Directions: Answer each of the following problems showing all
workAlgebra 1 Summer Assignment 2014 DUE YOUR FIRST MATH CLASS OF
THE SCHOOL YEAR
Name:_________________________________ As an incoming Algebra 1
student, it is important that you are proficient in several skills
from previous math courses. This assignment contains examples of
the skills you are expected to know as you enter your Algebra class
this September. If you need assistance or further practice with any
of these skills, we strongly recommend that you visit the free
websites below: http://www.khanacademy.org/ The Khan Academy
website offers a list of videos that explain how to solve various
types of math problems. On the main page, scroll down to “Browse
the Library”. Then select ”Core Pre-Algebra” for help with
fractions, order of operations, operations with
negatives/positives, and other topics or select “Core Algebra” for
help with solving equations and other topics. www.intmath.com This
interactive math link offers help with ordering numbers, operations
with real numbers, or order of operations. On the main page, click
on Numbers located next to Algebra. Select Integers (for ordering
and operations) or Order of Operations www.math.com This website
offers help with evaluating expressions, combining like terms,
writing equations, solving equations, or graphs. On the main page,
click on Algebra, which is located on the left hand side of the
page. Select the topic you wish to explore.
http://www.yourchildlearns.com/us_map.htm This website gives an
interactive map of the United States. THERE ARE THREE COMPONENTS TO
THIS SUMMER ASSIGNMENT:
1. Map Your Mathematical Road Trip Answer the questions on pages
2-5 of this packet to find the coordinates of your
position as you travel from New Jersey around the country, and back
again to New Jersey. Remember to show all of your work!!! Plot the
coordinates on your map of the United States.
2. Track your Journey Look at the map to visually identify
different rates of change. Find the rate of change for the
different trips specified.
3. Make a brochure documenting your Mathematical Road Trip. Your
brochure should include:
A list, in order, of the states in which you plotted points on the
map. The capital of each state you visited. One other fact of
interest about each state you visited. For example, you can give
the state bird,
a popular tourist attraction in the state, etc. Some decorative
illustrations. Be creative and have fun!
2
I. Map Your Mathematical Road Trip! Directions: Solve each of the
following problems. Remember to show all of your work. The
solutions will give you the x and y-coordinates of the points you
will plot on your map, in order, as you travel from New Jersey,
around the country, and back. NOTE: You do not retrace your path to
return home. Bon Voyage: Start your trip from New Jersey!
Solving Equations: Solve each equation to reveal the x and y for
each location. Show all of your work.
State #1) NEW JERSEY
−
State #2) x-coordinate: 9 21x + = y-coordinate: 2 4 8y − =
Plot the point ( , ) on your map!
State #3) x-coordinate: 5 3 17x − = y-coordinate: 2 11 3y− +
=
Plot the point ( , ) on your map!
Algebra 1 Summer Assignment 2014
3
BE SURE TO PLOT AND CONNECT YOUR POINTS IN ORDER! Solving
Equations: Solve each equation to reveal the x and y for each
location. Show all of your work.
State #4) x-coordinate: 3(2 4) 0x + = y-coordinate: 2(4 2 ) 16y− −
=
Plot the point ( , ) on your map! State #5) x-coordinate: 5(2 10)
30x + = − y-coordinate: 2(9 ) 8y− − = −
Plot the point ( , ) on your map!
State #6)
x + = − y-coordinate: 2 (6 9) 10 3
y + =
BE SURE TO PLOT AND CONNECT YOUR POINTS IN ORDER!
Algebra 1 Summer Assignment 2014
4
Solving Equations: Solve each equation to reveal the x and y for
each location. Show all of your work.
State #7) x-coordinate: 5 4 3 8x x− = − y-coordinate: 4 1 15 3y y−
+ = +
Plot the point ( , ) on your map! State #8)
x-coordinate: 2 2 6 5 x x + = y-coordinate:
4 5 10 y − =
Plot the point ( , ) on your map! BE SURE TO PLOT AND CONNECT YOUR
POINTS IN ORDER!
