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Answer Key. Lesson 1: Writing Linear Equations from Situations and Graphs Lesson 2: Writing Linear Equations from a Table Lesson 3: Linear Relationships and Bivariate Data Model Quiz Mixed Review Question 1. Answer: Question 1. Answer: Question 1. Answer: Question 2. Answer: Explanation: Question 3. Answer: Explanation: Essential Question Check-In Question 4. Answer: Independent Practice – Writing Linear Equations from Situations and Graphs – Page No. 131Question 5. Answer: Explanation: Question 6. Answer: Explanation: The graph shows a scuba diver’s ascent over time. Question 7. Answer: Explanation: Question 8. Answer: Explanation: Question 9. Answer: Question 10. Answer: Question 11. Answer: Explanation: Writing Linear Equations from Situations and Graphs – Page No. 132The graph shows the activity in a savings account. Question 12. Answer: Explanation: Question 13. Answer: Explanation: Question 14. Answer: Explanation: Question 15. Answer: H.O.T. Focus on Higher Order Thinking Question 16. Answer: Question 17. Answer: Question 18. Answer: Guided Practice – Writing Linear Equations from a Table – Page No. 136Question 1. Type below: ____________ Answer: y = -5/4 x + 20 Explanation: The table shows the temperature (y) at different altitudes (x). This is a linear relationship. Question 2. Answer: Explanation: Question 3. Answer: Explanation: Question 4. Answer: Explanation: Question 5. Answer: Explanation: Essential Question Check-In Question 6. Answer: Independent Practice – Writing Linear Equations from a Table – Page No. 137Question 7. Type below: ____________ Answer: Slope
m = (y2 -y1)/(x2 – x1) = (10 – 8)/(1 – 0) = 2/1 = 2 Question 8. Type below: ____________ Answer: Slope
m = (y2 -y1)/(x2 – x1) = (100 – 50)/(1 – 0) = 50/1 = 50 Question 9. Type below: ____________ Answer: Explanation: Question 9. Answer: Question 9. Answer: Explanation: The tables show linear relationships between x and y. Write an equation in slope-intercept form for each relationship. Question 10. Type below: ____________ Answer: Question 11. Type below: ____________ Answer: Writing Linear Equations from a Table – Page No. 138Question 12. Type below: ____________ Answer: Question
12. Answer: Explanation: Question 12. Answer: Explanation: Question 13. a. Is the relationship linear? Why or why not? Type below: ____________ Answer: Explanation: Question 13. Answer: Explanation: H.O.T. Focus on Higher Order Thinking Question 14. Answer: Question 15. Answer: Guided Practice – Linear Relationships and Bivariate Data – Page No. 144Use the following graphs to find the equation of the linear relationship. Question 1. Type below: ____________ Answer: Explanation: Find the slope using two points from the grapgh by Slope m = (y2 -y1)/(x2 – x1) where (x1, y1) = (1, 30) and (x2, y2) = (2, 60) Slope m = (y2 -y1)/(x2 – x1) = (60 – 30)/(2 – 1) = 30/1 = 30 y-intercept b = 0 Substituting the value of the slope m and y-intercept in the slope-intercept form. y = mx + b where, m = 30 and b = 0. y = 30x Question 2. Type below: ____________ Answer: Explanation: Find the slope using two points from the grapgh by Slope m = (y2 -y1)/(x2 – x1) where (x1, y1) = (2, 7) and (x2, y2) = (4, 12) Slope m = (y2 -y1)/(x2 – x1) = (12 – 7)/(4 – 2) = 5/2 = 2.5 y-intercept b = 2 Substituting the value of the slope m and y-intercept in the slope-intercept form. y = mx + b where, m = 2.5 and b = 2. y = 2.5x + 2 Question 3. Type below: ____________ Answer: Explanation: Does each of the following graphs represent a linear relationship? Why or why not? Question 4. ____________ Answer: Explanation: Question 5. ____________ Answer: Essential Question Check-In Question
