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Linear Functions Review

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  1. Linear Functions Review • Rules of the game. • Each person in your group needs to answer. • Answer Sheets will be collected at the end of the period. • Answers will be entered on the calculator. • Some are fill in the blank while others are multiple choice. • The first person in with the correct answer gets the points for his/her group. • You have until the music stops playing to answer the question. However, some questions will require more time and will be given when appropriate. • In the event of a tie the points will be split among the groups. • Let’s Begin

  2. Slope Relations and Functions Slope-Intercept Form Systems of Equations Writing Equations Using Intercepts 100 100 100 100 100 100 200 200 200 200 200 200 300 300 300 300 300 300 400 400 400 400 400 400 500 500 500 500 500 500 600 600 600 600 600 600 700 700 700 700 700 700

  3. 100 State the Domain of the given relation: (-3, -5), (3, 4), (5, -4), (2, -4) (2, 6) D =

  4. 100 Find the slope of the line that passes through the given points: (-5, 4) and (6, 8)

  5. 100 • In the slope intercept form of the equation y = mx + b, what does the m represent? • Slope • Y-intercept

  6. 100 Is the point (-2, -3) a solution to the given system of equations? y = 3x +3 y = -x – 5 Yes or No

  7. 100 Find the x – intercept for the equation 2x + 3y = 12.

  8. 100 Write the equation of the line in slope-intercept form with the given slope and y-intercept. Slope = -5/3 y-intercept = -5

  9. 200 State the range of the given relation: (-3, -5), (3, 4), (5, -4), (2, -4) (2, 6) R =

  10. 200 Find the slope of the line below.

  11. 200 Identify the slope of the line with the given equation.

  12. 200 Identify the solution to the system.

  13. 200 Find the y-intercept of the given equation.

  14. 200 Write the equation of the line through the given points. (0, 4), and (3, 5)

  15. 300 Is the given relation a function?

  16. 300 Find the slope of the line through the given points. (-13, 6), and (8, -17)

  17. 300 For the line with the given equation, find the slope of a parallel line that passes through the point (0, -5)

  18. 300 • If two lines are parallel, how many solutions are there? • 1 solution • No solution • Infinitely many solutions

  19. 300 Find the x – intercept of the equation

  20. 300 For the line with the given equation, find the slope of a line that is perpendicular to the given line.

  21. 400 The amount of rainfall in your town is recorded every day for a month. A relation is given by the ordered pairs (inches of rain, day of month). Does this relation represent a function?

  22. 400 Find the slope of the line with the given intercepts x- intercept = -2.5 y - intercept = 1.5

  23. 400 • Identify the slope and y-intercept of the line with the given equation. • Slope = -4/3, y-intercept = 6 • Slope = -3/4, y-intercept = 6

  24. 400 Daily Double Solve the system by graphing.

  25. 400 Find the intercepts of the equation.

  26. 400 Write the equation of the line that is parallel to the given line and passes through the point (0, -5).

  27. 500 Is the given relation a function?

  28. 500 Daily Double Which line has the greater slope? Line A: (20, -18), (1, -2) Line B: (-3, -4), (15, 16)

  29. 500 Which equation is the following equation in slope-intercept form? a. c. b. d.

  30. 500 Solve the system by Graphing x = 3 y = 4

  31. 500 Identify the intercepts for the equation

  32. 500 Write an equation of the line that is perpendicular to the line y = -3x + 4 and passes through the point (0, 7). Write your answer in slope intercept form.

  33. 600 State the domain for the given function.

  34. 600 Find the coordinates of two points on the line with the given equation. Then use the points to find the slope of the line.

  35. 600 Daily Double For the lines with the given equation, place the equation in slope intercept form and find the y-intercept.

  36. 600 The graphs of the three equations below form a triangle. Find the coordinates of one of the vertices.

  37. 600 Find the intercepts for the given equation.

  38. 600 Write an equation of the line through the given points. (0, -6), (8, -16)

  39. 700 Every relation is a function. True or False.

  40. 700 The grade of a road is its slope written as a percent. A warning sign must be posted if a section of road has a grade of at least 8% and is more than 750 feet long. A road rises 63 feet over a horizontal distance of 840 feet should a warning sign be posted? What is the grade?

  41. 700 Find the slope of a line that is perpendicular to the line with the given equation.

  42. 700 A business rents in-line skates and bicycles to tourists on vacation. A pair of skates rents for $15 per day. A bicycle rents for $20 per day. On a certain day, the owner of the business has 25 rentals and takes in $450. Write and solve a system of linear equations to find the number of skates rented.

  43. 700 Find the intercepts of the given equation.

  44. 700 Write an equation through the given points. (-2, -11), (0, -11)