MAT 1033A

1. MAT 1033A Test 1 Review and Practice Solutions

2. Calculators and calculating devices are strictly prohibited. • Tests may not be made up for any reason other than a mandatory school – sponsored activity for which you must miss class. • If you miss one test for any other reason, your final exam score will be substituted for that test. A second missed test is a zero. No homework bonuses are awarded on a test when the final exam is substituted or you receive a zero on a missed test.

3. Be sure to complete at least 80% of your pie for Objective 1 to receive the 10 point bonus. Your percentage must be at least 80.0% to receive the bonus.

4. Exam Topics

6. Practice Test Solutions Test 1

7. 1) Solve the linear inequality. Write the solution in interval notation.

8. 2) Max’s scores on her first four biology quizzes were 90, 79, 85, and 62. What does he need on the fifth quiz to have an average of at least 75? 59 or higher.

9. 3) Determine whether each ordered pair is a solution ofa) b) a) b)

10. (4) Find the x and y intercepts of . Graph the line.

11. 5) Graph each line.a) b)

12. (6) Find the slope of the line between the points (8, −4) and (2, −3).

13. (7) Find the slope and y intercept of each line.a) b) a) b)

14. 8) Find the equation of the line with slope that contains the point Write your answer in slope-intercept form. Remember: You can check this!

15. 8) Find the equation of the line with slope that contains the point Write your answer in slope-intercept form. Remember: You can check this!

16. 9) Find the equation of the line through the points . Write your answer in slope-intercept form. Remember: You can check this! OR

17. (10) Determine if the two lines are parallel, perpendicular or neither. perpendicular

18. (11)(a) Find the equation of the line parallel to through Write your answer in slope – intercept form. OR

19. (11) (b) Find the equation of the line perpendicular to through . Write your answer in slope – intercept form. OR

20. 12) Graph the linear inequality 1) Graph the line 2) Test 3) Shade the region opposite the region that has

21. (13) Consider the relation{(0, −4), (2, −1), (0, 3)}. a) What is the domain of the relation? b) What is the range of the relation? c) Is the relation a function?

22. (14) Is the relation represented by the graph below a function? no

23. (15) Suppose . Complete the function table.

24. (16) Find the domain and range of the function graphed below. Be sure to write the domain and range in interval notation. Domain: Range:

25. (17) Find the domain (interval notation) of .

26. (18) Which ordered pair solves the system? A) B) B

27. (19) Solve each system of linear equations by substitution or elimination. a) 2x + y = 4 4x + 2y = −6 Substitution 2x + y = 4 y = −2x + 4 4x + 2(−2x + 4) = −6 4x – 4x + 8 = −6 8 = −6 False No Solution Answer → { } Elimination Multiply first equation by −2 −4x + −2y = −8 4x + 2y = −6 0 = −14 False No Solution Answer → { }

28. (19) Solve each system of linear equations by substitution or elimination. b) 3x + y = −1 y – x = 3 Elimination 3x + y = −1 −x + y = 3 Multiply second by 3 3x + y = −1 −3x + 3y = 9 Add. 4y = 8 ⟶y = 2 3x + y = −1 3x + 2 = −1 3x = −3 x = −1 Answer→ (−1,2) Substitution 3x + y = −1 y = −3x + −1 −3x + −1 – x = 3 −4x + −1 = 3 −4x = 4 x = −1 Since y = −3x + −1, y = −3(−1) + −1 = 2 Answer→ (−1,2)

29. (20) Sam charges $5.25 for one slice of pizza and one medium soda and $14.25 for three slices of pizza and two medium sodas. How much does each item cost?

30. Extra Practice Problems Test 1

31. 1) Solve. Write your answer in interval notation.

32. 1) Solve. Write your answer in interval notation.

33. 2) Jake scored 12 points against Allentown, 18 points against Charleston, and 10 points against Leesville. His team plays Moreyville tonight. How many points must Jake score to average at least 15 points over the four games?

34. 2) Jake scored 12 points against Allentown, 18 points against Charleston, and 10 points against Leesville. His team plays Moreyville tonight. How many points must Jake score to average at least 15 points over the four games? Jake must score at least 20 points.

35. 3) Determine whether is a solution of

36. 3) Determine whether is a solution of

37. 4) Determine the x and y intercepts of Graph the line.

38. 4) Determine the x and y intercepts of Graph the line. y

39. 5) Graph each line.a) b) 3

40. 5) Graph each line.a) b) 3

41. (6) Find the slope of the line between the points ( and

42. (6) Find the slope of the line between the points ( and

43. (7) Find the slope and y intercept of each line.a) b)

44. (7) Find the slope and y intercept of each line.a) b) a) b)

45. 8) Find the equation of the line with slope that contains the point

46. 8) Find the equation of the line with slope that contains the point OR

47. 9) Find the equation of the line through the points . Write your answer in slope-intercept form.

48. 9) Find the equation of the line through the points . Write your answer in slope-intercept form. OR

49. 10) Determine if the two lines are parallel, perpendicular or neither.

50. 10) Determine if the two lines are parallel, perpendicular or neither. parallel