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12.12 Rearrange and Use Physics Equations Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Physics Science worksheet provides structured practice on 12.12 Rearrange and Use Physics Equations. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Rearrange and Use Physics Equations: Choose the correct algebraic rearrangement or substitution sequence for solving a physics equation. Aligned to NGSS, CCSS Literacy and Mathematics, AP Physics, and selected state frameworks 12.12 - Rearrange and Use Physics Equations: NGSS SEPs: Using Mathematics and Computational Thinking; CCSS HSN-Q.A, HSA-CED.A, HSF-IF, HSF-BF, HSG-MG, HSS-ID, MP1-MP8; AP Physics mathematical routines; TX TEKS Physics §112.45(c); FL SC.912.N.1 and math connections; VA PH.1; MA/CA/NY HS science practices.

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Physics

Subject

Science

Domain

Science Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 12.12 Rearrange and Use Physics Equations skill assessments:

Problem 1Difficulty: Mastery

In a photoelectric stopping-potential experiment, eV_s = hf - phi. Which rearrangement solves for work function phi?

Aphi = eV_s - hf

Bphi = hf/eV_s

Cphi = eV_s/hf

Dphi = hf - eV_s

Solution & Explanation:Subtract eV_s from both sides of hf = eV_s + phi to isolate the work function.

Problem 2Difficulty: Mastery

A wire has resistance R = rho L/A and circular area A = pi r². Which expression solves for wire radius r?

Ar = rho L/(pi R)

Br = sqrt(pi R/(rho L))

Cr = sqrt(rho L/(pi R))

Dr = sqrt(rho LR/pi)

Solution & Explanation:Solve for area A = rho L/R, set pi r² equal to that area, then take the square root.

Problem 3Difficulty: Mastery

Relativistic kinetic energy is K = (gamma - 1)mc² and gamma = 1/sqrt(1 - v²/c²). Which sequence correctly solves for v?

AFind gamma = K/(mc²) - 1, then use v = c sqrt(1 - gamma²).

BFind gamma = K/(mc²) + 1, then use v = c sqrt(1 - 1/gamma²).

CFind gamma = mc²/K + 1, then use v = c/gamma.

DSet K = gamma mc² and solve v = c sqrt(1 - gamma²).

Solution & Explanation:The kinetic-energy equation gives gamma first; then invert the Lorentz-factor equation to isolate v.

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Frequently Asked Questions

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QIs this 12.12 Rearrange and Use Physics Equations worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Physics Science students. It aligns with educational standard 12.12 (NGSS SEPs: Using Mathematics and Computational Thinking; CCSS HSN-Q.A, HSA-CED.A, HSF-IF, HSF-BF, HSG-MG, HSS-ID, MP1-MP8; AP Physics mathematical routines; TX TEKS Physics §112.45(c); FL SC.912.N.1 and math connections; VA PH.1; MA/CA/NY HS science practices.).