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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:  6 2
2. Simplify:
 62
3. Simplify: 5 3
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:
7. Simplify:
400
6  2  3  9  7 2
6. Simplify:
9
8. Simplify: 50  10  2
9. Simplify: 3  4  10  2  1
10. Simplify: 12x  8x  4  7 x
11. Simplify: 5x  3  7 x
12. Simplify: 5 x 2  2 x  3x 2
13. Solve for x: 3x  3  18
14. Solve for a: 15 
15. Solve for h: 6h  7  17
16. Solve for p: 17  3 p  5  8
17. Solve for x: 17  x  3x  1
18. Solve for a: 7a  17  4a  1
19. Solve for c: 3c  5  2c  5
20. Solve for x: 2x  4  3x  2
21. Solve for y: 6 y  8  9  6 y
22. Solve for x: 6  2x  1  4x  8  6x  3
23. Solve for y: 4 y  3x  5
24. Solve for s:  2  4r  s
25. Solve for x:
3 1

x 8

26. Solve for f:

a
2
3
f 3 7

12
2
27. Solve for x:
x 1 x 1

3
5
28. Solve for y:
3
16

2y y  2
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: 3  5  2x
38. Solve and graph on a number line: 4x  3  24
39. Solve and graph on a number line:  x  5  2
40. Solve for x: 2x  4x  6
41. Solve for x: 54  x  32  x
42. Solve for k: 2k  7  2k  14
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  3x  5 y  30 .
52. Find the x and y-intercepts of 4 x  2 y  16 .
53. Draw a line with slope of 
2
.
3
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 y  6 when x  12 . Find y when x  27 .
59. Write the equation of the line in slope-intercept form: 6 x  3 y  12
60. Write the equation of the line in slope-intercept form: 4 x  y  9
61. Graph y  12 x  2 .
62. Graph y  3 x  1 .
63. Graph y  x  4 .
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
2
, passes through (6,4)
3
For #66-67, write an equation in slope-intercept form with the given information.
66. slope of
1
, passes through (6,4)
2
67. passes through the points (-1,2) and (4, -23)
For #68-70, tell whether the following lines are parallel, perpendicular, or neither.
68. y   56 x  8 ; y   56 x  4
69. x  6 y  15 ; y  6 x  8
70. y  9  3x  1 ; y  0
For #71-72, find the equation of the line in slope-intercept form.
71. parallel to y  12 x  4 and has a y-intercept of 6
72. perpendicular to y  12 x  4 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!
y  x  3
74. 
 y  2 x  12
4 x  y  1
75. 
2 x  y  5
2 x  y  3
76. 
 x  3 y  12