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Arizona ACT · Grade 11 · Math

Arizona ACT Math Practice Test: Grade 11

Build Grade 11 Arizona ACT Math readiness with five focused 10-question practice sets covering algebra, functions, geometry, statistics, probability, number, and mathematical modeling.

Arizona ACT Math Grade 11 practice sets

This Arizona ACT Math Practice Test: Grade 11 page provides five short practice sets with 10 original multiple-choice questions each. The sets support supplemental review across algebra, functions, geometry, measurement, statistics, probability, number and quantity, and modeling.

Skills covered

  • Linear equations, functions, slope, quadratics, expressions, inequalities, systems, and roots
  • Triangle area, circles, the Pythagorean theorem, volume, similarity, distance, midpoint, perimeter, angles, and sectors
  • Mean, median, range, probability, mutually exclusive events, percentages, scatterplots, outliers, and distributions
  • Exponents, radicals, ratios, scientific notation, percent change, rational numbers, reciprocals, and substitution
  • Linear and exponential models, rates, discounts, fixed and variable quantities, accuracy, predictions, and mean differences

How to use this page

Complete one 10-question set at a time. Write the equation before calculating, check units, and review the explanation for every missed or guessed answer.

This is supplemental State Test Practice, State Assessment Practice, and Standardized Test Practice. It does not replace current Arizona Department of Education or ACT guidance, official test materials, accommodations, or testing schedules.

For the broader Arizona assessment hub, visit Arizona State Assessments.

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

1. Test

Arizona ACT Math Grade 11 Practice Questions

A 10-question Arizona ACT Math Grade 11 practice set on algebra and functions, with answers and explanations.

Show your work when useful, choose one answer, and review the explanation after responding.

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

Solve 2x+3=112x+3=11.

Please select an answer first.

Correct answer: A

The correct answer is x=4x=4.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Subtract 3 to get 2x=82x=8, then divide by 2 to get x=4x=4.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Subtract 3 to get 2x=82x=8, then divide by 2 to get x=4x=4.

2. QuestionMultiple choice

If f(x)=x2−3xf(x)=x^2-3x, what is f(5)f(5)?

Please select an answer first.

Correct answer: B

The correct answer is 1010.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Substitute 5: 52−3(5)=25−15=105^2-3(5)=25-15=10.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Substitute 5: 52−3(5)=25−15=105^2-3(5)=25-15=10.

3. QuestionMultiple choice

A line has slope 33 and passes through (2,5)(2,5). Which equation represents the line?

Please select an answer first.

Correct answer: C

The correct answer is y=3x−1y=3x-1.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Using y−5=3(x−2)y-5=3(x-2) gives y=3x−1y=3x-1.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Using y−5=3(x−2)y-5=3(x-2) gives y=3x−1y=3x-1.

4. QuestionMultiple choice

What is the positive solution of x2=49x^2=49?

Please select an answer first.

Correct answer: D

The correct answer is 77.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: The solutions are 7 and -7, so the positive solution is 7.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

The solutions are 7 and -7, so the positive solution is 7.

5. QuestionMultiple choice

Which expression is equivalent to 3(x+4)−2x3(x+4)-2x?

Please select an answer first.

Correct answer: A

The correct answer is x+12x+12.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Distribute 3 to get 3x+123x+12, then subtract 2x2x to obtain x+12x+12.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Distribute 3 to get 3x+123x+12, then subtract 2x2x to obtain x+12x+12.

6. QuestionMultiple choice

If g(x)=2x+1g(x)=2x+1, what is g(−3)g(-3)?

Please select an answer first.

Correct answer: B

The correct answer is −5-5.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Substitute -3: 2(−3)+1=−6+1=−52(-3)+1=-6+1=-5.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Substitute -3: 2(−3)+1=−6+1=−52(-3)+1=-6+1=-5.

7. QuestionMultiple choice

The equation y=4x+9y=4x+9 is written in which form?

Please select an answer first.

Correct answer: C

The correct answer is Slope-intercept form.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: The form y=mx+by=mx+b is slope-intercept form.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

The form y=mx+by=mx+b is slope-intercept form.

8. QuestionMultiple choice

What is the solution to 5x−7>185x-7>18?

Please select an answer first.

Correct answer: D

The correct answer is x>5x>5.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Add 7 to get 5x>255x>25, then divide by 5 to obtain x>5x>5.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Add 7 to get 5x>255x>25, then divide by 5 to obtain x>5x>5.

9. QuestionMultiple choice

If x+y=12x+y=12 and x−y=4x-y=4, what is xx?

Please select an answer first.

Correct answer: A

The correct answer is 88.

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Adding the equations gives 2x=162x=16, so x=8x=8.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Adding the equations gives 2x=162x=16, so x=8x=8.

10. QuestionMultiple choice

A quadratic has roots 2 and 5. Which equation could represent it?

Please select an answer first.

Correct answer: B

The correct answer is y=(x−2)(x−5)y=(x-2)(x-5).

  1. Identify the mathematical relationship: Determine which equation, expression, diagram, table, or probability rule represents the problem.
  2. Compute or simplify: Factors that produce roots 2 and 5 are x−2x-2 and x−5x-5.
  3. Check the result: Confirm that the answer is reasonable and matches the units or conditions in the question.

Factors that produce roots 2 and 5 are x−2x-2 and x−5x-5.

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Frequently asked questions about Arizona ACT Math Practice Test: Grade 11

Which Math skills are covered?

The page covers algebra, functions, geometry, measurement, statistics, probability, number and quantity, rates, percentages, and mathematical modeling.

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 ACT questions?

No. These are original supplemental practice questions. Check the latest Arizona Department of Education and ACT information for official materials, standards, accommodations, and policies.