Algebra 1 Mid-Term Exam Review
This is your mid-term exam review. The questions that you see here are the type of questions you will see next week on your mid-term exam. Feel free to use your book and help each other out, but remember that you won’t get to use anything on the mid-term next week. Follow the directions for each question and show all of your work on a separate sheet of paper. This exam review is due on the day of your exam and will count as a 15% of your exam grade! Good luck!
1. Simplify: 2. Simplify: 3. Simplify:
4. Mr. and Mrs. Phillips are going to build a new home with a foundation that is in the shape of a square. The house will cover 222 square yards. Find the length of the side of the house to the nearest tenth of a yard.
5. Simplify: 6. Simplify:
7. Simplify: 8. Simplify:
9. Simplify: 10. Simplify:
11. Simplify: 12. Simplify:
13. Solve for x: 14. Solve for a:
15. Solve for h: 16. Solve for p:
17. Solve for x: 18. Solve for a:
19. Solve for c: 20. Solve for x:
21. Solve for y: 22. Solve for x:
23. Solve for y: 24. Solve for s:
25. Solve for x: 26. Solve for f:
27. Solve for x: 28. Solve for y:
29. Roger is 5 ft tall and casts a shadow that is 3.5 ft long. At the same time, the flagpole outside his school casts a shadow that is 14 ft long. Write and solve a proportion to find the height of the flagpole.
30. A tower casts a 450 ft shadow at the same time that a 4 ft child casts a 6 ft shadow. Write and solve a proportion to find the height of the tower.
31. 40 is what percent of 25? 32. 57 is what percent of 30?
33. 16 is 10% of what number? 34. 16% of what number is 94?
35. A sales representative earns a 2.5% commission on sales. Find the commission earned when the total sales are $80,700.
36. Joe earns $150 per week plus 12% commission on sales. Pete earns $200 per week plus 8% commission on sales. Last week, both had sales of $1500. Who earned more money?
37. Solve and graph on a number line:
38. Solve and graph on a number line:
39. Solve and graph on a number line:
40. Solve for x:
41. Solve for x:
42. Solve for k:
43. How do you know if a relation is a function?
44. Is {(6,2), (-1,2), (-3,2), (-5,2)} a function?
45. Is {(-5,26), (5,0), (10,11), (-5,36)} a function?
46. Write a rule in function notation: Steven buys lettuce that costs $1.69/lb.
47. An amusement park charges a $6.00 parking fee plus $29.99 per person. Write a rule in function notation, and find the total cost for 4 people parking together to go to the amusement park.
For #48-50, identify whether the correlation would be positive, negative, or no correlation.
48. The temperature in Houston and the number of cars sold in Boston.
49. The number of members in a family and the size of their grocery bill.
50. The number of times you sharpen your pencil and the length of your pencil.
51. Find the x and y-intercepts of .
52. Find the x and y-intercepts of .
53. Draw a line with slope of .
For #54-57, find the slope of the line with the given information.
54. the line contains the points (-2,3) and (5,6).
55. a horizontal line
56. a vertical line
57. the line contains the points (2,7) and (4,4)
58. The value of y varies directly with x, and when . Find y when .
59. Write the equation of the line in slope-intercept form:
60. Write the equation of the line in slope-intercept form:
61. Graph . 62. Graph . 63. Graph .
For #64-65, write an equation of the line in point-slope form with the given slope and point that it passes through.
64. slope of 5, passes through (1,4)
65. slope of , passes through (6,4)
For #66-67, write an equation in slope-intercept form with the given information.
66. slope of , passes through (6,4)
67. passes through the points (-1,2) and (4, -23)
For #68-70, tell whether the following lines are parallel, perpendicular, or neither.
68. ;
69. ;
70. ;
For #71-72, find the equation of the line in slope-intercept form.
71. parallel to and has a y-intercept of 6
72. perpendicular to and has a y-intercept of -3
73. Graph both the original equation and the perpendicular equation from #72.
For #74-76, solve the systems and write your answer as a point!
74. 75. 76.