answer: D

The correct answer is -6.

  1. Identify the relationship: The leading coefficient is the coefficient of the highest-degree term, -6x^4.
  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 leading coefficient is the coefficient of the highest-degree term, -6x^4.

5. QuestionMultiple choice

Which statement is true about a polynomial graph with an even degree and positive leading coefficient?

Please select an answer first.

Correct answer: A

The correct answer is Both ends rise..

  1. Identify the relationship: An even-degree polynomial with a positive leading coefficient rises as x approaches both positive and negative infinity.
  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.

An even-degree polynomial with a positive leading coefficient rises as x approaches both positive and negative infinity.

6. QuestionMultiple choice

What is the remainder when x^2 + 3x + 5 is divided by x - 1?

Please select an answer first.

Correct answer: B

The correct answer is 9.

  1. Identify the relationship: By the Remainder Theorem, evaluate the polynomial at x = 1: 1 + 3 + 5 = 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.

By the Remainder Theorem, evaluate the polynomial at x = 1: 1 + 3 + 5 = 9.

7. QuestionMultiple choice

What is the excluded value in (x + 1)/(x - 5)?

Please select an answer first.

Correct answer: C

The correct answer is x = 5.

  1. Identify the relationship: The denominator cannot equal zero, so x - 5 = 0 gives x = 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 denominator cannot equal zero, so x - 5 = 0 gives x = 5.

8. QuestionMultiple choice

What is the horizontal asymptote of y = (3x + 1)/(x + 2)?

Please select an answer first.

Correct answer: D

The correct answer is y = 3.

  1. Identify the relationship: The numerator and denominator have the same degree, so the horizontal asymptote is the ratio of leading coefficients, 3.
  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 numerator and denominator have the same degree, so the horizontal asymptote is the ratio of leading coefficients, 3.

9. QuestionMultiple choice

What does a repeated even-multiplicity zero usually do on a polynomial graph?

Please select an answer first.

Correct answer: A

The correct answer is The graph touches the x-axis and turns..

  1. Identify the relationship: At an even multiplicity, the sign usually stays the same, so the graph touches and turns at the zero.
  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.

At an even multiplicity, the sign usually stays the same, so the graph touches and turns at the zero.

10. QuestionMultiple choice

Which operation is required before adding rational expressions with unlike denominators?

Please select an answer first.

Correct answer: B

The correct answer is Find a common denominator..

  1. Identify the relationship: A common denominator allows the rational expressions to be combined without changing their values.
  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.

A common denominator allows the rational expressions to be combined without changing their values.