Dear Student,
Please find attached your summer review packet for Academic Algebra 2. The problems in
this packet are taken from Algebra 1 and Geometry and they should be familiar to you.
However, if you need review, you can use the attached websites for additional information.
Internet access is available at all public libraries.
The packet is due the first
day of class and will be graded. To receive full credit, you will
need to show all work. This assignment will count toward your first
quarter grade and your
first quiz of the year will be on this material. Don't wait until the last minute!! A good
overall resource for math help is: www.purplemath.com
If you have any questions please do not hesitate to contact the High School at: 860-8443014 or you can email Mrs. Bastiaanse at: bastiaansem@granby.k12.ct.us
checked every few days during the month of August.
We are looking forward to seeing you on the first
Email will be
day of school!
- The Math Team at GMHS
Below is a list of topics covered in the packet with formulas and helpful websites:
Order of Operations
http://www.mathgoodies.com/lessons/voI7/orderoperations.html
The Distributive Property
http://www.purplemath.com/modules/numbprop.htm
http://www.freemathhelp.com/distributive-property.html
Evaluating Algebraic Expressions
http://regentsprep.org/Regents/math/
orderop/ eva IPrac.htm
Solving One-Step Equations and Two-Step Equations
http://www.purplemath.com/modules/solvelin.htm
http://regentsprep.org/Regents/math/solveg/LSolvEg.htm
Absolute Value
http://regentsprep.org/Regents/math/absvalue/Labsolute.htm
http://www.purplemath.com/modules/solveabs.htm
Solving Literal Equations
http://www.purplemath.com/modules/solvelit.htm
http://regentsprep.org/Regents/math/formulas/litless.htm
.
Y2 - y,
Slope of a Line: m = -'---"----'--'x2
-XI
http://www.themathpage.com/alg/slope-of-a-Iine.htm
http://www.purplemath.com/modules/slope.htm
Writing Linear Equations.
http://www.purplemath.com/modules/strtlneg.htm
http://hotmath.com/hotmathhelp/algebrallstandard
http://www.glencoe.com/sec/math/algebra/algebrallalgebral
41.pdf
form.html
05/study
guide/pdfs/algl
Parallel and Perpendicular lines
http://regentsprep.org/Regents/math/parallel/Lparallel.htm
Inequalities - Simple, Compound, Absolute Value
http://www.purplemath.com/modules/ineggrph.htm
http://www.math.com/school/subject2/lessons/S2U3L4GL.html
http://regentsprep.org/Regents/math/
solvin/LSo IvIn.htm
http://www.glencoe.com/sec/math/algebra/algebrallalgebral
http://www.purplemath.com/modules/ineglin.htm
http://regentsprep.org/Regents/mathb17
d7 /Linegual.htm
http://www.purplemath.com/modules/absineg.htm
http://regentsprep.org/Regents/mathb17D8/absinegual.htm
01lpdf/0704.pdf
Solving Systems of Linear Equations.
http://www.purplemath.com/modules/systlin1.htm
http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=syslin
Exponents:
http://www.math.com/school/subjectlllessons/SlUlL8GL.html
http://www.purplemath.com/modules/exponent2.htm
http://regentsprep.org/Regents/math/
exp/LExp.htm
http://regentsprep.org/Regents/mathb/4BlIposnegzles.HTM
Polynomials - Vocabulary, Add/Subtract/Multiply
http://www.purplemath.com/modules/polydefs.htm
http://regentsprep.org/Regents/math/math-topic.cfm?TopicCode=polyadd
http://regentsprep.org/Regents/math/polymult
/ Smul bin.htm
http://regentsprep.org/Regents/math/po
IymuIt/ Strinom.htm
Factoring:
http://www.algebrahelp.com/lessons/eguations/solvebyfactoring/
http://www.mathwarehouse.com/guadratic/solve-guadratic-eguation-by-factoring.php
Graphing Linear Equations.
http://hotmath.com/hotmathhelp/algebral/graphing
http://regentsprep.org/Regents/math/glines/EgLines.htm
Midpoint of a line segment.
linear eguations.html
+2'x2 YI +2 Y2 )
XI
(
http://regentsprep.org/Regents/math/midpoint
= ~(X2
/Lmidpoint .htm
- XI)2 + (Y2 _ YI)2
http://regentsprep.org/Regents/math/distance/Ldistance.htm
Distance between
two points.
d
pssg GO
Academic Algebra II
Summer Review Packet
Name
_
This packet is due on the first day of school to your math teacher.
Date
Please show all work.
1
Everying two minutes, Nicholas tracked a large whale using sonar direction
and ranging. Over a 12 minute period, his distance readings (in miles) were
11.6, 12.2, 11.9, 12.3, 12.5, and 12.1. Determine the mean distance of the
whale during this time period.
1.
2.
