Math 112
Sample Final
Fall 2012
1. Simplify 45  40  8
2. Subtract  27   22
3. Simplify  10  3   2
4. Subtract 7   13
5. Simplify 34  2   6  32
6. Add  5   12
7. Simplify 35  8  42  6
8. Simplify 3  8  2 
9. Simplify by using the order of operations
24.2  12.6  3.8 2.15
10. Simplify by using the order of operations
1 1  1 5 
   
4 2 3 6
3
11. Divide
3 5

16 12
12. Add
13. Add 
2 1

3 4
14. Subtract
15. Subtract 
9 3

14 7
2 1

3 6
5x 2 x

12 9
1
3
16. Subtract 8  5
5
11
3
2
17. Divide 6  1
4
7
18. Solve
19. Solve 2  3x  14
20. Solve 8m  56
21. Solve 8x  5  3x  10
22. Solve
x
24
x
5
5
5
n

9 27
23. Solve 65x  88x  9
24. Solve  3x  9  41  4  60
25. Translate the sentence to an equation then
solve. Use x to represent “a number”.
Two added to twice a number gives  14 . Find
the number.
26. Translate the sentence to an equation then solve.
Five subtracted from a number equals 10. Find the
number.
27. Translate the sentence to an equation then
solve
Twice a number subtracted from 60 is 20. Find
the number.
28. Translate the sentence to an equation then solve
The difference of three times a number and five times
the same number is 4. Find the number.
29. Translate the sentence to an equation then
solve
The product of a number and 3 is twice the
difference of that number and 8. Find the
number.
30. Translate the sentence to an equation then solve
Twice the sum of a number and four is ten. Find the
number.
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31. Find the product 6 x 4 3x 2  7 x 5
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33. Simplify 4 x 2 y 3


4
32. Multiply  3 y 2  6 y
34. Simplify y11  y  y 4
35. Multiply 3x  42 x  5
36. Multiply  x  3
37. Diane bought a pair of boots on sale. She paid
60% of the original price. If she paid $75
(before tax), how much was the original price?
38. John worked 21
2
1
hours over the last 6 days. If he
2
worked the same amount each day, how long was he at
work each day?
39. The temperature at noon on a Monday in
December was  11 C . By noon on Tuesday,
it had warmed by 17  C . What was the
temperature at noon on Tuesday?
40. Mrs. Smith’s first-grade class is going to the zoo. She
pays a total of $324 for 36 admission tickets. How
much does each ticket cost?
41. Sara has $762 in her savings account. She
wants to buy a camera that costs $237. If she
buys the camera, how much money will she
have in her account?
7 1

10
2
42. Simplify
4 3

5 4
43. Find the perimeter of a rectangle wholes length
7
5
is
meter and width is
meter
12
12
44. Find the area of a triangle whose base is 4.2 miles and
height is 1.1 miles
45. Find the area of a circle whose radius is 5 cm.
22
Use
for 
7
46. The legs of a right triangle have lengths 35 and 28.
Find the length of the hypotenuse.
47. Perform the indicated operation
6 y  3  8 y  5
48. Subtract 16 x 2  x  1 from 12 x 2  3x  12
3
49. Graph the equation y   x
4
50. Graph the equation y  3 x  4
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