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Key Facts: RISE Secondary Math II Exam

USBE RISE

Assessment Program

Utah State Board of Education 2026-2027 Resource Guide

4 Levels

Proficiency Reporting

USBE RISE Performance Level Descriptors

Untimed

Testing Duration

USBE Assessment Administration Guidelines

Not published

Operational item count (computer adaptive)

USBE does not publish an item count for the RISE Secondary Mathematics II test

MII.*

Utah Core Standards

Utah Secondary Mathematics II Core Standards

Utah RISE high school assessments (including Secondary Mathematics II) are current, real, course-based summative tests administered under the USBE RISE program (2026-2027 Assessment Director Resource Guide). The exam follows Utah Secondary Mathematics II core standards (standard codes MII.*) and uses an untimed computer-adaptive format. Performance is reported across 4 proficiency levels: Level 1 Below Proficient, Level 2 Approaching Proficient, Level 3 Proficient, and Level 4 Highly Proficient. Note: This practice bank provides multiple-choice adaptations to support standards knowledge and mathematical modeling, but does not replace multi-step equation entry or constructed mathematical reasoning on the state platform.

Sample RISE Secondary Math II Practice Questions

Try these sample questions to review concepts for the RISE Secondary Math II exam. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1What are the coordinates of the vertex for the quadratic function y = (x - 3)^2 + 4?
A.(-3, 4)
B.(3, 4)
C.(3, -4)
D.(-3, -4)
Explanation: In vertex form y = a(x - h)^2 + k, the vertex is located at the coordinate point (h, k). For the given equation y = (x - 3)^2 + 4, h = 3 and k = 4, so the vertex is (3, 4).
2Which of the following is the complete factored form of x^2 - 9x + 20?
A.(x - 4)(x - 5)
B.(x + 4)(x + 5)
C.(x - 2)(x - 10)
D.(x + 2)(x - 10)
Explanation: To factor x^2 - 9x + 20, find two integers that multiply to +20 and add to -9. The integers -4 and -5 satisfy both conditions because (-4)(-5) = 20 and (-4) + (-5) = -9. Thus, x^2 - 9x + 20 = (x - 4)(x - 5).
3What is the simplified form of sqrt(-36) in terms of the imaginary unit i?
A.-6
B.6
C.6i
D.-6i
Explanation: By definition, i = sqrt(-1). Rewriting sqrt(-36) gives sqrt(36) * sqrt(-1) = 6 * i = 6i.
4What is the equation of the axis of symmetry for the parabola f(x) = 2(x + 5)^2 - 7?
A.x = -5
B.x = 5
C.x = -7
D.x = 2
Explanation: In vertex form f(x) = a(x - h)^2 + k, the axis of symmetry is the vertical line passing through the vertex, given by x = h. Here h = -5, so the axis of symmetry is x = -5.
5Simplify the complex number expression: (4 + 3i) + (2 - 5i).
A.6 - 2i
B.6 + 8i
C.2 - 2i
D.6 - 8i
Explanation: To add complex numbers, add their real parts and imaginary parts separately: (4 + 2) + (3i - 5i) = 6 - 2i.
6What is the value of the discriminant for the quadratic equation x^2 - 6x + 9 = 0?
A.-72
B.0
C.36
D.72
Explanation: The discriminant is given by D = b^2 - 4ac. For a = 1, b = -6, c = 9, D = (-6)^2 - 4(1)(9) = 36 - 36 = 0.
7What is the simplified value of i^14?
A.1
B.-1
C.i
D.-i
Explanation: Powers of i repeat every 4 terms: i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1. Dividing 14 by 4 gives a quotient of 3 with a remainder of 2. Thus, i^14 = i^2 = -1.
8What are all solutions to the quadratic equation x^2 - 16 = 0?
A.x = 4 only
B.x = -4 only
C.x = 4 and x = -4
D.x = 8 and x = -8
Explanation: Isolating x^2 gives x^2 = 16. Taking the square root of both sides yields x = ±sqrt(16) = ±4.
9What is the y-intercept of the quadratic function y = 3x^2 - 4x + 7?
A.(0, 3)
B.(0, -4)
C.(0, 7)
D.(7, 0)
Explanation: The y-intercept occurs where x = 0. Evaluating y = 3(0)^2 - 4(0) + 7 yields y = 7, giving the point (0, 7).
10Convert the quadratic function y = x^2 - 8x + 11 into vertex form by completing the square.
A.y = (x - 4)^2 - 5
B.y = (x - 4)^2 + 27
C.y = (x - 8)^2 - 53
D.y = (x - 4)^2 + 11
Explanation: Half of the x-coefficient is -8/2 = -4, and squaring it gives 16. Rewrite y = (x^2 - 8x + 16) + 11 - 16 = (x - 4)^2 - 5.

