NAME: ___________________________
PERIOD: _______
HAGERTY HIGH SCHOOL MATHEMATICS DEPARTMENT
ALGEBRA 2 HONORS SUMMER ASSIGNMENT
2017
Academic Integrity: Academic dishonesty of any sort will not be tolerated and will be punished by an automatic zero on
the assignment and a referral to an administrator. This includes cheating on assessments, acquiring information from
other students about questions on assessments, copying homework, copying teacher’s solutions, use of cell phones for any
reason during tests/quizzes, use of cell phones to obtain photos of someone’s assignment or assessments, or missing
assessments in order to ask classmates for questions prior to make-up. Be advised that working in a group does not give
you permission to submit work that duplicates your partner’s work. When you submit an assignment, it is expected that it
is the work of your own thinking and your own knowledge. Therefore, you should avoid searching the internet for
homework/quiz answers unless otherwise instructed to do so.
ALGEBRA 2 HONORS SUMMER ASSIGNMENT INFORMATION
Welcome to Algebra 2 honors! This summer review assignment is designed to refresh your Algebra 1 skills. It
includes information that was taught in Honors Algebra 1 and will be used daily in Algebra 2. No calculators
should be used to complete this assignment.
Assignment Requirements: You Must show all work. All work must be shown in a neat and organized manner.
Please write your answers on the answer sheet that has been provided in this packet. All answers must be in
simplest exact form.
Due Date: This packet must be completed by the first day of school. Points will be deducted for each day that
this packet is late.
Grading: This assignment will be collected and graded based upon completion and correctness. It will count as
your first grade for quarter 1.
About Algebra 2 Honors: Algebra 2 Honors is a standards based year-long course and is comprised of a
rigorous, in-depth study of all the Algebra 2 topics including but not limited to: polynomial, radical, piecewise
and trigonometric functions, binomial expansion theorem, discontinuities, asymptotic behavior in rational
graphs, non-linear systems of equations, solving quadratic and polynomial equations over the set of complex
numbers, solving exponential equations using the properties of logarithms, solving rational equations, partial
sums of arithmetic and geometric series, probability and statistics..
Helpful websites: http://www.coolmath.com/algebra/Algebra2/
http://www.webmath.com/
http://www.khanacademy.org/
http://www.math.com/
Order of Operations. Simplify:
1.
3.
52 + 3[2 − 3(8 ÷ 2 ∙ (−4))] ÷ 2
1
4
1 4
+2∙5
2.
4.
−42 +5−4
3∙4−3(−1)
|4 − 7|
5.
Evaluating expressions. Use the values given:
6. 𝑥 + (𝑧 2 )2 ; use 𝑥 = 6 and 𝑧 = −1
7. 𝑦(𝑧 + 𝑦) + 𝑥 ; use 𝑥 = 2, 𝑦 = −4, and 𝑧 = 1
Linear Equations. Solve for x. State any restrictions:
8.
4𝑥 − 3 = −7𝑥
10. 3(𝑥 − 2) − 1 = −2(4 − 6𝑥) + 3
9.
11.
8−
2𝑥
5
10(𝑥−2)
5
= 10
= 14
|−2| − |−3|
12.
7𝑥+4
3
= 2𝑥 − 1
13.
𝑥
2
𝑥
−1=5
14. 𝑎𝑥 + 1 = 𝑏𝑥
15. −2|𝑥 + 3| + 4 = 2
Polynomials. Perform the operations:
16. (7𝑥 2 + 4𝑥 − 3) − (−5𝑥 2 − 3𝑥 + 2)
17. (5𝑥 2 − 4) − 2(3𝑥 2 + 8𝑥 + 4)
18. (7𝑥 − 3)(3𝑥 + 7)
19. (4𝑥 − 3)2
20. (4𝑥 − 3)(4𝑥 + 3)
Factoring. Factor completely:
21. 𝑥 2 − 5𝑥 − 6
22. 3𝑥 2 − 12𝑥 − 36
23. 3𝑥 2 − 12
24. 6𝑥 2 − 13𝑥 − 5
25. 3𝑥 3 − 5𝑥 2 − 2𝑥
26. 8𝑥 2 − 6𝑥 − 9
Linear Functions. Graph:
2
27. 𝑦 = − 3 𝑥 − 4
28. 5𝑦 − 3𝑥 = −15
29. 𝑥 = −5
30. 5 = 𝑦
Linear Functions. Find the x- and y-intercepts. Remember that x- and y-intercepts are points:
31. 2𝑥 − 3𝑦 = 5
33.
1
3
4
𝑦 − 7 𝑥 = −2
32. 6𝑥 = −22
34. 𝑦 = 0
Writing Linear Equations. Write the equation of a linear function in:
a.
point-slope form, 𝒚 − 𝒚𝟏 = 𝒎(𝒙 − 𝒙𝟏 ), where 𝒎 =
b.
slope-intercept form 𝒚 = 𝒎𝒙 + 𝒃:
𝒚𝟐 −𝒚𝟏
𝒙𝟐 −𝒙𝟏
35. A line passing through points𝐴(1, −2) and 𝐵(4, −3)
36. A line with x-intercept (−4,0) and y-intercept (0,7)
37. A line passing through point 𝐴(3, −7) and is parallel to the line described by 3𝑦 = −7𝑥 + 2
38. A line that passing through point 𝐴(5, 8) and is perpendicular to the line passing through points 𝐵(−8, 7)
and 𝐶(−2, −1)
39. Passes through point 𝐴(3, −7) and has an undefined slope
Systems of Equations.
Set up a system of equations, then solve:
40. The senior classes of High school A and High school B planned separate trips to the indoor climbing gym.
The senior class of High school A rented and filled 2 vans and 3 busses with 105 students. High school B
rented and filled 14 vans and 6 buses with 270 students. Each van and each bus carried the same number of
students. How many students can a van carry? How many students can a bus carry?
Solve the system using linear combinations (elimination method):
−2𝑥 + 𝑦 = 1
41. {
6𝑥 − 2𝑦 = −16
Solve the system using substitution:
𝑥 − 8 = 3𝑦
1
42. {
𝑦−9= 𝑥
3
Properties of Exponents. Simplify:
43. −2𝑥 3 ∙
𝑥4
8
45. (2𝑥 3 )3
47.
2𝑥 −2 𝑦
14𝑥 10 𝑦 −5
44.
3𝑥 3
9𝑥 8
46. −3𝑥 0
Radicals. Simplify:
48. √27 ∙ √9
50.
√60
√15
49. 2√45 − 3√5
2
51. −2√5
NAME: ________________________________________________
PERIOD: _________
ANSWERS
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