Mr. Neil Rinaldi
Principal
Mr. Dan Uriano
Assistant Principal
Ellington High School
37 MAPLE STREET
ELLINGTON, CT 06029
(860) 896-2352 Fax (860) 896-2366
Mr. Peter Corbett
Lead Teacher
Mrs. Suzanne Markowski
Guidance Director
Mr. Tim McCluskey
Athletic Director
“Where Children Come First”
Summer Review For Students Entering
Advanced Algebra with Trigonometry
We believe in creating a challenging academic environment. All students should gain the skills and
knowledge to prepare them for a lifetime of learning in a rapidly changing global community. We expect all
members of our learning community to demonstrate responsibility, integrity, respect, cultural understanding,
and ethical behavior.
It has been discovered that students regress in skills over the summer months. To help you succeed next
fall- and perhaps to help you learn some lessons that you did not master the first time through – we have
prepared the following set of math exercises to be completed over the summer. Your high school mathematics
courses are cumulative. This means that you will need to utilize concepts previously learned to be successful.
The reason for this review is to reacquaint you with necessary skills to be successful in next year’s math course.
It is clear that most students do not want to spend their entire summer doing math work. Based on how
fast or slow you work, you may find that you only need to do math a few days each week. Working on this set of
math exercises will be most effective if you do work throughout the summer, so try not to skip weeks.
This assignment will be due the first day of school. This assignment will also serve as a basis of preparing
for a review assessment which will be given during the first week of school. If you do not perform as expected,
you will need to stay after school to continue your review of these topics.
Should you misplace this set of math exercises, you will be able to print another copy off the EHS website.
Simplify by performing the indicated operations. You must show all work. Do not use a calculator.
1.
2.
Evaluate each expression.
3. 4x – y
for x = -7, y = -9
4.
3|a – b|
for a = 4, b = 7
for x = 4
6.
6c – 3|d|
for c = 4, d = -4
5. 9x - |x|
Multiply and simplify.
7. 115 · 113
8.
7-5 · 73
9.
y4 · y-7 · y4
10. (4b4c-3)(-3b-3c-4)
11.
(5xy6)(5x4y-1)
12.
(x4y-4)(x3y2)
Divide and simplify.
13.
14.
15.
16.
Simplify.
17.
18.
19.
20.
21.
22.
23.
Factor.
24.
x2 + 3x – 10
25.
x3 + 8x2 + 15x
26.
x2 – 11x + 24
27.
x2 – 10x – 24
28.
18x2 + 39x + 20
29.
9x2 – 6xy + y2
Solve.
30.
5x – 13 = 3(x – 5)
31.
y2 = 225
32.
x2 – x = 12
33.
x2 + 20x = 0
34.
-14x + 3x2 = 24
35.
2(4x + 5) – 3(x – 4) = -13
36.
2x(x – 3) = 5(3 – x)
37.
m(m – 6)(2m + 3) = 0
Solve each formula for the given letter.
38.
39.
40.
41.
Simplify.
42.
43.
44.
45.
46.
47.
48.
49.
50.
Write the radical expressions with rational exponents.
51.
52.
53.
55.
56.
Rationalize the denominator.
54.
Add or subtract.
57.
-3i + (5 + 4i)
58.
(3 – 4i) + (7 + 6i)
59.
(2 + 5i) – (9 – 4i)
Multiply.
60.
61.
62.
2i ·3i
63.
(5i)2
64.
(3 – 4i)(5 + 6i)
65.
(8 – i)(8 + i)
66.
(3 + 4b)2
67.
(2x + 7y)(5x – 4y)
68.
(2 – 3w)(2 + 3w)
Simplify.
69.
70.
71.