Name______________________

Algebra 1 Teacher___________

Geometry Teacher___________

Junior year is right around the corner… and so is Algebra 2! Many of the concepts you

learned in Algebra I and Geometry will be reinforced during Algebra 2 CP. Please take some

time this summer and work through this review packet. Refreshing your memory of the

concepts will help you hit the ground running in Algebra 2 in the fall. Even though no one

likes to do “homework” over summer vacation, putting in a little time up front will definitely

help pay off next year. This packet is designed to only take about two hours to complete. It

will be collected next fall by your Algebra 2 teacher ON THE FIRST DAY OF SCHOOL AND

COUNT TOWARDS YOUR FIRST QUARTER GRADE. Have a great summer!!

There are plenty of resources you can use in order to be successful with this packet:

Use your Algebra 1 and Geometry Notes

Use the online textbook (you can find directions and login codes on Ms. Kurtz’s website)

Struggling with how to log in? Email her at Lisa.Kurtz@gpschools.org

(NOT THE NIGHT BEFORE THE PACKET IS DUE!)

Use Google or YouTube – they’re not terrible resources!

The WORST thing you could do is come in on day 1 with a blank packet or say “I didn’t know how to do this part” – read the directions and try!

Algebra 2 CP Summer Packet

Find each of the pieces of missing information. Then graph the Quadratic Equation accordingly.

1. 2. a = b = c = a = b = c = Axis of Symmetry:_________________ Axis of Symmetry:_________________

Vertex:__________________________ Vertex:__________________________ Parabola Open Up or Down?________ Parabola Open Up or Down?________ Max or Min and Value______________ Max or Min and Value______________ y-Intercept_______________________ y-Intercept_______________________ Roots/Zeros______________________ Roots/Zeros______________________ Without using a graphing calculator, tell how the new graph compares with parent graph of

. Not sure, try googling transformations to quadratic equations or something like that!

3. 132 xy _______________________________________________________________

4. 225 xy ______________________________________________________________

5. 32 xy ______________________________________________________________

6. 225.0 xy ______________________________________________________________

7. 2372 xy ____________________________________________________________

Formulas for Graphing Quadratics These will need to be memorized for your first quiz!

Axis of Symmetry: 𝑥 −𝑏

𝑎 y-intercept: (0, c)

How to find the Vertex: Plug in your axis of symmetry to the original equation and solve for y

x y

x y

Solve by factoring. You must SHOW ALL WORK. Put the roots in the answer space at the right. Remember, the first step of factoring is taking out the GCF! If there are two terms left, check for a Difference of Perfect Squares. If there are three, try the Box Method!

8. 0762 aa 9. 0234 xx 8. ______________

9. ______________

10. 042 2 aa 11. 0432 kk 10. _____________ 11. _____________

12. 0672 nn 13. 1636 2 f 12. _____________

13. _____________

14. 032 2 mm 15. 036122 yy 14. _____________

15. _____________ Solve using the Square Root Property. (Square Root both sides, don’t forget the ±)

16. 1672x 17. 2512

2x 16. _____________

17. _____________

18. 2912x 19. 94

2x 18. _____________

19. _____________

Find the value of “c” that makes each expression a Perfect Square Trinomial. (

)

20. cxx 122 21. cxx 22 22. cxx 62 20. _____________ 21. _____________ 22. _____________ Solve by COMPLETING THE SQUARE. You may not use any other method. If you forget how, use Google or YouTube!

23. 0782 xx 24. 562 pp 23. _____________

24. _____________

25. 013122 xx 26. 032162 2 rr 25. _____________ 26. _____________

Solve by using the Quadratic Formula. You may not use any other method. If you forget how, use Google or YouTube, or sing the SONG!

27. 28. a =___ b= ___ c =___ a =___ b= ___ c =___ 27. _____________ 28. _____________

29. 30. a =___ b= ___ c =___ a =___ b= ___ c =___ 29. _____________ 30. _____________ Story Problems! Define your variables, write a quadratic equation and then factor it to solve. They aren’t that bad – you can do this! 31. If Mandy adds five times her age to the square of her age, the result is 36. What is Mandy’s age? 31. _____________ 32. If four times a number is added to the square of a number, the result is 5. Find the number(s). 32. _____________

Summer Packet Answers 1. Aos: x = -1 Vertex: (-1, 1) Up Min @ 1 y-intercept: (0, 2) Roots: None 2. AoS: x = 2 Vertex: (2, -1) Up Min @-1 y-intercept: (0, 3) Zeros: 1 & 3 3. Right 3, Down 1 4. Vertical Stretch, Left 2 5. Reflection, Up 3 6. Reflection, Vertical Shrink 7. Reflection, Vertical Stretch, Left 3, Down 2 8. a = -3, -7 9. x = 0, 2/3 10. a = 0, -2 11. k = -4, 1 12. n = 6, 1 13. f = 2/3, -2/3 14. m = -3/2, 1 15. y = 6 16. x = -3, -11 17. x = 17, 7

18. x = √ 19. x = -1, -7 20. c = 36 21. c = 1 22. c = 9 23. x = 7, 1 24. p = -1, -5 25. x = 1, -13 26. r = 4 27. x = -1, -7 28. x = 3, -1/3 29. x = 7, -7 30. x = -1/4, -3/2 31. 4 years 32. x = -5, 1 Summer Packet Answers 1. Aos: x = -1 Vertex: (-1, 1) Up Min @ 1 y-intercept: (0, 2) Roots: None 2. AoS: x = 2 Vertex: (2, -1) Up Min @-1 y-intercept: (0, 3) Zeros: 1 & 3 3. Right 3, Down 1 4. Vertical Stretch, Left 2 5. Reflection, Up 3 6. Reflection, Vertical Shrink 7. Reflection, Vertical Stretch, Left 3, Down 2 8. a = -3, -7 9. x = 0, 2/3 10. a = 0, -2 11. k = -4, 1 12. n = 6, 1 13. f = 2/3, -2/3 14. m = -3/2, 1 15. y = 6 16. x = -3, -11 17. x = 17, 7

18. x = √ 19. x = -1, -7 20. c = 36 21. c = 1 22. c = 9 23. x = 7, 1 24. p = -1, -5 25. x = 1, -13 26. r = 4 27. x = -1, -7 28. x = 3, -1/3 29. x = 7, -7 30. x = -1/4, -3/2 31. 4 years 32. x = -5, 1