{
 "model": "allam-2-7b",
 "provider": "Groq API (free tier)",
 "task": "math8-linear",
 "prompt": "Write an 8-question quiz for 8th graders on solving linear equations in one variable, including equations with variables on both sides, distributing, and one equation with no solution and one with infinitely many solutions. Provide a step-by-step answer key.",
 "system": "You are helping a grade 3-8 teacher. Produce classroom-ready material.",
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 "ran_at": "2026-10-16T08:00:03-0700",
 "output": "Title: Solving Linear Equations Quiz for 8th Graders\n\nInstructions: This quiz consists of 8 multiple-choice questions on solving linear equations in one variable. Choose the best answer for each question and write down the corresponding letter (A, B, C, or D). If none of the given options are correct, write \"E.\"\n\n1. What is the solution to the equation 2x - 5 = 7?\n   A) x = 1\n   B) x = 9\n   C) x = 4\n   D) x = 3\n   E\n\n2. Solve the equation 3x + 2 = 14:\n   A) x = 4\n   B) x = 6\n   C) x = 8\n   D) x = 2\n   E\n\n3. Simplify the equation: (x + 3)(x - 2) = 0\n   A) x = -3, x = 2\n   B) x = -2, x = 3\n   C) x = -1, x = 5\n   D) x = -2, x = 3\n   E\n\n4. Solve the equation: x(3x - 5) = 10\n   A) x = 2, x = 5\n   B) x = 2, x = 0.5\n   C) x = 1, x = 4\n   D) x = 1, x = 4\n   E\n\n5. Solve the equation: (x - 3)(x + 2) = 0\n   A) x = 3, x = -2\n   B) x = 3, x = -2\n   C) x = -2, x = 3\n   D) x = -2, x = 3\n   E\n\n6. Solve the equation: 2x - 5y = 15\n   A) x = 3, y = 2\n   B) x = 3, y = -5\n   C) x = 3, y = 1\n   D) x = 3, y = -2\n   E\n\n7. Solve the equation: 3x + 5 = 0\n   A) x = -2\n   B) x = -1\n   C) x = -2.5\n   D) x = -1\n   E\n\n8. Solve the equation: x\u00b2 + 3x = 12\n   A) x = -2, x = 3\n   B) x = -1, x = 4\n   C) x = -2, x = 3\n   D) x = -2, x = 3\n   E\n\nAnswer Key:\n\n1. E\n2. D\n3. D\n4. D\n5. D\n6. D\n7. B\n8. C\n\nTo solve these equations, follow the steps for solving linear equations:\n\n1. Simplify both sides of the equation if possible.\n2. Isolate the variable by performing inverse operations (addition, subtraction, multiplication, or division) on both sides.\n3. Solve for the variable.\n4. Check your solution(s) by substituting them back into the original equation and ensuring it holds true.\n\nRemember that equations with no solution are indicated by \"E,\" and equations with infinitely many solutions are indicated by \"D.\" Good luck with your quiz! ",
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