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A STORY OF RATIOS Lesson 3 804 An equation is a statement about equality between two expressions. If the expression on the left side of the equal sign has the same value as the expression on the right side of the equal sign, then you have a true equation. A solution of a linear equation in x is a number, such that when all instances of x are replaced with the number, the left side will equal the right side. For example, 2 is a solution to 3x+4=x+8 because when x = 2, the left side of the equation is and the right side of the equation is 3x+4=3(2)+4 =6+4 <= 10, x+8=2+8 = 10. Since 10 = 10, then x = 2 is a solution to the linear equation 3x + 4 = x+8. Problem Set 1. Given that 2x + 7 = 27 and 3x + 1 = 28, does 2x + 7 = 3x + 1? Explain. 2. Is -5 a solution to the equation 6x + 5 = 5x+8+ 2x? Explain. 3. Does x = 1.6 satisfy the equation 6 -4x= -? Explain. 4. Use the linear equation 3(x + 1) = 3x + 3 to answer parts (a)-(d). a. Does x = 5 satisfy the equation above? Explain. b. Is x = -8 a solution of the equation above? Explain. 1 C. ls x = = ½ a solution of the equation above? Explain. d. What interesting fact about the equation 3(x + 1) = 3x + 3 is illuminated by the answers to parts (a), (b), and (c)? Why do you think this is true? EUREKA MATH Lesson 3: Linear Equations in x TM This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org GB-M4-SE-13.0-07.2015

A STORY OF RATIOS Lesson 3 804 An equation is a statement about equality between two expressions. If the expression on the left side of the equal sign has the same value as the expression on the right side of the equal sign, then you have a true equation. A solution of a linear equation in x is a number, such that when all instances of x are replaced with the number, the left side will equal the right side. For example, 2 is a solution to 3x+4=x+8 because when x = 2, the left side of the equation is and the right side of the equation is 3x+4=3(2)+4 =6+4 <= 10, x+8=2+8 = 10. Since 10 = 10, then x = 2 is a solution to the linear equation 3x + 4 = x+8. Problem Set 1. Given that 2x + 7 = 27 and 3x + 1 = 28, does 2x + 7 = 3x + 1? Explain. 2. Is -5 a solution to the equation 6x + 5 = 5x+8+ 2x? Explain. 3. Does x = 1.6 satisfy the equation 6 -4x= -? Explain. 4. Use the linear equation 3(x + 1) = 3x + 3 to answer parts (a)-(d). a. Does x = 5 satisfy the equation above? Explain. b. Is x = -8 a solution of the equation above? Explain. 1 C. ls x = = ½ a solution of the equation above? Explain. d. What interesting fact about the equation 3(x + 1) = 3x + 3 is illuminated by the answers to parts (a), (b), and (c)? Why do you think this is true? EUREKA MATH Lesson 3: Linear Equations in x TM This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org GB-M4-SE-13.0-07.2015

Essentials of Business Analytics (MindTap Course List)
Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter5: Probability: An Introduction To Modeling Uncertainty
Section: Chapter Questions
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A STORY OF RATIOS Lesson 3 804 An equation is a statement about equality between two expressions. If the expression on the left side of the equal sign has the same value as the expression on the right side of the equal sign, then you have a true equation. A solution of a linear equation in x is a number, such that when all instances of x are replaced with the number, the left side will equal the right side. For example, 2 is a solution to 3x+4=x+8 because when x = 2, the left side of the equation is and the right side of the equation is 3x+4=3(2)+4 =6+4 <= 10, x+8=2+8 = 10. Since 10 = 10, then x = 2 is a solution to the linear equation 3x + 4 = x+8. Problem Set 1. Given that 2x + 7 = 27 and 3x + 1 = 28, does 2x + 7 = 3x + 1? Explain. 2. Is -5 a solution to the equation 6x + 5 = 5x+8+ 2x? Explain. 3. Does x = 1.6 satisfy the equation 6 -4x= -? Explain. 4. Use the linear equation 3(x + 1) = 3x + 3 to answer parts (a)-(d). a. Does x = 5 satisfy the equation above? Explain. b. Is x = -8 a solution of the equation above? Explain. 1 C. ls x = = ½ a solution of the equation above? Explain. d. What interesting fact about the equation 3(x + 1) = 3x + 3 is illuminated by the answers to parts (a), (b), and (c)? Why do you think this is true? EUREKA MATH Lesson 3: Linear Equations in x TM This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org GB-M4-SE-13.0-07.2015
Transcribed Image Text:A STORY OF RATIOS Lesson 3 804 An equation is a statement about equality between two expressions. If the expression on the left side of the equal sign has the same value as the expression on the right side of the equal sign, then you have a true equation. A solution of a linear equation in x is a number, such that when all instances of x are replaced with the number, the left side will equal the right side. For example, 2 is a solution to 3x+4=x+8 because when x = 2, the left side of the equation is and the right side of the equation is 3x+4=3(2)+4 =6+4 <= 10, x+8=2+8 = 10. Since 10 = 10, then x = 2 is a solution to the linear equation 3x + 4 = x+8. Problem Set 1. Given that 2x + 7 = 27 and 3x + 1 = 28, does 2x + 7 = 3x + 1? Explain. 2. Is -5 a solution to the equation 6x + 5 = 5x+8+ 2x? Explain. 3. Does x = 1.6 satisfy the equation 6 -4x= -? Explain. 4. Use the linear equation 3(x + 1) = 3x + 3 to answer parts (a)-(d). a. Does x = 5 satisfy the equation above? Explain. b. Is x = -8 a solution of the equation above? Explain. 1 C. ls x = = ½ a solution of the equation above? Explain. d. What interesting fact about the equation 3(x + 1) = 3x + 3 is illuminated by the answers to parts (a), (b), and (c)? Why do you think this is true? EUREKA MATH Lesson 3: Linear Equations in x TM This work is derived from Eureka Math ™ and licensed by Great Minds. ©2015 Great Minds. eureka-math.org GB-M4-SE-13.0-07.2015
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