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Algebra Unit 5 Corrective 1 Show all work on a separate sheet of work paper. Remember to follow the criteria for credit. Competency 1: Eq. Of Line (slope/int) 1. Write an equation of the line shown in the graph below: Competency 2: Point-slope/st. form 6. Write the equation y = 4 x − 2 in 5 standard form. y 7. Write the equation y + 2 = 4( x + 3) in standard form. 8. Write an equation of the line that passes through (2,-3) and has a slope of -3. 9. Write an equation of the line that passes through (6,3) and (4,2). Put your answer in standard form. 10. Write an equation of the line that passes through (2,-6) and (2,-4). Put your answer in standard form. 5 4 3 2 1 -5 –4 -3 –2 -1 -1 1 2 3 4 x 5 –2 -3 –4 -5 2. Find the equation of the line whose slope is 1 and whose 4 Competency 3: Fit. Line /Lin. Models y-intercept is -4 3. Find the equation of the line that has a y-intercept of 3 and a slope of 0. 4. Find the equation of the line that is parallel to the graph of 11. Using the scatter plot below, state whether x and y have a positive correlation, negative correlation, or no correlation. 2 y = − x + 4 , and whose 3 4 y-intercept is 5. 5. Y 6 2 Find the equation of the line that is perpendicular to the graph of 0 -6 -4 -2 0 -2 5 y = x − 2 , and whose 4 2 4 6 X -4 y-intercept is 6. -6 Page 1 of 3 © Mastery Mathematics update Algebra 12. Unit 5 Draw a properly labeled scatter plot for the data in the chart below: (years) Age # of Movies Attended 17 28 18 26 18 24 19 20 20 16 22 20 22 12 24 12 25 12 26 8 Corrective 1 18. Find the slope and y-intercept of the graph of 2x + 3y = -4. 19. Graph 3x + 2y = 4. 20. If f ( x) = −2 x − 18, find f (− 3) . Competency 5: D.P. #2 13. For the scatter plot in #12, draw a line of best fit and then find the equation of this line. 14. Use the scatter plot and the equation of the best fit line to predict the number of movies attended at age 30, if the trend continues. 15. Graph f(x) = 4x -1 and g(x) = 4x – 4. Then describe the transformation from f(x) to g(x). 5 (3 x − 6) + 1 = 4 3 21. Solve: 22. Using the formula V = lwh, calculate the length of a container if the volume is 147 cm 3 , the width is 7 cm, and the height is 3 cm. 23. If you randomly select two numbers from {12,13,14}, what is the probability that the sum of the two numbers is even? A number can only be used once in the sum. 24. You are selecting 3 books to buy on sale. You have decided to pick one mystery book, one romance novel and one sports autobiography. Your bookstore has 3 mysteries, 2 romance novels, and 6 sports autobiographies. How many varieties of books could you buy on sale? 25. Determine if the point (-3, 4) is on the graph of 3x – 4y = -22. Justify your answer. Competency 4: D.P. #1 16. Find the slope of the line through (-6, 2) and (5,2). 17. Find the x and y intercepts of the equation 3x – 2y = 9. Page 2 of 3 © Mastery Mathematics update Algebra Unit 5 Corrective 1 19. y 5 26. Answers: 1. y = x+4 1 y = x−4 4 2. 3. 4 3 2 1 -5 –4 -3 –2 -1 6. 7. 8. 9. 10. 11. 12. 2 3 4 5 x -3 –4 2 y = − x+5 3 4 y =− x+6 5 5. 1 –2 y=3 4. -1 -5 4x – 5y = 10 4x – y = -10 3x + y = 3 x – 2y = 0 x=2 no correlation 13. 20. -12 21. x= 22. 7 cm 23. 1 3 24. 25. Movie Attendance By Age 28 24 13 5 36 The number of subscriptions you sell is the independent variable. 20 16 12 8 4 0 17 19 21 23 25 27 Age (years) 14. 15. 16. 17. y = -2x + 60 or with calculator y = -1.98x + 59.54 0 movies m=0 x-intercept is 3, y-intercept is − 18 9 2 2 4 m = − and b = − 3 3 Page 3 of 3 © Mastery Mathematics update