Quiz 1 for MathExpert121

Please have done by Thursday and show all work. Thank you!

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UMUC Math-107, Quiz #1 Instructor: Killough

Instructions

• This quiz is worth 100 points. Individual point values for each problem are shown next to the problem

number. The material is ONLY from week #1.
• 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, except
for the instructor.

• The quiz will be available for 7 days. Students must submit their answers and detailed work by
Sunday at midnight. Late exams will be penalized 10% per day.

• Students must submit all detailed work, where indicated. In some cases, there will be multiple choice
or short answer solutions that do not require work. Answers without work may earn little or no credit,
so if you are not sure, include your work.

• You may type or write your work in your copy of the quiz, or if you prefer, create a separate
document containing your work. Scanned work is also acceptable. Be sure to include your name at the
top of any submitted document.

1. (12 pts) Consider the interval [0, ∞). For each numerical value below, is it in the interval or not?
Just answer Yes or No for all parts (a to f). No work is required.

(a)    !

!
(b) – 2 3 (c ) | – 4 | (d) 6.2 × 10 -2 (e) (-2) –2 (f) − −4

2. (8 pts) Write the interval notation corresponding to the set notation {x | x < -2}. 3. (8 pts) Perform the indicated operations and simplify: (2 -1 + 4 -1) −1 . Show work.

4. (8 pts) Perform the indicated operations and simplify:
!”  ×  !!!  

!! !×  !!!  
Show work.

Note: × is a multiplication symbol here, not a variable.

5. (8 pts) Solve the absolute value inequality | 4x – 2 | ≤ 6. Show work.
Write the solution in interval notation.

6. (8 pts) Solve the absolute value inequality | 8 – 2x | ≥ 12. Show work.
Write the solution in interval notation.

7. (8 pts) Simplify: 32 − 18 + 4𝑥! Show work.
Give the exact answer (including a radical). Decimal approximations are NOT exact answers.

8. (8 pts) Factor and simplify the following terms. Show work.

(a) 16×2 – 49 (b) 2×2 – 5x – 3

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9. (8 pts) Perform the indicated operations and simplify to a polynomial in standard form. Show work.

(x + 5)(2x – 2) – (x – 2)2

10. (8 pts) Solve the equation: x(x + 2) = 8. Show work.

11. (8 pts) Solve the equation: 2(4 – x) = 3(x + 1). Show work.

12. (8 pts) Simplify:
!

!!  !  !
+ !

!  !  !
  . Show work.