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# MAT1033 - Test 1

### Linear Equations

Question | Answer |
---|---|

3. Find the x- and y-intercepts and then graph each equation: 4x - 36 =12 | 3. (3,0); (0,-4) |

4. Find the x- and y-intercepts and then graph each equation: 5x+ 76 = 28 | 4. (28/5,0); (0,4) |

5. Find the x- and y-intercepts and then graph each equation: 2x + 56 = 20 | 5. (10,0); (0,4) |

6. Find the x- and y-intercepts and then graph each equation: x - 4y + 8 | 6. (8,0); (0,-2) |

9. Find the slope of each line: Thru (-1,2) and (4,-5) | 9. -7/5 |

10. Find the slope of each line: Thru (0,3) and (-2, 4) | 10. -1/2 |

11. Find the slope of each line: y = 2x + 3 | 11. 2 |

12. Find the slope of each line: 3x - 46 = 5 | 12, 3/4 |

13. Find the slope of each line: x = 5 | 13. undefined |

14. Find the slope of each line: Parallel to 3y = 2x = 5 | 14. 2/3 |

15. Find the slope of each line: Perpendicular to 3x - y = 4 | 15. -1/3 |

16. Find the slope of each line: Thru (-1,5) and (-1, -4) | 16. undefined |

17. Find the slope of each line: Picture of Graph | 17. -1/3 |

18. Find the slope of each line: Picture of Graph | 18. -1 |

19. Tell Whether each line has Positive, negative, 0, or undefined slope: Picture of Graph | 19. positive |

20. Tell Whether each line has Positive, negative, 0, or undefined slope: Picture of Graph | 20. negative |

21. Tell Whether each line has Positive, negative, 0, or undefined slope: Picture of Graph | 21. undefined |

22. Tell Whether each line has Positive, negative, 0, or undefined slope: Picture of Graph | 22. 0 |

25. Find an equation for each line. (a) Write the equation in slope-intercept form (b) Write the equation in standard form Slope -1/3; y-int (0,-1) | 25. (a) y = -1/3x -1 (b) x + 3y = -3 |

26. Find an equation for each line. (a) Write the equation in slope-intercept form (b) Write the equation in standard form Slope 0; y-int (0, -2) | 26. (a) y = -2 (b) y = -2 |

27. Find an equation for each line. (a) Write the equation in slope-intercept form (b) Write the equation in standard form Slope -4/3; thru (2,7) | 27. (a) y = -4/3x + 29/3 (b) 4x + 3y = 29 |

28. Find an equation for each line. (a) Write the equation in slope-intercept form (b) Write the equation in standard form Slope 3; thru (-1,4) | 28. (a) y = 3x + 7 (b) 3x - y = -7 |

29. Find an equation for each line. (a) Write the equation in slope-intercept form (b) Write the equation in standard form Vertical; thru (2,5) | 29. (a) not possible (b) x - 2 |

30. Find an equation for each line. (a) Write the equation in slope-intercept form (b) Write the equation in standard form Thru (2,-5) and (1,4) | 30. (a) y = -9x + 13 (b) 9x + y =13 |

31. Find an equation for each line. (a) Write the equation in slope-intercept form (b) Write the equation in standard form Thru (-3,-1) and (2,6) | 31. (a) y = 7/5x + 16/5 (b) 7x - 5y = -16 |

32. Find an equation for each line. (a) Write the equation in slope-intercept form (b) Write the equation in standard form The line pictured in Exercise 18 | 32. (a) y = -x + 2 (b) x + y = 2 |

33. Find an equation for each line. (a) Write the equation in slope-intercept form (b) Write the equation in standard form Parallel to 4x - y = 3 and thru (7,-1) | 33. (a) y = 4x -29 (b) 4x - y = 29 |

37. Graph the solution set of each inequality 3x - 26 <_ 12 | 37. see p.A-9 |

38. Graph the solution set of each inequality 58 - y > 6 | 38. see p.A-9 |

39. Graph the solution set of each inequality 2x + y <_ 1 and x>_ 2y | 39. see p.A-9 |

2.1 Solve each equation 1. -(8 + 3x) + 5 = 2x + 6 | 2.1 1. {-9/5} |

2.1 Solve each equation 2. -3/4x = -12 | 2.1 2. {16} |

2.1 Solve each equation 3. 3x + 1 /3 - x - 1 /4 = 0 | 2.1 3. {-7/5} |

2.1 Solve each equation 4. 4(2x - 3) = 6(x - 1) + 4x | 2.1 4. 0 |

2.1 Solve each equation. Then tell whether the equation is conditional, an identity, or a contradiction 5. 7x - 3(2x - 5) + 5 + 3x = 4x + 20 | 2.1 5. {all real numbers}; identity |

2.1 Solve each equation. Then tell whether the equation is conditional, an identity, or a contradiction 6. 8x - 4x - (x - 1) + 3x - (4 - x) = -(x +5) -5 | 2.1 6. 0; contradiction |

7. -2x + 6(x-1) + 3x - (4 - x) = -(x + 5) - 5 | 2.1 7. {0}; conditional |

Created by:
stevenlittle