MATH 107 Quiz I College Algebra

12 Problems…Please see attachment.

Show work…

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MATH 107 QUIZ 1
NAME: _______________________________
March, 2019
Instructor: S. Sands
I have completed this assignment myself, working independently and not consulting anyone except the instructor.
INSTRUCTIONS
• The quiz is worth 100 points. There are 12 problems. This quiz is open book and open notes. This means that
you may refer to your textbook, notes, and online classroom materials, but you must work independently and
may not consult anyone (and confirm this with your submission). You may take as much time as you wish,
provided you turn in your quiz no later than Sunday, March 31.
• Show work/explanation where indicated. Answers without any work may earn little, if any, credit. You
may type or write your work in your copy of the quiz, or if you prefer, create a document containing your work.
Scanned work is acceptable also. In your document, be sure to include your name and the assertion of
independence of work.
• General quiz tips and instructions for submitting work are posted in the Quizzes module.
• If you have any questions, please contact me by e-mail.
1. (10 pts) Consider the interval (–, 0]. For each numerical value below, is it in the interval or not?
(Just answer Yes or No)
– 62 _______
(Yes or No)
40 − 1
3
_______
(Yes or No)
| –3.8| _______
–9.5 10 7 _______
(Yes or No)
2
–5
(Yes or No)
2. (4 pts) Write the interval notation corresponding to the set notation {x | x ≤ –2}.
3. (7 pts) Perform the indicated operations and simplify:
(18 −1 − 27 −1)−2 .
63 × 3−2
4. (8 pts) Perform the indicated operations and simplify:
(−2)5 × 10−3
Note: × is a multiplication symbol here, not a variable.
Show work.
Show work.
_______
(Yes or No)
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5. (8 pts) Solve the absolute value inequality |5x – 8| ≤ 7. Show work. Write interval notation
for the solution set.
6. (8 pts) Solve the absolute value inequality |4 – 9x|  14. Show work. Write interval notation
for the solution set.
7. (9 pts) Simplify: √75 − √27 + √12𝑥 2 Show work. Give the exact answer (including a radical).
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8. (10 pts) Factor. (Work not required to be shown).
(a)
25×2 – 81
(b)
12×2 + 5x – 2
9. (8 pts) Solve the equation 3(8 – x) = 9 – 5(x – 2) . Show work.
10. (8 pts) Solve the equation (x − 7)(x + 1) = 9. Show work.
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11. (10 pts) Perform the indicated operations and simplify to get a polynomial:
(7x – 3)(2x + 1) – (2x – 5)2. Show work.
5
12. (10 pts) Simplify: 2
𝑥 + 3𝑥 − 4
4
+ 𝑥 2 − 6𝑥 + 5
. Show work.