FAIR LAWN PUBLIC SCHOOLS
RONALD J. MEZZADRI
Fair Lawn High School
District Supervisor – Mathematics, Business & Career Education
14-00 Berdan Avenue
Fair Lawn, New Jersey 07410-8067
(201) 794-5450 x2211
Fax (201) 794-0712
Email: rmezzadri@fairlawnschools.org
June, 2014
Dear Parents,
Your child has completed 7th Grade Mathematics and will be entering Pre – Algebra
when school resumes in September. The foundation for their next step into mathematics
was carefully laid out in 7th Grade Mathematics and will be expanded upon in Pre –
Algebra.
In order for your child to have a successful transition into Pre – Algebra it is important
that every student review and practice the key concepts that were taught in 7th Grade
Mathematics. A packet has been provided to give your child the opportunity to
accomplish this task. The packet will be available on the school’s website.
The practice problems must be completed to the best of their ability prior to the first day
of the 2014-2015 school year. Time will be given to review solutions in class and then an
assessment will be given on the material. Mastery of the fundamental concepts outlined
in this packet is essential to your child’s success in Pre – Algebra.
Have a safe and happy summer. We look forward to a successful opening of the new
school year.
Sincerely,
Ron Mezzadri
Supervisor of Mathematics
“The Leaders of Tomorrow Attend Fair Lawn Schools Today”
6th Grade to 7th Grade
Pre - Algebra
Math Summer Packet
Summer Packet
The following review includes some of the key concepts that you learned in 7th grade math. To the best of your
ability this packet should be completed prior to the first day of the 2014 – 2015 school year. The concepts and
solutions will be reviewed in your 8th grade math class and then an assessment will be given on the material.
Directions for completing the packet:
Please use the space on the packet to answer each question. Be sure to show your work.
 Sections A - H (Complete without the use of a calculator.)
 Sections I – L (Calculator may be used, but work must be shown to support your final answer.)
A.
Simplify each expression.
1.
3  5
2.
2  (6)
3.
6  8
4.
2  ( 5)
5.
8  (10)
6.
3  3
7.
5  4
8.
8  4
9.
20  ( 5)
10.
27
3
B.
Use >, <, or = to make the statement true.
1.
| 3 | ______ | 10 |
2.
3 ______  4
3.
| 7 | ______ | 10 |
4.
7 ______ | 3 |
5.
| 3  1| ______ 2
6.
10 ______ | 8  3 |
C.
Solve each one step equation for x.
1.
x  8  5
2.
x 10  30
3.
2x  10
4.
x
 7
5
5.
10  x  6
6.
25 
x
4
D.
Solve and graph each inequality.
1.
x  4  10
2.
x 1  15
3.
3x  12
4.
x
 4
7
5.
3x  15
6.
x
2
5
E.
Simplify each expression. All answers should be in lowest terms.
1.
3 3

8 5
2.
3
1
2 4
4
8
3.
5 3
4 1
8 4
4.
1 3

2 5
5.
2 1

3 4
6.
1
1
6 2
2
4
F.
Simplify each expression using the order of operations.
1.
4  52  3  5
2.
15  (4  2)  3  4
3.
4  (2  5)
86
4.
5  2  (3  5)
G.
Properties of Numbers
Identify the property shown from the following choices:
commutative property of addition
associative property of addition
distributive property
commutative property of multiplication
associative property of multiplication
1.
x y  yx
2.
x( y  z )  xy  xz
3.
3 x  x  3
4.
a  (b  c)  (a  b)  c
5.
2( x  3)  2 x  2(3)
6.
(a  b)  c  a  (b  c)
H.
Estimate each of the following using Percents:
1.
Estimate 76% of 200.
2.
Estimate 53% of 59.
3.
Estimate 61% of $121.85.
4.
Estimate 15% of $61.95.
5.
Estimate 22% of 700.
6.
Estimate 9% of 18.
7.
Estimate 68% of 202.
8.
Estimate 15% of $279.65.
I.
Use the Percent Proportion to solve each of the following:
1.
What is 26.5% of 264?
2.
200 is 125% of what number?
3.
17.5 is what percent of 140?
4.
1.8 is 30% of what number?
5.
125% of what number is 66?
6.
20 is what percent of 160?
7.
What is 31.2 % of 82?
8.
Find .025% of 120.
J.
Find the Percent of Change for each of the following:
1.
$125 coat marked down to $95
2.
$42.50 sweater marked-up to $82.50
3.
A flat screen TV that normally sells for
$850 is on sale for $565.
4.
Regular price: $17.95
Sale price: $29.95
5.
$55 item marked-up to $90
6.
A $240 phone marked-down to $180
K.
Find the Marked-Up or the Discount Price for each of the following:
1.
Store cost: $26
Percent of mark-up: 50%
2.
Regular Price: $16.99
Percent of discount: 55%
3.
Original Price: $554.99
Discount: 48%
4.
Cost of oil change: $18.00
% of mark-up: 70%
5.
Store cost: $29.50
Percent of mark-up: 35%
6.
Regular Price: $198.36
Discount: 75%
7.
A shoe store marks up its merchandise by
18%. What is the marked-up price of a pair
of shoes whose wholesale price is $24.50?
8.
Mr. T bought a new computer system.
The regular price was $2,280, but he
received a 15% discount. How much
did he pay?
L.
Find the Simple Interest and the Final Balance for each of the following: (Use the formula I=prt)
1.
$900 at 3% simple interest for 2 years
2.
$500 at 5% simple interest for 6 years
3.
$1,200 at 6.5% simple interest for 4 years
4.
$198 at 5 ½ % simple interest for 3 years
5.
$1,000 at 4% simple interest for 2 ½ years
6.
Mr. Mazzo is lending his daughter $2,500
for a car. He is charging her 3% simple
interest each year. She will pay him back in
three years. What will be her final balance?