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What reasoning should be given for part A of the flowchart proof? 5(4+2x)-(8x-12) 10 20 + 10x-8x + 12 10 %3D Given x = -11 2x = -22 Division C Property of Equality O Subtraction Property of Equality O Addition Property of Equality O Distributive Property O 2x + 32 = 10 %3D

What reasoning should be given for part A of the flowchart proof? 5(4+2x)-(8x-12) 10 20 + 10x-8x + 12 10 %3D Given x = -11 2x = -22 Division C Property of Equality O Subtraction Property of Equality O Addition Property of Equality O Distributive Property O 2x + 32 = 10 %3D

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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**Transcription for Educational Website** **Title: Understanding Flowchart Proofs in Algebra** **Question:** What reasoning should be given for part A of the flowchart proof? **Flowchart:** - **Given:** \(5(4 + 2x) - (8x - 12) = 10\) - **Step A:** \(20 + 10x - 8x + 12 = 10\) - **Step B:** Result leading from Step A - **Step C:** - \(x = -11\) - Use of the Division Property of Equality - **Next:** \(2x = -22\) connects back from Step B **Answer Options:** - ⃝ Subtraction Property of Equality - ⃝ Addition Property of Equality - ⃝ Distributive Property - ⃝ \(2x + 32 = 10\) This exercise challenges students to identify the correct reasoning or algebraic property used in part A of a flowchart proof, facilitating their understanding of algebraic manipulations. The primary focus is on recognizing steps and applying the appropriate algebraic properties for solving linear equations.
Transcribed Image Text:**Transcription for Educational Website** **Title: Understanding Flowchart Proofs in Algebra** **Question:** What reasoning should be given for part A of the flowchart proof? **Flowchart:** - **Given:** \(5(4 + 2x) - (8x - 12) = 10\) - **Step A:** \(20 + 10x - 8x + 12 = 10\) - **Step B:** Result leading from Step A - **Step C:** - \(x = -11\) - Use of the Division Property of Equality - **Next:** \(2x = -22\) connects back from Step B **Answer Options:** - ⃝ Subtraction Property of Equality - ⃝ Addition Property of Equality - ⃝ Distributive Property - ⃝ \(2x + 32 = 10\) This exercise challenges students to identify the correct reasoning or algebraic property used in part A of a flowchart proof, facilitating their understanding of algebraic manipulations. The primary focus is on recognizing steps and applying the appropriate algebraic properties for solving linear equations.
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