Algebra II Preparation
Summer Assignment
Prepare to Succeed!!
Prepare to understand NEW Material!!
Prepare, Get Ready, Plan, Organize, Practice
This packet contains review topics (explanations and sample
problems) that are necessary for success in Algebra II.
Please complete the enclosed material. Please do the even
numbered problems (except where noted) and bring completed
packet to school on the first day PREPARED to turn in to your
Algebra II teacher.
Another resource for explanations to these topics and many
more can be found at www.math.com. Click on “Algebra”
under the “selected subjects” column to start the practice.
This will be graded as a homework grade based on completion
of the packet
See you in August!!!
Sincerely,
Algebra II Teachers
Severna Park High School
Algebra II Preparation
Summer Assignment
Selected Answers:
−5
11
1. 8 8.
9. ± 10
4
Algebra II Preparation
Summer Assignment
Selected Answers: 1. x= -2
6. p = 6
7. c = 2
Selected Answers: 3. m = 43
8. No Solution 10. k = 4
Algebra II Preparation
Summer Assignment
Selected Answers
Algebra II Preparation
Summer Assignment
Graph each equation:
Selected Answers:
Algebra II Preparation
Summer Assignment
Selected Answers: 1. 4
6. 0
9. -15/16
Algebra II Preparation
Summer Assignment
Selected Answers:
1. 1
5. -2/7
9. 0
10.
−2 − 8
=1
r −6
r − 6 = −10
r = −4
Algebra II Preparation
Summer Assignment
Selected
Answers:
1. y = 8x-3
8.
Algebra II Preparation
Summer Assignment
Selected Answers:
1. t ≥ −4
5. r < 6
9. k > −12
Algebra II Preparation
Summer Assignment
Please do this entire page
Systems of Equations
1. Mark owns a bike shop. To rent a bike, customers must pay an upfront fee of $3.
They then pay $6 per hour for each hour they use the bike. Write a rental equation to
determine the cost (C) of renting a bike for a given number of hours (h).
2. Label the axes below h on the x-axis (hours renting a bike) and C on the y-axis (cost
of renting a bike,$).
3. Graph the equation that you found in #1 on the axes above.
4. At Katie’s’ bike shop, customers pay an upfront fee of $12 and then pay $3 per hour
(h) for each hour they use the bike. Write a rental equation for the cost(C) of renting a
bike at Katie’s’ shop.
5. Graph the equation that you found in #4 on the axes above.
6. Where is it cheaper to rent a bike at Mark’s bike shop? Where is it cheaper to rent a
bike at Katie’s bike shop?
7. Janice rents a bike form Katie’s shop and her friend Delilah rents a mike from Mark’s
shop. Is it possible for Janice and Delilah to rent the bike for the same number of hours
and pay the same price? Explain.
8. Janice use the equation 3 + 6h = 12 + 3h to answer problem 7. Explain what Janice was
thinking?
Algebra II Preparation
Summer Assignment
Selected Answers:
1. -2a – 6
8. 9x2- 2x – 8
27. 2s3 - 100s2 + 1950s – 15,800
Algebra II Preparation
Summer Assignment
Selected Answers:
1. y6
5. m6
9. 4x 3 y 4
Algebra II Preparation
Summer Assignment
Selected Answers:
1. 53
5. y
11.
34 r 4 s8
24
Algebra II Preparation
Summer Assignment
Selected Answers:
9s3
w
9. 11
1. 25 5.
2
u
4y
Algebra II Preparation
Summer Assignment
Please do this entire page
Selected Answers:
1. 6
4.
1
s2
Selected Answers:
10. l5k3
8. x10
8. u2
Algebra II Preparation
Summer Assignment
Selected Answers:
1. (x-9)(x+9)
7. (15c - a)(15c + a)
12. 2(4y2-100) = 2(2y – 10)(2y + 10)
Please do all of the problems below
Factor each trinomial
1. t 2 + 3t − 10
5. 2k 3 − 8k
2. x 2 − 2 x − 8
6. 2m 2 − 24m + 72
3. x 2 + 6 x + 3
7. 7 y 2 + 14 y + 35
4. 5 y 2 + 30 y + 45
8. x 2 + 3x − 18