Math 112
Sample Final
1. Subtract
 21   10
2. Simplify
32  4  6
3. Evaluate the expression
5  2x for x  2
4. Write the phrase as a variable expression. Use x to represent “a number”
Ten subtracted from twice a number
5. Add
 20   4
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6. Multiply
 3   4   2
7. Solve
x  8  12
8. Solve
7 x  6  10x
9. Simplify
10. Solve
 4x  2  2x  3
43x  5  2x
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11. Multiply

8 3

9 10
12. Write the fraction in simplest form
13. Simplify
 123  5 3  2 3
14. Simplify
5 7  6  4 2  3  2 4
3
72 x 2 y 3
36 xy
2
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15. Simplify the complex fraction
16. Simplify the expression

2 1 5 
    . Use the order of operations to simplify.
3  6 12 
17. Perform the indicated operation
18. Divide
5 1

6 4
1
12 x
6
2
1
5
3
4
 0.0063  0.03 . Round the quotient to the nearest thousandth if necessary.
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2 10

7 x
19. Solve the proportion for x ,
20. Find the square root
16
49
21. What number is 68% of 120?
22. Graph the linear equation
x y 3
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23. Find the perimeter of the rectangle.
5 cm
7 cm
24. Find the area of the triangle
6m
8m
25. Convert 12 feet to inches.
26. Subtract the polynomials
32x
2
 

 3x  4  15 x 2  x  3
27. Ms. Smith’s class is going to the zoo. She pays a total of $324 for 36 admission tickets. How
much does each ticket cost?
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28. Solve
x 5
3
 
12 6
4
29. Write the ratio as a fraction in simplest form:
30. Write
The ratio of 900 to 9000.
3
as a decimal.
5
31. Multiply
2x  33x  4
32. Multiply
 x  5 2
33. Simplify
y3  y4
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34. Simplify
2x 5
35. Simplify
 4a b 3ab 
2
3
2 2
36. The legs of a right triangle have lengths 35 and 28. Find the length of the hypotenuse.
37. Write the prime factorization of 80.
38. Find the sales tax paid on a $25.50 purchase if the sales tax rate is 8.5%. Round to the nearest
percent.
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39. Of the 12,360 freshmen entering County College, 2000 are enrolled in prealgebra. Find the
percent of entering freshmen who are enrolled in prealgebra. Round to the nearest whole percent.
40. On a road map of Texas, 0.75 inch represents 80 miles. The distance from El Paso to Dallas is
1025 miles. Find the distance between these cities on the map. Round to the nearest tenth of an
inch.
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