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Malachi and Wesley each solved the equation 2(3x - 1) = 16. Malachi used the distributive property of multiplication over addition to justity his first step. Wesley used the division property of equality to justify his first step. Write what equation each student would have after the first step is completed?

Malachi and Wesley each solved the equation 2(3x - 1) = 16. Malachi used the distributive property of multiplication over addition to justity his first step. Wesley used the division property of equality to justify his first step. Write what equation each student would have after the first step is completed?

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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%20Linear%20Equations.pdf 6 / 20 100% multiplication? (1) 3 · x 2 = 3 2 x (2) 3 + x + 2 = 3 +2 +x (3) 3-x-2 = 3 – 2 – x 3. (4) 2 B. Show how you arrived at your answers. 1. Malachi and Wesley each solved the equation 2(3x- 1) = 16. Malachi used the distributive property of multiplication over addition to justify his first step. Wesley used the division property of equality to justify his first step. Write what equation each student would have after the first step is completed? 2. Justify each step of this solution to the equation 3(x + 3) – 5 = 22. 3(x + 3) - 5 = 22 3(x +3) = 27 3x+9 = 27 3x = 18 x = 6 3. Sandra calculates 5(3 +7) by writing 5 3 +7 15+7= 22. Solomon does it by writing 5(10) = 50. Which person is correct, and why? 4. Joel rewrites 6 - x as x - 6 and justifies it with the reason "The commutative property of subtraction." What is wrong with this reasoning? 5. Natalie simplified 3(5 · 2) as 3·5 3 2 to get 90. Lucy says the answer is 30. Who is correct, and what is wrong with the other person's logic? Chapter One SOLVING U
Transcribed Image Text:%20Linear%20Equations.pdf 6 / 20 100% multiplication? (1) 3 · x 2 = 3 2 x (2) 3 + x + 2 = 3 +2 +x (3) 3-x-2 = 3 – 2 – x 3. (4) 2 B. Show how you arrived at your answers. 1. Malachi and Wesley each solved the equation 2(3x- 1) = 16. Malachi used the distributive property of multiplication over addition to justify his first step. Wesley used the division property of equality to justify his first step. Write what equation each student would have after the first step is completed? 2. Justify each step of this solution to the equation 3(x + 3) – 5 = 22. 3(x + 3) - 5 = 22 3(x +3) = 27 3x+9 = 27 3x = 18 x = 6 3. Sandra calculates 5(3 +7) by writing 5 3 +7 15+7= 22. Solomon does it by writing 5(10) = 50. Which person is correct, and why? 4. Joel rewrites 6 - x as x - 6 and justifies it with the reason "The commutative property of subtraction." What is wrong with this reasoning? 5. Natalie simplified 3(5 · 2) as 3·5 3 2 to get 90. Lucy says the answer is 30. Who is correct, and what is wrong with the other person's logic? Chapter One SOLVING U
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