Please see the attachment. All questions must be answered and work must be shown when needed. must be on time

8/14 OL1

INSTRUCTIONS

• Show work/explanation where indicated. Answers without any work may earn little, if any, credit.

1. (10 pts)

Consider the interval (0, 100]. For each numerical value below, is it in the interval or not?

(Just answer Yes or No)

0

2

_______

(Yes or No)

– 2 2 _______

(Yes or No)

| –4.5 | _______

(Yes or No)

− 1.2 10 2 _______

6 –4 _______

(Yes or No)

2. (4 pts)

Write the interval notation corresponding to the set notation {x | x < 1}.
3. (7 pts)
Perform the indicated operations and simplify:
(2 −1 − 4 −1) −2 .
Show work.
4. (8 pts)
24 × 4−1
Perform the indicated operations and simplify:
(−2)2 × 3−2
Note: × is a multiplication symbol here, not a variable.
Show work.
(Yes or No)
8/14 OL1
5. (8 pts)
Solve the absolute value inequality |3x + 2| ≤ 1. Write interval notation for the solution
set. Show work.
6. (8 pts)
Solve the absolute value inequality | 6 – 2x | 14. Write interval notation for the
solution set. Show work
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7. (9 pts)
Simplify: √75 − √100 + √50𝑥 2 . Give the exact answer (including a radical). Show work
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8. (10 pts)
Factor. (Work not required to be shown).
(a)
81x2 – 25
(b)
12x2 + 28x – 5
9. (12 pts)
Perform the indicated operations and simplify to get a polynomial:
(2x + 5)(3x – 5) – (3x – 2)2
Show work.
8/14 OL1
10. (8 pts)
Solve the equation
2x(x − 4) = 10. Show work.
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11. (8 pts)
Solve the equation 18 – 12(4 – x) = 3(2x + 2). Show work.
12. (8 pts)
12
Simplify: 2
𝑥 − 49
1
+ 𝑥+7
. Show work.
8/14 OL1