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100+ Free RISE Secondary Mathematics I Practice Questions

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Key Facts: RISE Secondary Mathematics I Exam

Untimed CAT format

Computer-adaptive statewide summative test administration

USBE RISE Assessment Guidelines 2026–2027

4 Proficiency Levels

Level 1 Below, Level 2 Approaching, Level 3 Proficient, Level 4 Highly Proficient

Utah State Board of Education

30% Algebra & 30% Functions

Combined 60% core focus on linear/exponential equations and functions

Utah Secondary Mathematics I Core Standards (MI.*)

25% Geometry & Proofs

Focus on rigid transformations, triangle congruence, and coordinate geometry

USBE Mathematics Blueprint

15% Statistics & Data

Focus on quantitative data summary, scatter plots, and linear regression

USBE Secondary Math I Assessment Specification

RISE Secondary Mathematics I is a course-based summative test under the USBE RISE program (2026-2027 Assessment Director Resource Guide). It is computer adaptive, untimed, and free; there is no pass mark, and results report a scale score plus one of four proficiency levels: Level 1 (Below Proficient), Level 2 (Approaching Proficient), Level 3 (Proficient), and Level 4 (Highly Proficient). It is the only high school RISE test with a midyear summative window as well as the spring window. This practice bank distributes its own 100 items across Algebra and Expressions/Equations (30%), Linear and Exponential Functions/Modeling (30%), Geometry, Transformations and Coordinate Proofs (25%), and Statistics and Data Analysis (15%); USBE does not publish official reporting-category weights for this test. Multiple-choice practice supports standards knowledge and problem solving, but the operational test also uses equation entry and technology-enhanced response formats.

Sample RISE Secondary Mathematics I Practice Questions

Try these sample questions to test your RISE Secondary Mathematics I exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Solve for x in the linear equation: 5x - 7 = 18.
A.x = 3
B.x = 5
C.x = 7
D.x = 25
Explanation: Add 7 to both sides of the equation: 5x = 25. Divide both sides by 5: x = 5.
2Solve for x: 3(x + 4) = 27.
A.x = 5
B.x = 7
C.x = 9
D.x = 11
Explanation: Divide both sides by 3 to get x + 4 = 9. Subtract 4 from both sides to get x = 5. Alternatively, distribute: 3x + 12 = 27 -> 3x = 15 -> x = 5.
3Solve for x: 4x + 9 = 2x + 17.
A.x = 2
B.x = 4
C.x = 8
D.x = 13
Explanation: Subtract 2x from both sides: 2x + 9 = 17. Subtract 9 from both sides: 2x = 8. Divide by 2: x = 4.
4Solve the linear inequality: 2x - 5 > 7.
A.x > 1
B.x > 6
C.x < 6
D.x > 12
Explanation: Add 5 to both sides: 2x > 12. Divide both sides by 2: x > 6.
5Solve the linear inequality: 7 - 3x ≤ 1.
A.x ≤ 2
B.x ≥ 2
C.x ≤ -2
D.x ≥ -2
Explanation: Subtract 7 from both sides: -3x ≤ -6. Divide both sides by -3 and reverse the inequality sign: x ≥ 2.
6Rearrange the literal equation y = mx + b to solve for x.
A.x = (y - b) / m
B.x = y - mb
C.x = (y + b) / m
D.x = m(y - b)
Explanation: Subtract b from both sides: y - b = mx. Divide both sides by m: x = (y - b) / m.
7Evaluate the algebraic expression 3a² - 2b when a = 4 and b = 5.
A.22
B.38
C.42
D.134
Explanation: Substitute a = 4 and b = 5: 3(4)² - 2(5) = 3(16) - 10 = 48 - 10 = 38.
8Solve the system of linear equations: y = 2x and x + y = 12.
A.(2, 4)
B.(3, 6)
C.(4, 8)
D.(6, 6)
Explanation: Substitute y = 2x into the second equation: x + 2x = 12 -> 3x = 12 -> x = 4. Then y = 2(4) = 8. The solution is (4, 8).
9Simplify the sum of polynomials: (4x² - 3x + 5) + (2x² + 7x - 1).
A.6x² + 4x + 4
B.6x² + 10x + 4
C.8x² + 4x + 6
D.6x⁴ + 4x² + 4
Explanation: Combine like terms: (4x² + 2x²) + (-3x + 7x) + (5 - 1) = 6x² + 4x + 4.
10Solve for x: 2(3x - 4) - 5(x + 1) = 3.
A.x = 6
B.x = 10
C.x = 16
D.x = 21
Explanation: Distribute both terms: 6x - 8 - 5x - 5 = 3. Combine like terms: x - 13 = 3. Add 13 to both sides: x = 16.

