Math 112
1. Simplify 45  40  8
Sample Final
ANSWERS
Fall 2012
2. Subtract  27   22
40
-5
3. Simplify  10  3   2
-16
5. Simplify 34  2   6  32
4. Subtract 7   13
20
6. Add  5   12
-17
3
7. Simplify 35  8  42  6
-25
9. Simplify by using the order of operations
24.2  12.6  3.8 2.15
17.07105…
8. Simplify 3  8  2 
3
-213
10. Simplify by using the order of operations
1 1  1 5 
   
4 2 3 6
1
2
3 5

16 12
11. Divide
12. Add
9
20
13. Add 

5
6
2 1

3 4
14. Subtract
5
12
5x 2 x

12 9
7x
36
15. Subtract 

2 1

3 6
15
14
9 3

14 7
or
1
1
3
16. Subtract 8  5
5
11
1
14
3
2
17. Divide 6  1
4
7
21
or
4
5
1
4
19. Solve 2  3x  14
x4
21. Solve 8x  5  3x  10
x3
2
51
55
18. Solve
x
24
x
5
5
x  4
20. Solve 8m  56
m7
22. Solve
5
n

9 27
n  15
23. Solve 65x  88x  9
x  72
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.
2x  2  14
x  8
27. Translate the sentence to an equation then
solve
Twice a number subtracted from 60 is 20. Find
the number.
24. Solve  3x  9  41  4  60
x  4
26. Translate the sentence to an equation then solve.
Five subtracted from a number equals 10. Find the
number.
x  5  10
x  15
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.
60  2x  20
3x  5x  4
x  20
x  2
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.
3x  2x  8
x  16
30. Translate the sentence to an equation then solve
Twice the sum of a number and four is ten. Find the
number.
2x  4  10
x 1

31. Find the product 6 x 4 3x 2  7 x 5

32. Multiply  3 y 2  6 y
18 x 6  42 x 9

33. Simplify 4 x 2 y 3
 18y 3

4
256 x 8 y12
35. Multiply 3x  42 x  5
6 x 2  23x  20
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?
75 is 60% of what?
75  0.6  n
34. Simplify y11  y  y 4
y 16
36. Multiply  x  3
2
x 2  6x  9
1
hours over the last 6 days. If he
2
worked the same amount each day, how long was he at
work each day?
38. John worked 21
3
7
hrs
12
$125
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?
$9
11  17  6C
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?
$525
7 1

10
2
42. Simplify
4 3

5 4
24
31
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
A  2.31 sq.mi.
P  2 meters
45. Find the area of a circle whose radius is 5 cm.
22
Use
for 
7
78
4
sq.cm.
7
46. The legs of a right triangle have lengths 35 and 28.
Find the length of the hypotenuse.
(round to the nearest tenth)
35 2  28 2  c 2
44.8218...
44.8 cm
47. Perform the indicated operation
6 y  3  8 y  5
 2y 8
3
49. Graph the equation y   x
4
Draw a line on a coordinate graph,
Some of the points will include the following:
(0,0), (4,-3), (-4,3), (8,-6), (-8,6)



48. Subtract 16 x 2  x  1 from 12 x 2  3x  12

 4 x 2  2 x  13
50. Graph the equation y  3 x  4
Draw a line on the coordinate graph,
Some of the points will include the following:
(0,-4), (1,-1), (2,2), (-1,-7), (-2,-10)
(3,5), (4,8)