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
Chapter1: Financial Statements And Business Decisions
Section: Chapter Questions
Problem 1Q
Related questions
Question
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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