About the RISE Secondary Math II Exam

Master Utah RISE Secondary Mathematics II with 100 practice questions. Utah RISE high school assessments (including Secondary Mathematics II) are current, real, course-based summative tests under USBE RISE (2026-2027 Assessment Director Resource Guide). Practice covers quadratic functions and complex numbers, polynomial operations and rational exponents, geometry, similarity, right triangle trigonometry, circles, and conditional probability rules.

Exam sponsor: Utah State Board of Education. The requirements and fees below concern the certification or admission exam, separate from our free practice resources.

Assessment

Computer-adaptive selected-response, equation-entry, and technology-enhanced tasks.

Time Limit

Untimed

Passing Score

Level 3 (Proficient)

Exam / Certification Fees

$0 (Free for Utah public school students)

Exam sponsor website

Fees, eligibility, and exam policies can change. Confirm them with the exam sponsor before applying or paying.

Our practice resources: topics covered

We aim to reflect publicly available exam outlines and topic information in our study resources. Coverage, format, and difficulty may differ from the actual exam, and we cannot guarantee that every detail is accurate or current. Confirm exam requirements, fees, and policies with the official exam sponsor.

30% of this practice bank

Quadratic Functions & Complex Numbers

Graphing quadratic functions, vertex form y = a(x - h)^2 + k, factoring quadratic expressions, completing the square, quadratic formula, complex number unit i = sqrt(-1), and operations on complex numbers a + bi.

20% of this practice bank

Polynomials & Expression Operations

Polynomial addition, subtraction, and multiplication, rational exponent properties (a^(m/n) = n-th root of a^m), radical simplification, and solving radical equations with extraneous solution checks.

35% of this practice bank

Geometry, Similarity, Trigonometry & Circles

Dilation transformations, AA/SAS/SSS similarity criteria, right triangle trigonometry (sin, cos, tan), Pythagorean theorem applications, standard circle equations (x - h)^2 + (y - k)^2 = r^2, tangent lines, arc length (s = r*theta), and sector area (A = 0.5*r^2*theta).

15% of this practice bank

Conditional Probability & Rules of Probability

Sample spaces, complement rules, independent vs dependent events, conditional probability P(A|B) = P(A and B)/P(B), two-way frequency tables, addition rule P(A or B) = P(A) + P(B) - P(A and B), and permutations/combinations.

Preparing for the RISE Secondary Math II Exam

What You Need to Know

  • Passing score: Level 3 (Proficient)
  • Assessment: Computer-adaptive selected-response, equation-entry, and technology-enhanced tasks.
  • Time limit: Untimed
  • Exam / certification fees: $0 (Free for Utah public school students) Official sources

Using Our Practice Resources

  • Work through all 100 available questions
  • Review every answer and explanation
  • Track weak areas and revisit them
  • Use our AI tutor for tough concepts

RISE Secondary Math II: Suggested Study Strategy

1Master quadratic solving methods: practice factoring, completing the square, and using the quadratic formula (x = (-b ± sqrt(b^2 - 4ac)) / (2a)) depending on equation structure.
2Understand complex numbers: remember i^2 = -1 and practice expressing rationalized complex quotients in standard a + bi form.
3Apply right triangle trigonometry and special right triangle ratios (30-60-90 and 45-45-90) alongside Pythagorean theorem applications.
4Convert general quadratic circle equations to standard form (x - h)^2 + (y - k)^2 = r^2 by completing the square for both x and y.
5Calculate conditional probabilities P(A|B) using two-way frequency tables and distinguish between permutations (_nP_r) and combinations (_nC_r).

Frequently Asked Questions

Is Secondary Mathematics II part of the official Utah RISE assessment program?

Yes. High school course-based assessments in Utah, including Secondary Mathematics II, are active summative tests administered under the Utah State Board of Education (USBE) RISE framework according to the 2026-2027 Assessment Director Resource Guide.

How are scores reported on the RISE Secondary Mathematics II test?

Student achievement is categorized into 4 performance levels: Level 1 Below Proficient, Level 2 Approaching Proficient, Level 3 Proficient, and Level 4 Highly Proficient. Reaching Level 3 or Level 4 demonstrates grade-level mastery of the Utah Core Standards.

Is the RISE Secondary Mathematics II assessment timed?

No. The official RISE Secondary Mathematics II assessment is untimed to allow students adequate time to demonstrate their mathematical reasoning. Most students complete the computer-adaptive test in 60 to 90 minutes.

How does this practice bank adapt the official RISE exam format?

This practice bank presents high-quality multiple-choice questions (MCQs) designed for self-paced review. While local MCQs support core standards knowledge, computational fluency, and modeling, they supplement rather than replace the multi-step equation entry and technology-enhanced items used on the official computer-adaptive test.