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Algebra 1 4.1 – 4.4 Quiz Review Name______________________ Assignment________________ Write the ordered pairs that correspond to points A, B, C, and D 1. 2. A A B B C C D D 3. Plot the following points in a coordinate plane. A. (-2, 6) B. (-5, -3) C. (4, 1) D. (6, -4) E. (0, 3) F. (0, -5) G. (-2, 0) H. (2, 0) I. (0, 0) 4. Label the quadrants in the coordinate plane below 5. List the quadrant that each of the points is in DO NOT PLOT THE POINTS 6. A. (-10, 75) B. (0, 12) C. (23, 16) D. (42, -85) E. (100, 0) F. (-1, -90) The following table shows various quiz grades for an algebra class, and how many students received each grade. Make a scatter plot of the data. Use the horizontal axis to represent the grade. To test if a point is a solution, I plug in the coordinate for _______ and _________ and then __________________ both sides of the equation. If the statement is true, then it _____________ a solution If the statement is false, then it is ___________ a solution Decide if either of the points is a solution to the given equation. 7. 3x y 18 8. y 18 a. ( -1, 21 ) b. ( 2, 11 ) a. ( 18, 0 ) b. ( 0, 18) 9. x 8 a. ( -8, 1) b. (1, -8 ) 10. y 4 x 23 a. (5, -3) b. (5, 3) Function Form means that I get __________ all alone on the _____________ side of the equation The right hand side looks like _____________ plus or minus a ________________ Write each equation in function form. 11. 2 x y 1 12. 3x y 2 13. 9 x 3 y 114 14. x 8 y 16 16. 4 x y 18 15. 7 2 y 5 x Use a table of values to graph the equation. 17. y 2 x 3 18. y 1 x 1 2 x y x y 19. 2 x y 5 x y Horizontal Lines go ____________ to _____________ The equation of a horizontal line is ___________ = a number Vertical Lines go ______________ and ____________ The equation of a vertical line is ___________ = a number Graph the following equations. 20. x 4 21. y 3.5 22. x 2 23. y 6 Write an equation for the graphs shown below. 24. 25. 26. 27. Intercepts are where my line crosses the ____________ x-intercept is when the graph crosses the _________________ You the find x-intercept by plugging in ______________ for __________ y-intercept is when the graph crosses the ________________ You the find y-intercept by plugging in ______________ for __________ Find the x-intercepts and the y-intercepts of the following equations. 28. x y 5 29. x y 9 x-int_______________ y-int___________________ x-int_______________ y-int___________________ 30. 3x y 15 x-int_______________ 31. 2 x 24 8 y y-int___________________ x-int_______________ y-int___________________ Use the graph below to find the x-intercept and the y-intercept. 32. 33. 34. x-int__________ y-int__________ x-int__________ y-int__________ Graph the line that has the given intercepts. 35. x-intercept: 2 36. x-intercept: 3 y-intercept: -2 y-intercept: -1 x-int__________ y-int__________ 37. x-intercept: 10 y-intercept: -6 Find the x-intercept and the y-intercept. Then use those points to graph the line. 38. y x 3 39. y 2 x 4 x-int__________ y-int__________ x-int__________ y-int__________ 40. 3x 5 y 15 x-int__________ y-int__________ 41. 4 x 2 y 4 x-int__________ y-int__________ 42. You sold tickets to the school play. Advanced tickers were $4. Tickets bought at the door were $5. Total ticket sales were $400. Let x represent the number of advanced tickets sold and y represent the number of tickets sold at the door. A. Find the x-intercepts and y-intercepts of the equation 4x + 5y = 400 and graph. B. Label the x-intercept and the y-intercept. What does each represent? Answers 1. A: (5, 1) B: (0, 4) C: (-3, -1) D: (0, 0) 2. A: (-4, 0) B: (2, 3) C: (1, -1) D: (-3, -5) C: I D: IV 6. See Graphs 7. a: Yes b: No 10. a: Yes 11. y = 2x – 1 3 – 4: See Graphs 5. A: II 14. y B: y-axis b: No 1 x2 8 15. y 5 7 x 2 2 E: x-axis 8. a: No F: III b: Yes 12. y = 3x – 2 See Graphs 18. (-2, -2) (-1, -1.5) (0, -1) (1, -0.5) (2, 0) See Graphs 19. (-2, 9) (-1, 7) (0, 5) (1, 3) (2, 1) See Graphs 28. x-int: (5, 0) 30. x-int: (-5, 0) 24. x = 2 y-int: (0, 5) y-int: (0, 15) b: No 13. y = -3x – 38 16. y = -4x + 8 17. (-2, -1) (-1, 1) (0, 3) (1, 5) (2, 7) 20-23: See Graphs 9. a: Yes 25. y = 4 26. x = -3.5 29. x-int: (-9, 0) y-int: (0, 9) 31. x-int: (12, 0) y-int: (0, -3) y-int: (0, 3) 27. y = -3.5 32. x-int: (3, 0) y-int: (0, 3) 33. x-int: (-1, 0) 34. x-int: (2, 0) y-int: (0, -2) 35-37: See Graphs 38. x-int: (-3, 0) y-int: (0, 3) 39. x-int: (2, 0) y-int: (0, -4) 40. x-int: (-5, 0) y-int: (0, 3) 41. x-int: (1, 0) y-int: (0, -2) 38-41 See Graphs 42. x-int: (100, 0) y-int: (0, 80) See Graph