If Ann's quiz grades in history are 75, 82, 78, 95. 79, 71, and 80, what is the
median of her grades?
2.
3.
A.J. kept a record of his scores from playing his favorite video game. What is
the range of his scores?
3.
Video Games
Scores
Day
Score
1
900
2
1,269
3
1,354
4
550
5
10.253
6
10,671
7
12,045
8
15,210
9
20,259
4.
Meg's quiz grades in history are 75, 82, 78, 95, 78, 83, and 78. What is the
mode of the grades?
5.
16+16-----
3
7_
4.
5.
_
Page 2
6.
6.
7.
S·Imp lify:
I . 4"3
8.
Last year a jar of peanut butter cost $2.69 and today it costs $3.18. How
much has the peanut butter gone up in price?
8.
9.
~ x 2~ =
9.
10
Simplify: 3~. 1~
11.
Simplify: ~ -:-
12.
Simplify: ~ -:-3
12.
13.
What is the correct way to express 64% as a fraction?
13.
a) ~
+ '27
7.
_
10.
i
11.
b) 11
20
c)
1
d)
i
16
e ) 25
14.
2
What is the correct way to express "5as
a decimal?
14.
15.
What is the correct way to express 0.65 as a fraction?
15.
a) ~
b) 1l.
20
c) ~
d) !.?
20
e)
65
TO
Page 3
16.
What is the correct way to express 0.649 as a percent?
16.
17.
For every ticket purchased in a raffle, 35¢ goes to charity. How much money
is raised for charity if 84 tickets are sold?
17.
18.
What are the coordinates
of point J?
K
18.
F
E
A
J
H
M
J
G
C
B
D
L
19.
Jerome bought 3 pairs of pants and 5 shirts.
he make with these new purchases?
How many different outfits can
19.
20.
A car can travel 420 miles on a full tank of gas. If the gas tank has a capacity
of 12 gallons. how many miles can the car travel on one gallon of gas?
20.
21.
Solve for k:
25
k
75
6
21.
Page 4
Solve.
+ 31 =
22.
c
92
22.
23.
a-51
= 92
23.
24.
12b = 48
24.
25.
~b
=5
25.
26.
4x
+ 6 = 14
26.
27.
~
+ 9 = 14
27.
28.
3(t-8)=6
29.
Evaluate
28.
2t - (13
+ 6t)
for t
=
-6.
29.
Page 5
30.
Solve: - Q5a -- 8
3l.
Solve: 5(6 - 3x)
30.
=
-15(x
- 2)
3l.
Solve.
+3=
7z - 2
32.
+ 10
33.
32.
4z
33.
9t - 5
34.
4y - 14
~
3o.
6a+2(4a+
36.
-11k
37.
One of the clerks at Mr. Video decided to tally the
he rented one evening. He counted 12 horror films,
25 adventure films, and 16 mystery/crime
films. If
films at random, what is the probability that it was
38.
Solve for w in the equation
=
6t
+ 18y
+ 16k
- 5 - lOy
=
29
34.
1) =-5
35.
= 85
36.
V = Eush,
number and type of films
27 romantic comedies,
he selects one of those
a horror film?
37.
38.
Page 6
39.
In the equation 5 = 27rTh, solve for
40.
What is the slope of the line?
39.
1'.
40.
y
(3,2)
a:
Find the slope and y-intercept
for each line.
+4
41
Y = ~x
42.
Find the slope of the line that passes through
43.
Of the following coordinates,
a) (4, -3)
41.
the points (2,4) and (3, -2).
which is a point on the graph of x
c) (-5,6)
b) (4,4)
d) (-2,3)
+ 3y =
13?
43.
e) (3,2)
44.
The price of a new cruise line is determined by the formula p(d) = 125d + 200,
where p is the price of the cruise in US dollars and d is the number of days
the person is on board. If you graphed this function, what would be the
meaning of the 200'1
45.
Solve the inequality
46.
Find the expression equivalent
47.
Simplify: 5k2.
48.
Simplify the expression
-4x > -8.
42.
44.
45.
to y2 . (_y5)
3k4
.Y
46.
47.
_4p3
. (~p4).
48.
Page 7
49.
Find the expression equivalent to (rn3)2.
50.
Simplify the expression (x2
51.
Simplify the expression 4y2(2y
52.
Hint:
Distribute
using FOIL (b
53.
Hint:
disctribute
using FOIL Simplify:
54.
Factor 6a - 9 completely.
Graph.
55.
y = 5x - 7
-
49.
5x - 11) - (7x2
-
3x - 2).
+ 1).
50.
51.
+ 20)(b + 1)
(1' - 4)(1'
52.
+ 6)
53.
54.
Page 8
56.
y =
-:r
+2
Solve by graphing.
57.
y
y
=
=
2x - 4
-3x
+6
57.