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TEC 302 Quiz: Simplifying Expressions and Solving Equations, Quizzes of Pre-Calculus

A review quiz for tec 302, a college-level mathematics class. The quiz covers topics such as simplifying expressions, solving equations by factoring and completing the square, and adding rational expressions. Students who have not recently taken a precalculus algebra class may find the material challenging and are encouraged to review the prerequisite material before attempting the quiz. The quiz consists of 133 problems.

Typology: Quizzes

Pre 2010

Uploaded on 08/16/2009

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TEC 302 Review Quiz
The prerequisite to this class is MS 112 Precalculus Algebra (College Algebra). If it has been
more than a few years since you have had an algebra class you may not be prepared for this
class. To help you determine if you are ready to take this class here are some problems to
work. You may need to look up and review some of the concepts covered by these problems.
If after reviewing, you are still not able to work these problems without making (major)
mistakes or without looking at previous worked problems, examples, etc., then you are not
ready for this class. We will not discuss how to work these problems in class.
If you are not prepared for this class your best options are:
1. Retake MS 112
2. Audit MS 112
3. Take MS 115 Precalculus Algebra and Trigonometry (if you have the prereqs)
We will cover material in this class that utilizes these basic skills. If you do not have the
background material your chances of passing are greatly diminished.
Simplify the following expressions:
1. 23
2. 42
3. โˆ’32
4. 100
5. 2โˆ’2
6. (โˆ’3)โˆ’3
7. ๎˜’1
2๎˜“3
8. ๎˜’3
2๎˜“2
9. ๎˜’โˆ’3
5๎˜“2
10. ๎˜’131
157๎˜“0
11. ๎˜’2
7๎˜“โˆ’1
12. ๎˜’2
3๎˜“โˆ’2
13. ๎˜’4
12๎˜“โˆ’3
Simplify the following expressions:
14. โˆš4
15. โˆš9
16. โˆš25
17. 3
โˆšโˆ’8
18. 3
โˆš27
19. โˆšโˆ’4
20. โˆšโˆ’36
21. 4
โˆš81
22. 4
โˆš625
23. 10
โˆš1024
24. โˆš12
25. โˆš20
26. โˆš18
27. โˆš50
28. 3
โˆš24
29. 3
โˆš54
30. โˆš100
Simplify the following expressions:
31. 41
2
32. 81
3
33. 121
2
34. 43
2
35. 83
2
36. 82
3
37. 123
2
38. 321
5
39. 813
4
40. 1213
2
1
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TEC 302 Review Quiz

The prerequisite to this class is MS 112 Precalculus Algebra (College Algebra). If it has been more than a few years since you have had an algebra class you may not be prepared for this class. To help you determine if you are ready to take this class here are some problems to work. You may need to look up and review some of the concepts covered by these problems. If after reviewing, you are still not able to work these problems without making (major) mistakes or without looking at previous worked problems, examples, etc., then you are not ready for this class. We will not discuss how to work these problems in class. If you are not prepared for this class your best options are:

  1. Retake MS 112
  2. Audit MS 112
  3. Take MS 115 Precalculus Algebra and Trigonometry (if you have the prereqs) We will cover material in this class that utilizes these basic skills. If you do not have the background material your chances of passing are greatly diminished. Simplify the following expressions:
  4. 2^3
  5. 4^2
  6. โˆ’ 32
  7. 10^0

5. 2โˆ’^2

6. (โˆ’3)โˆ’^3

Simplify the following expressions:

  1. โˆš 4
  2. โˆš 9
  3. โˆš 25

17. โˆš^3 โˆ’ 8

18. โˆš^327

21. โˆš^481

22. โˆš^4625

28. โˆš^324

29. โˆš^354

Simplify the following expressions:

  1. 4 12
  2. 8 13

Simplify the following expressions:

  1. x^2 x^3
  2. x^5 x^2
  3. 2^327
  4. x 12 x^13
  5. x 23 x^15
  6. x 32 xโˆ’^43
  7. (x^2 )^3
  8. (x^4 )^5
  9. (x^3 )^11
  10. (x^2 )^12
    1. (x^2 )^14
    2. (x 23 )^54
    3. (x 43 )^72
    4. (xy)^2
    5. (2x)^3
    6. (โˆ’ 3 x)^2
    7. (4xy)^2
    8. (x^2 y^3 )^2
    9. (3x^4 y^2 z^5 )^3