6. Answer: Independent Practice – Linear Relationships and Bivariate Data – Page No. 145Does each of the following tables represent a linear relationship? Why or why not? Question
7. ____________ Answer: Explanation: Question 8. ____________ Answer: Explanation: Explain whether or not you think each relationship is linear. Question 9. Answer: Explanation: Question 10. Answer: Explanation: Question 11. Answer: Explanation: Question 12. Answer: Explanation: Question 13. Distance traveled in 1 min.: _______ ft. Answer: Explanation: The graph is a straight line. So, the Relationship is linear The equation representing the relationship between distance and time. y = 0.125x The value of x is 1 min = 60 sec y = 0.125 (60) = 7.5 ft Distance traveled in 1 min.: 7.5 ft. Linear Relationships and Bivariate Data – Page No. 146Question 14. Answer: Explanation: H.O.T. Focus on Higher Order Thinking Question 15. Type below: ____________ Answer: Explanation: Question 16. Answer: Explanation: Question 17. Answer: Question 18. Answer: 5.1 Writing Linear Equations from Situations and Graphs – Model Quiz – Page No. 147Write the equation of each line in slope-intercept form. Question 1. Type below: ____________ Answer: Explanation: Question 2. Type below: ____________ Answer: Explanation: 5.2 Writing Linear Equations from a Table Write the equation of each linear relationship in slope-intercept form. Question 3. Type below: ____________ Answer: Explanation: Question 4. Type below: ____________ Answer: Explanation: 5.3 Linear Relationships and Bivariate Data Write the equation of the line that connects each set of data points. Question 5. Type below: ____________ Answer: Explanation: Find the slope using two points from the graph by m = (y2 -y1)/(x2 – x1) where (x1, y1) = (20, 40), (x2, y2) = (50, 60) Substitute the value of m and (x1, y1) = (20, 40), (x2, y2) = (50, 60) Slope m = (y2 -y1)/(x2 – x1) = (60 – 40)/(50 – 20) = 20/30 = 2/3 Substituting the value of slope (m) and (x, y) in the slope intercept form to find y intercept (b): 40 = 2/3(20) + b y-intercept b = 26 2/3 Substituting the value of the slope m and y-intercept in the slope-intercept form. y = mx + b where, m = 2/3 and b = 26 2/3. y = 2/3x + 26 2/3 Question 6. Type below: ____________ Answer: Explanation: Find the slope using two points from the graph by m = (y2 -y1)/(x2 – x1) where (x1, y1) = (25, 65), (x2, y2) = (30, 50) Substitute the value of m and (x1, y1) = (25, 65), (x2, y2) = (30, 50) Slope m = (y2 -y1)/(x2 – x1) = (50 – 65)/(30 – 25) = -15/5 = -3 Substituting the value of slope (m) and (x, y) in the slope intercept form to find y intercept (b): 50 = -3(30) + b y-intercept b = 140 Substituting the value of the slope m and y-intercept in the slope-intercept form. y = mx + b where, m = -3 and b = 140. y = -3x + 140 Essential Question Question 7. Answer: Selected Response – Mixed Review – Page No. 148Question 1. Answer: Explanation: Question 2. Options: a. A b. B c. C d. D Answer: Explanation: Question 3. Options: a. slope = 0.05, y-intercept = 1,500 b. slope = 0.5, y-intercept = 1,500 c. slope = 0.05, y-intercept = 2,000 d. slope = 0.5, y-intercept = 2,000 Answer: Explanation: Question 4. Answer: Explanation: Mini-Task Question 5. a. Is the relationship linear or nonlinear? _____________ Answer: Explanation: Question 5. Answer: Question 5. Answer: Explanation: Conclusion:Go Math Grade 8 Answer Key Chapter 5 Writing Linear Equations PDF to Download. Learn the modern maths in a simple way with the help of Go Math Grade 8 Chapter 5 Answer Key. Quickly begin your learning by downloading a PDF of Go Math Grade 8 Chapter 5 Writing Linear Equations Solution Key. |