Algebra 1 Summer Assignment 2014
5
Solving Equations: Solve each equation to reveal the x and y for
each location. Show all of your work.
State #9)
x − = − y-coordinate: 1 133 4 4
y− + =
Plot the point ( , ) on your map!
RETURNING HOME TO NEW JERSEY!!! State #10) x-coordinate: 3 2 14 3x
x− + + = y-coordinate: 4 6 2 10y y+ − = Plot the point ( , ) on
your map!
Algebra 1 Summer Assignment 2014
6
BE SURE TO PLOT AND CONNECT YOUR POINTS IN ORDER! II. Track Your
Journey!
Based on your work from last year, remember that the rate of change
between two points is:
2 1
2 1
− = =
−
1. Trace your journey (connect the dots with straight lines) from
State #1 New Jersey around the country and back to New
Jersey.
Looking at your map:
a. Circle all line segments that represent positive rates of
change. Explain how you can spot positive rates of change by
looking at a graph. State #1 to State #2 State #2 to State #3 State
#7 to State #8 State #3 to State #4 State #6 to State #7 State # 8
to State #9 b. Circle all line segments that represent negative
rates of change. Explain how you can spot negative rates of change
by looking at a graph. State #1 to State #2 State #2 to State #3
State #7 to State #8 State #3 to State #4 State #6 to State #7
State # 8 to State #9 c. Circle all line segments that represent a
zero rate of change. Explain how you can spot a zero rate of change
by looking at a graph. State #1 to State #2 State #2 to State #3
State #7 to State #8 State #3 to State #4
Algebra 1 Summer Assignment 2014
7
State #6 to State #7 State # 8 to State #9 2. Find the rate of
change between each destination pair on your journey, listed below.
Show your work. a. State #1 New Jersey to State #2 b. State #2 to
State #3 c. State #5 to State #6 d. State #7 to State #8 e. State
#8 to State #9
Algebra 1 Summer Assignment 2014
8
III. Make a Brochure 1. Now MAKE A BROCHURE of the states in which
you plotted points. Your brochure should include:
a. A list, in order, of the states you plotted points in on the Map
Your Mathematical Road Trip project.
b. The capitol of each state you visited. c. One other fact of
interest about each state you visited. For example, you can give
the
state bird, a popular tourist attraction in the state, etc. d. Some
decorations or illustrations. Be creative and have fun!
Brochure must be a tri-fold (see examples) made from a sheet of
paper no smaller than a 8 ½
“by 11”and no bigger than a 22” by 28” poster board.
Here are examples of how you can fold your brochure: Barrel Fold
Brochure: Z-Fold Brochure: I, ___________________________, have
tried to the best of my ability to understand and complete the
problems in this Algebra Summer Assignment.
___________________________ ______________________________ Student
Signature Parent Signature
Algebra 1 Summer Assignment 2014
9
Algebra 1 Summer Assignment Scoring Rubric
DUE YOUR FIRST MATH CLASS OF THE SCHOOL YEAR The Algebra 1 Summer
Assignment will be scored as follows:
Components Percentage I. Map Your Mathematical Road Trip (50%) 40%
For completed problems (2% per x or y-value)
10% completed map II. Track Your Journey (25%)
10% #1. Looking at the graph 15% # 2. Finding rates of change(3%
each)
III. The Brochure (20%)
5% A list, in order, of the states plotted on the map 5% The
capital of each state visited 5% One other fact of interest about
each state 5% Creativity, decorations, illustrations
IV. Parent Signature (5%) 5% Total: 100% Students will receive the
following credit for each problem in section I “Map Your
Mathematical Road Trip”
2 1 0
work is shown.
Question incorrect but
Question is not answered or no work is shown
where specified.
Algebra 1Summer Project Map
