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Hawaii State Assessments · Grade 11 · Smarter Balanced Math

Hawaii Grade 11 Smarter Balanced Math Practice Test

Build Grade 11 Hawaii Smarter Balanced Math readiness with five focused 10-question practice sets for algebra, functions, geometry, statistics, probability, modeling, and data.

Hawaii Grade 11 Smarter Balanced Math practice sets

This Hawaii Grade 11 Smarter Balanced Math Practice Test page provides five short practice sets with 10 original multiple-choice questions each. The sets cover algebra, functions, geometry, trigonometry, statistics, probability, modeling, data, and mathematical reasoning.

Grade 11 Math skills covered

  • Solving equations and inequalities, systems, quadratics, exponentials, absolute value, and algebraic expressions
  • Working with linear and nonlinear functions, slope, transformations, domain, range, rate of change, and residuals
  • Using coordinate geometry, similarity, circles, area, volume, right triangles, trigonometry, rotations, and optimization
  • Analyzing mean, median, mode, quartiles, outliers, standard deviation, scatter plots, sampling, correlation, probability, and expected value
  • Building and evaluating models, interpreting tables and graphs, checking units, explaining assumptions, and communicating mathematical reasoning

How to use this page

Complete one 10-question set at a time. Write an equation or model, label units, estimate the result, and review each explanation after answering.

This is supplemental State Test Practice, State Assessment Practice, and Standardized Test Practice for Hawaii Grade 11 Smarter Balanced Mathematics preparation. Assessment dates, item formats, accommodations, and testing procedures can change, so check current Hawaii Department of Education guidance before test day.

Hawaii Smarter Balanced mathematics assessments include Grade 11. Review the official Hawaii Department of Education testing information for current scope and procedures.

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

1. Test

Hawaii Grade 11 Smarter Balanced Math Practice Questions

A 10-question Hawaii Grade 11 Smarter Balanced Math practice set on algebra and functions, with answers and explanations.

Read each mathematical situation carefully, identify the model or relationship, show the reasoning, choose the best answer, and review the explanation.

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

Solve 3x + 5 = 20.

Please select an answer first.

Correct answer: A

The correct answer is 5.

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: Subtract 5 from both sides to get 3x = 15, then divide by 3 to get x = 5.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

Subtract 5 from both sides to get 3x = 15, then divide by 3 to get x = 5.

2. QuestionMultiple choice

What is the slope of the line through (2, 3) and (6, 11)?

Please select an answer first.

Correct answer: B

The correct answer is 2.

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: The slope is (11 − 3) ÷ (6 − 2) = 8 ÷ 4 = 2.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

The slope is (11 − 3) ÷ (6 − 2) = 8 ÷ 4 = 2.

3. QuestionMultiple choice

For f(x) = 2x − 4, what is f(7)?

Please select an answer first.

Correct answer: C

The correct answer is 10.

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: Substitute 7 for x: f(7) = 2(7) − 4 = 10.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

Substitute 7 for x: f(7) = 2(7) − 4 = 10.

4. QuestionMultiple choice

A linear function starts at 12 and increases by 3 for every unit of x. Which equation represents it?

Please select an answer first.

Correct answer: D

The correct answer is y = 3x + 12.

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: The rate of change is 3 and the initial value is 12, so y = 3x + 12.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

The rate of change is 3 and the initial value is 12, so y = 3x + 12.

5. QuestionMultiple choice

Solve the system x + y = 10 and x − y = 2.

Please select an answer first.

Correct answer: A

The correct answer is x = 6, y = 4.

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: Adding the equations gives 2x = 12, so x = 6; substituting gives y = 4.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

Adding the equations gives 2x = 12, so x = 6; substituting gives y = 4.

6. QuestionMultiple choice

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

Please select an answer first.

Correct answer: B

The correct answer is (x − 2)(x − 3).

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: The factors −2 and −3 multiply to 6 and add to −5.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

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

7. QuestionMultiple choice

What is the vertex of y = (x − 4)² − 9?

Please select an answer first.

Correct answer: C

The correct answer is (4, −9).

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: Vertex form y = (x − h)² + k gives the vertex (h, k) = (4, −9).
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

Vertex form y = (x − h)² + k gives the vertex (h, k) = (4, −9).

8. QuestionMultiple choice

The expression 500(1.2)^t models a quantity over time. What does 1.2 indicate?

Please select an answer first.

Correct answer: D

The correct answer is A 20 percent growth factor per time period.

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: Multiplying by 1.2 means the quantity is 120 percent of the previous value, a 20 percent increase.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

Multiplying by 1.2 means the quantity is 120 percent of the previous value, a 20 percent increase.

9. QuestionMultiple choice

Solve 2^x = 32.

Please select an answer first.

Correct answer: A

The correct answer is 5.

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: Since 2 × 2 × 2 × 2 × 2 = 32, x = 5.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

Since 2 × 2 × 2 × 2 × 2 = 32, x = 5.

10. QuestionMultiple choice

Solve |x − 3| = 5.

Please select an answer first.

Correct answer: B

The correct answer is x = 8 or x = -2.

  1. Identify the Grade 11 math skill: Determine whether the task uses algebra, functions, geometry, statistics, probability, modeling, or data analysis.
  2. Show the mathematical reasoning: The expression x − 3 can equal 5 or −5, giving x = 8 or x = −2.
  3. Check the result: Confirm that the answer is reasonable, uses the correct units, and matches the Hawaii Grade 11 Smarter Balanced Mathematics task.

The expression x − 3 can equal 5 or −5, giving x = 8 or x = −2.

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Frequently asked questions about Hawaii Grade 11 Smarter Balanced Math Practice

Which Grade 11 Math skills are covered?

The page covers algebra, functions, quadratics, exponentials, geometry, trigonometry, statistics, probability, modeling, data, and mathematical reasoning.

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 Hawaii Smarter Balanced questions?

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