Math 105
1. Add
Sample Final
97  123  86
5  27  3
Multiply 2 3  3 2
Simplify
49
Subtract 18 from 198
List all the factors of 36.
2. Simplify
3.
4.
5.
6.
7. Write the fraction in simplest form
8. Multiply
24
42
3 8

4 15
2
2
3
9. Divide
10. Find the prime factorization of
84
1 3
3 6
3 4
18, 21
12. Find the LCM of
11. Multiply
3
1
8
10
10
1 1

14. Subtract
2 5
13. Add
4
15. Use the order of operations to simplify
7 1 1
 
8 4 7
16. Use the order of operations to simplify
27  2 
3
  
16  3 
20
2
17. A carpenter has a 12-foot board to be used to make windowsills. If each sill requires 2
5
feet,
16
how many sills can be made from the 12-foot board?
18. Round 24.7813 to the nearest thousandth.
19. Find the sum of
20. Subtract
34.125, 5.032 and 6.9003
12  0.962
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70.56
7 .2
21. Divide
22. Simplify
7.8  4.83  2.1  9.2
23. Simplify
1.42  1.8
24. Find the total cost of 3 sweaters at $38 each and 5 shirts at $25 each.
25. If the lengths of the legs of a right triangle are 9 inches and 12 inches, find the length of the
hypotenuse.
26. Find the perimeter of the rectangle.
6 in
8 in
27. Simplify   2
28. Simplify   8
29. Add
 12  5
 18   21
4 1
31. Add  
5 10
30. Add
32. Subtract
 3   6
33. Evaluate
 24
34. Divide
 32  8
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35. Simplify
36. Simplify
 20  5  5  15
28  10  51  6
2
37. Find the unknown number n for the proportion
3 9

8 n
38. What number is 18% of 425?
39. Convert 5 yards to feet.
40. Simplify the expression by combining like terms:
5x  4x  x  15
x  4  12
41. Solve the equation and check the solution:
4
8
x
5
15
42. Solve the equation:

43. Solve the equation:
23x  25x  7  9
44. Find the area of the geometric figures.
a)
b)
45. If the sales tax rate is 6%, find the sales tax on a microwave oven priced at $188.
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