Algebra 2 Extended Summer Packet - Fractions, Radicals, Graphing, Factoring, Quadratics - No Calculator

Aug 29, 2026

Algebra 2 Extended Summer Packet for the 2024-2025 school year provides a structured, practice-focused set of math problems to strengthen essential pre-course skills without using a calculator. Students complete all questions neatly numbered, show all work, and review required topics including fractions operations, simplifying and rationalizing radicals, graphing with tables of values, complete factoring methods, and solving quadratics by factoring or quadratic formula. Teacher review occurs on the first day of school, followed by a summative assessment on the second day.

LanguageEnglish

CategoryExam

FormatPDF

Pages8

Reading Time20 min

AccessFree to download

Directions and Assessment

Completion Rules

Assessment Schedule and Requirements

Extra Support

Skill #1: Fractions

Skill #2: Radicals

Skill #3: Graphing

Skill #4: Factoring

Skill #5: Solving Quadratics

Challenge Problems

Name Algebra 2 Extended Summer Packet This packet is to be completed by students enrolled in Algebra 2 Extended for the 2024-2025 school year. This packet is to be completed WITHOUT a calculator. Directions: 1. Please complete all questions in the workspace provided or on a separate sheet of paper that is clearly and neatly numbered. 2. You must show all your work for each question. If you are stuck, please use the resource links provided in the section. 3. Your teacher will check this assignment on the FIRST day of school at the beginning of class. This will be your first completion grade so make sure you have attempted each problem. 4. If there are questions that you had a difficult time with, please list them in the box below (or highlight them on a separate sheet of paper). We expect you to use the resources provided if you are stuck but understand there may be additional support needed for some questions. Assessment: 1. On the second day of math, you will have a SUMMATIVE based on the skills in this summer packet. 2. You will get 5 points for bringing your TI-84 GRAPHING CALCULTOR to class with you on the day of the test. This is a required tool that you will use throughout high school. Extra Support: 1. The math department will have extra help days for the summer packet close to the return of school. Please check the school’s website during the summer for the dates. 2. On the first day back to school, we will dedicate time in class to go over the answers and for you to ask your teacher questions. Skill \#1: Fractions Perform the indicated operation. Remember, no calculators. Need a refresher? Helpful Link for fraction review: [https://www.youtube.com/watch?v=rl7e0djo9Go](https://www.youtube.com/watch?v=rl7e0djo9Go) | 1. 23 + 34 = | 9 3
2. ~~ ~~ – ~~ ~~ = 10 16 | | --- | --- | | 3. 78 – 130 = | 4. 2 ~~ ~~14 + 56 = | | 5. 38 × 27 = | 6. 170 × 25 = | | 7. 9 ÷ 34 = | 8. 65 ÷ 45 = | | !"
9. ! =

" | !"
10. \#!$~~ ~~ =
% | Skill \#2: Radicals Simplify each radical. Remember, to rationalize the denominator if necessary. Need a refresher? Helpful Link for simplifying radicals: [https://www.youtube.com/watch?v=u2Z1hoXSrXk&t=186s](https://www.youtube.com/watch?v=u2Z1hoXSrXk&t=186s) Helpful Link for rationalizing: [https://www.youtube.com/watch?v=5j8a75aHaSE](https://www.youtube.com/watch?v=5j8a75aHaSE) | 11. √18 | | 12. √300 | | | --- | --- | --- | --- | | 13. !√40 | | 14. √! 160 | | | 15. √128 | | 16. √! 128 | | | 17. | | 18. | | | 19. | | '√' 20. ~~ ~~√( | | Skill \#3: Graphing Graph the following. Use a table of values if you get stuck. | Need a
Helpful Link for graphing with a table of values: h | refresher?
[ttps://www.youtube.com/watch?v=uMMaefcypT8](ttps://www.youtube.com/watch?v=uMMaefcypT8) | | --- | --- | | 21. 􀀩 = %! 􀀫 − 3
| 22. 5􀀩 = 2􀀫 − 5
| | 23. 3􀀫 + 2􀀩 = 4
| 24. 􀀩 = 􀀫 %
| | 25. 􀀩 = √􀀫
| 26. 􀀩 = |􀀫 |
| Skill \#4: Factoring Factor each polynomial completely. Need a refresher? Helpful Link for factoring: [https://www.youtube.com/watch?v=U6FndtdgpcA](https://www.youtube.com/watch?v=U6FndtdgpcA) Factoring Methods: 1. GCF 2. Perfect Squares 3. Trinomials (split the middle, slip-n-side, etc.) 4. Grouping | 27. 18a3b + 9ab5-12ab | 28. 72x2-54xy 4 | | --- | --- | | 29. 12x3y 2-8x2y 4 | 30. 25a2-1 | | 31. 100x2-9y 2 | 32. 20x4-45y 8 | | 33. 144b4-25c2 d 4 | 34. x 2 + 10x + 16 | | 35. x 2 + 5x-36 | 36. 􀀫 ' + 10􀀫 % + 5􀀫 + 50 | | --- | --- | | 37. 5x2 + 14x + 8 | 38. 2x2 + 2x-24 | | 39. 30x2 + 2x-4 | 40. 9x2-6x + 1 | | 41. 5􀀫 % − 40􀀫 + 80 | 42. 3x2 + x-4 | | 43. 20􀀰 ' + 12􀀰 % + 25􀀰 + 15 | 44. 4􀀫 % + 14􀀫 + 6 | Skill \#5: Solving Quadratics Solve the following quadratics. Remember, start by factoring. If that does not work, try quadratic formula. Need a refresher? Helpful Link for solving by factoring: [https://www.youtube.com/watch?v=qeByhTF8WEw](https://www.youtube.com/watch?v=qeByhTF8WEw)[

FAQs

Is a calculator allowed for this Algebra 2 Extended summer packet?

No. The packet must be completed without a calculator.

When will students be graded on the summer packet?

The teacher checks the assignment on the first day of school for the beginning-of-class completion grade. A summative assessment based on these skills happens on the second day of math.

What topics are included in the skill practice sections?

The packet includes fractions operations, simplifying radicals (with rationalization when needed), graphing (using a table of values if stuck), complete factoring of polynomials, and solving quadratics using factoring first and quadratic formula if necessary.

Aug 29, 2026

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