About the RISE Secondary Mathematics I Exam

The Utah RISE Secondary Mathematics I assessment is a statewide summative course assessment administered under the Utah State Board of Education (USBE). Aligned to the Utah Secondary Mathematics I Core Standards (standard codes MI.*), the test evaluates student proficiency across linear equations and inequalities, linear and exponential functions, rigid geometric transformations and coordinate proofs, and bivariate quantitative statistics. Disclosure: Practice questions on this portal use multiple-choice adaptations to support standards knowledge, procedural fluency, and mathematical modeling; however, local MCQs do not replace the multi-step equation-entry or constructed technology-enhanced tasks present on the operational RISE test.

Assessment

Computer-adaptive selected-response, equation-entry, and technology-enhanced tasks delivered online through the RISE portal.

Time Limit

Untimed

Passing Score

No pass/fail cut score; results report a scale score plus one of four proficiency levels (Level 3 = Proficient)

Exam Fee

$0 (state-funded; free for Utah public school students) (Utah State Board of Education (USBE))

RISE Secondary Mathematics I Exam Content Outline

30% of this practice bank

Algebra & Expressions / Equations

Solving linear equations in one variable, multi-step linear inequalities (including compound inequalities), systems of linear equations using substitution, elimination, and graphing methods, literal equations and formula rearrangement, and constructing linear models from real-world scenarios.

30% of this practice bank

Linear & Exponential Functions / Modeling

Distinguishing between constant additive change (linear) and constant multiplicative rate (exponential), function notation f(x), identifying discrete and continuous domain and range, writing linear models in slope-intercept and point-slope forms, modeling growth and decay with y = a(b)^x, and working with recursive and explicit forms of arithmetic and geometric sequences.

25% of this practice bank

Geometry, Transformations & Coordinate Proofs

Executing and describing rigid transformations (translations, reflections, rotations) in the coordinate plane, applying triangle congruence criteria (SSS, SAS, ASA, AAS, HL), using coordinate geometry distance and midpoint formulas, proving geometric properties with slopes of parallel (m1 = m2) and perpendicular (m1 · m2 = -1) lines, and computing perimeter and area of polygons.

15% of this practice bank

Statistics & Data Analysis

Summarizing quantitative data using measures of center (mean, median) and spread (IQR, standard deviation), constructing and interpreting box plots and histograms, analyzing two-way frequency tables for joint, marginal, and conditional probabilities, fitting linear regression models to scatter plots, and interpreting residuals and linear correlation.

How to Pass the RISE Secondary Mathematics I Exam

What You Need to Know

  • Passing score: No pass/fail cut score; results report a scale score plus one of four proficiency levels (Level 3 = Proficient)
  • Assessment: Computer-adaptive selected-response, equation-entry, and technology-enhanced tasks delivered online through the RISE portal.
  • Time limit: Untimed
  • Exam fee: $0 (state-funded; free for Utah public school students)

Keys to Passing

  • 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 Mathematics I Study Tips from Top Performers

1Master linear vs exponential growth: remember that linear functions grow by equal differences over equal intervals (y = mx + b), whereas exponential functions grow by equal factors over equal intervals (y = a · b^x).
2Practice multi-step linear equation and inequality solving, keeping strict track of sign reversals when multiplying or dividing inequalities by negative quantities.
3Memorize key coordinate geometry formulas: distance formula d = √((x₂ - x₁)² + (y₂ - y₁)²), midpoint formula M = ((x₁ + x₂)/2, (y₁ + y₂)/2), and perpendicular slopes m₂ = -1/m₁.
4Review rigid transformations on the coordinate plane: coordinate rules for rotations (90°, 180°, 270° counterclockwise), reflections across axes and y = x, and translations.
5Use residual plots and correlation coefficients (r) to evaluate whether a linear model is appropriate for scatter plot quantitative data.

Frequently Asked Questions

What is the format and structure of the Utah RISE Secondary Mathematics I exam?

The Utah RISE Secondary Mathematics I assessment is an untimed, computer-adaptive statewide test administered under the Utah State Board of Education (USBE). It measures student performance against Utah Core Standards (MI.*) using selected-response (multiple-choice), equation-entry, and technology-enhanced items (such as drag-and-drop, graphing tools, and inline selection).

How are scores and proficiency levels reported on Utah RISE high school math assessments?

RISE results are reported on a scale aligned to 4 official USBE proficiency levels: Level 1 Below Proficient, Level 2 Approaching Proficient, Level 3 Proficient, and Level 4 Highly Proficient. Achieving Level 3 or Level 4 demonstrates that a student has met or exceeded Utah state benchmark expectations for Secondary Mathematics I.

Are calculators permitted on the RISE Secondary Mathematics I test?

Yes. Students taking the RISE Secondary Mathematics I test have access to an embedded online graphing calculator (such as Desmos) on designated calculator-active sections, and handheld calculators conforming to USBE assessment guidelines are also permitted.

How do these multiple-choice practice questions compare to the operational RISE exam?

The 100 practice questions provided here feature multiple-choice adaptations designed to build standards mastery, algebraic fluency, and modeling skills. While these MCQs cover the exact Utah Core Standards (MI.*), local MCQs do not replace the multi-step equation entry or constructed mathematical reasoning tasks required on the operational computer-adaptive RISE test.