Easy Algebra 12 Questions Quiz

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 8/14 OL1 7. (9 pts) Simplify: √75 − √100 + √50𝑥 2 . Give the exact answer (including a radical). Show work 8/14 OL1 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. 8/14 OL1 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