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Arizona ACT Aspire · Grade 9 · Math

Arizona ACT Aspire Math Practice Test: Grade 9

Build Grade 9 Arizona ACT Aspire Math readiness with five focused 10-question practice sets covering algebra, functions, coordinate geometry, measurement, probability, statistics, ratios, and problem solving.

Arizona ACT Aspire Math Grade 9 practice sets

This Arizona ACT Aspire Math Practice Test: Grade 9 page provides five short practice sets with 10 original multiple-choice questions each. The sets support supplemental review across algebra, functions, geometry, measurement, probability, statistics, ratios, percent, and multi-step modeling.

Skills covered

  • Expressions, equations, inequalities, factors, exponents, simplification, and translating situations into equations
  • Function notation, slope, intercepts, rate of change, direct variation, relations, domain, and linear models
  • Pythagorean theorem, circles, triangles, prisms, angles, dilations, coordinate distance, perimeter, area, and surface area
  • Ratios, mean, median, range, probability, samples, percent, independent events, scatter plots, and interquartile range
  • Integrated Grade 9 problem solving with rates, savings, scales, discounts, sequences, perimeter equations, percentages, and solution checks

How to use this page

Complete one 10-question set at a time. Show calculations with units, review each explanation, and return to the equation or diagram whenever an answer is uncertain.

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

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

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1. Test2. Test3. Test4. Test5. Test

2. Test

Arizona ACT Aspire Math Grade 9 Practice Questions

A 10-question Arizona ACT Aspire Math Grade 9 practice set on functions and coordinate relationships, 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

If (f(x) = 3x - 2), what is (f(5))?

Please select an answer first.

Correct answer: A

The correct answer is 1313.

  1. Identify the quantities: Write down the known values, variables, units, and relationship in the problem.
  2. Apply the strategy: Substitute 5: 3(5) - 2 = 13.
  3. Check the result: Substitute the answer or review the units to make sure the result is reasonable.

Substitute 5: 3(5) - 2 = 13.

2. QuestionMultiple choice

What is the slope of the line through ((1, 4)) and ((5, 12))?

Please select an answer first.

Correct answer: B

The correct answer is 22.

  1. Identify the quantities: Write down the known values, variables, units, and relationship in the problem.
  2. Apply the strategy: The slope is (12 - 4) / (5 - 1) = 8 / 4 = 2.
  3. Check the result: Substitute the answer or review the units to make sure the result is reasonable.

The slope is (12 - 4) / (5 - 1) = 8 / 4 = 2.

3. QuestionMultiple choice

Which equation has a y-intercept of -3 and slope 2?

Please select an answer first.

Correct answer: C

The correct answer is y=2x−3y = 2x - 3.

  1. Identify the quantities: Write down the known values, variables, units, and relationship in the problem.
  2. Apply the strategy: Use y = mx + b with m = 2 and b = -3.
  3. Check the result: Substitute the answer or review the units to make sure the result is reasonable.

Use y = mx + b with m = 2 and b = -3.

4. QuestionMultiple choice

What is the rate of change in a table where x increases by 2 and y increases by 10?

Please select an answer first.

Correct answer: D

The correct answer is 55.

  1. Identify the quantities: Write down the known values, variables, units, and relationship in the problem.
  2. Apply the strategy: Rate of change is change in y divided by change in x: 10 / 2 = 5.
  3. Check the result: Substitute the answer or review the units to make sure the result is reasonable.

Rate of change is change in y divided by change in x: 10 / 2 = 5.

5. QuestionMultiple choice

Which relation is a function?

Please select an answer first.

Correct answer: A

The correct answer is {(1, 4), (2, 5), (3, 6)}.

  1. Identify the quantities: Write down the known values, variables, units, and relationship in the problem.
  2. Apply the strategy: Each input in the first relation has exactly one output.
  3. Check the result: Substitute the answer or review the units to make sure the result is reasonable.

Each input in the first relation has exactly one output.

6. QuestionMultiple choice

What is the x-intercept of (y = x - 6)?

Please select an answer first.

Correct answer: B

The correct answer is 66.

  1. Identify the quantities: Write down the known values, variables, units, and relationship in the problem.
  2. Apply the strategy: Set y to 0: 0 = x - 6, so x = 6.
  3. Check the result: Substitute the answer or review the units to make sure the result is reasonable.

Set y to 0: 0 = x - 6, so x = 6.

7. QuestionMultiple choice

A line passes through ((0, 5)) and ((2, 9)). Which equation represents it?

Please select an answer first.

Correct answer: C

The correct answer is y=2x+5y = 2x + 5.

  1. Identify the quantities: Write down the known values, variables, units, and relationship in the problem.
  2. Apply the strategy: The slope is 2 and the y-intercept is 5.
  3. Check the result: Substitute the answer or review the units to make sure the result is reasonable.

The slope is 2 and the y-intercept is 5.

8. QuestionMultiple choice

If y varies directly with x and y = 18 when x = 6, what is y when x = 10?

Please select an answer first.

Correct answer: D

The correct answer is 3030.

  1. Identify the quantities: Write down the known values, variables, units, and relationship in the problem.
  2. Apply the strategy: The constant of proportionality is 18 / 6 = 3, so y = 3(10) = 30.
  3. Check the result: Substitute the answer or review the units to make sure the result is reasonable.

The constant of proportionality is 18 / 6 = 3, so y = 3(10) = 30.

9. QuestionMultiple choice

Which point lies on the line (y = -x + 4)?

Please select an answer first.

Correct answer: A

The correct answer is (2,2)(2, 2).

  1. Identify the quantities: Write down the known values, variables, units, and relationship in the problem.
  2. Apply the strategy: For x = 2, y = -2 + 4 = 2.
  3. Check the result: Substitute the answer or review the units to make sure the result is reasonable.

For x = 2, y = -2 + 4 = 2.

10. QuestionMultiple choice

What is the domain of a function represented by the table with inputs -1, 2, 5, and 8?

Please select an answer first.

Correct answer: B

The correct answer is {-1, 2, 5, 8}.

  1. Identify the quantities: Write down the known values, variables, units, and relationship in the problem.
  2. Apply the strategy: The domain is the set of input values.
  3. Check the result: Substitute the answer or review the units to make sure the result is reasonable.

The domain is the set of input values.

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Frequently asked questions about Arizona ACT Aspire Math Practice Test: Grade 9

Which Math skills are covered?

The page covers algebra, equations, inequalities, functions, slope, geometry, measurement, ratios, probability, statistics, percent, and multi-step problem solving.

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 Aspire 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.