(x y

( 2 x y

( 3 x 2 y^3

( (^4) x 3 12 y^5

  1. x 3 x^2
  2. x 3 x^5
  3. x

7 x^2

67.^2 x 3 x^5

  1. 10 x 6 15 x^13
  2. x

(^4) y 3 x^5 y^2

  1. xy

7 x^3 y^4

71.^2 x

(^2) y 3 4 x^3 y

72.^6 x

(^8) y 14 y^6

( (^) x (^2) y 3 x^3 y^2

( (^) x (^7) y 2 x^4 y^6

( (^) xy 5 x^3 y^2

xโˆ’^2 y^3 x^3 yโˆ’^4

Do the following multiplications:

  1. (x + 2)(x + 3)
  2. (x + 5)(x โˆ’ 4)
  3. (x โˆ’ 3)(x + 4)
  4. (x โˆ’ 2)(x โˆ’ 6)
  5. (x โˆ’ 4)(2x + 3)
  6. (3x โˆ’ 5)(2x + 1)
  7. (4x + 5)(3x โˆ’ 7)
    1. (x + 2)^2
    2. (x โˆ’ 3)^2
    3. (2x + 1)^2
    4. (x + 2)(x^2 โˆ’ 2 x + 3)
    5. (2x โˆ’ 3)(3x^2 + 5x โˆ’ 2)
    6. (x^2 + 5x + 2)(x^2 โˆ’ 3 x โˆ’ 3)
    7. (2x^2 + 3x โˆ’ 4)(3x^2 โˆ’ 4 x + 1)
    1. x^2 + 5x +
    1. x^2 + 11x +
    1. x^2 โˆ’ 8 x +
    1. x^2 + 5x โˆ’
    1. x^2 โˆ’ 5 x โˆ’
        1. x^2 + 9x +
        1. x^2 + 8x โˆ’
        1. 9x^2 + 30x +
        1. 12x^2 โˆ’ x โˆ’
      1. 4x^2 + 3x โˆ’
      - 101. 4x^2 + 7x โˆ’ - 102. 20x^2 + 31x โˆ’ - 103. 3x^2 + 10x + - 104. 4 โˆ’ 4 x โˆ’ 15 x - 105. 4x^2 โˆ’ x + 
    1. x^2 + 5x + 6 = Solve the following by factoring:
    1. x^2 + x โˆ’ 30 =
    - 108. x^2 โˆ’ 8 x โˆ’ 48 = - 109. 2x^2 + 19x + 84 = - 110. 16x^2 โˆ’ 8 x + 1 = - 111. 6x^2 โˆ’ 5 x โˆ’ 21 = 
    1. x^2 + 4x โˆ’ 2 = Solve the following by completeing the square:
    1. x^2 + 2x โˆ’ 1 =
    - 114. x^2 + 8x โˆ’ 4 = - 115. x^2 + 3x โˆ’ 2 = - 116. x^2 + 2x + 6 = - 117. 3x^2 + 5x โˆ’ 1 = 
    1. x^2 + 2x โˆ’ 1 = Solve the following by the quadratic formula:
    1. x^2 + 5x + 8 =
    - 120. x^2 + 3x โˆ’ 2 = - 121. 2x^2 + x โˆ’ 4 = - 122. 3x^2 โˆ’ 2 x + 5 = - 123. 4x^2 + 2x + 1 = 
    1. 2 x 2 โˆ’ 1 + 2 x 3 โˆ’ Add the following rational expressions:
    1. 2 x^3 x+ 5 +
    1. x^2 + x
    1. x^2 + x โˆ’^3 127. x^33 โˆ’ 2 x
      1. x 2 โˆ’x 3 + x
      1. x 2 2 โˆ’ 9 + x 2 + 5^3 x +
      1. x 2 2 โˆ’x 16 + x โˆ’^7
      1. x 2 โˆ’ 36 x โˆ’ 54 + x 2 + 5^10 x โˆ’
      1. x 2 5 + 3 + x 2 + 4^2 x โˆ’