Part 2 - Spring Semester Exam Review
]. An economics teacher plotted the value of a stock on 11 different days during a 500day period and used line segments to connect them. tn the graph below, the
horizontal axis is measuredin days and the vertical axis is measured in dollars.
STOCK %tLUES
801
70!
60
J
50
40
....
30
20
IO
o
50 loo ÿ5o 2ÿo 250 300 350400 ,,50 500 550
l)n)ÿ
Based on the graph, which of the following best describes the range of the value of
the stock for this 500-day period?
a. 0_< x_<500
ÿ!0_< y-<60
b. 1-< x_<500
,
& 0_< x_<80
Which graph shows the solution to the inequality shown below?
' ÿ
-, i ÿ t t , i i I ,ÿ , , ,
Iÿ"
ÿ,-"
-2-1 0 ÿ 2 3 4 5 6 7 8 9 t01t 1:2
b.
<I' ÿ I t,
'ÿ':ÿ.-
ÿ.,
@r-) ÿ
, 1 1 I t ÿ-q-4ÿ%ÿ-ÿ-
/ÿ
Gb
......
tÿ] ÿ-zÿ,..
-2-1 o I 2 3 4 5 6 7 8 9 toltÿ2
C.
t-,!"ÿ
J
ÿ
ÿ-"
........
....
ÿ)
">
....
I
4ÿ.Aÿ _.I_._L L. J. l l i I ÿ ÿ L ,J,,ÿ,,I,ÿ
} l
1 ]r I
I
!
I |
|
ÿ
I
!
-2-1 0 I 2 3 4 5 6 7 8 9 10tl 12
-2-1 0 1 2 3 4 5 6 7 8 9 1011 12
.
Joseph bought 3 medium and 2 large submarine sandwiches for a total of $29.95. Elias
bought 4 medium and ] large submarine sandwich for a total of $28.45. Find the cost of each
t
t
size sandwich.
Ooÿ-'ÿ-- t& ÿ ,:ÿ\i 'P\ ÿÿ!" "ÿ:ÿ' 0-ÿ- ÿ-ÿ::l\ÿ ,ÿ,ÿ'ÿc. I" i ?;
Medium
"' '-ÿ/ .
....
(L1.
ÿ")
:,, I 2 L ':4 i,q d
Large
!t
' t"ÿ" .t'©'
......d:ÿ"°ÿ
.-[Y.._.. I
,
Magdalena needs to save $200 for a bike. She has saved $40. If Magdalena saves $20 each
week, how many weeks will it take until she has enough money for the bike?
......................
i9o
t
::S}
ÿPo :' UOCÿ!-L
4x ÿy
.
Write the monomial
3y.a without the use of negative exponents.
y
,
Use the graph to find the solutions ofx2 - 2x-3 = O.
.v
. i°-!.,:¸,
; : : ;
1"ÿ t ,.i ........
,[-< >4 h.¢iÿ:
ÿ..ÿ:t f.:,lÿ ÿ 04 ÿ)"' ".
g
.
ÿ> t":,C <':;ÿ
J
Write the inequality shown by the graph.
-4
-ÿ
-2
-1
0
1
2
3
4
8. Find the solution to the inequality,
x + 4 < 6(x + 2)
Xÿ..q ,< (o,,< + ! oÿ
5
ÿ
9. Which system has an infinite number of solutions?
\t
/
x+ 2. =y
'1 = 2y-x
2ÿ-!-ÿI ..... :.-, ÿ ÿI
X -:' 0
"1:: "/"
'{
ÿ,: -" + :s = 2x
4x -- Zy- 3
........
;'-" (, ,.',. %" ÿ'/
°
"7.
i "i, "" t,> ..... ::ÿ k ",L
.... ft.:: I?Y,
2y + 6 ,- 4x
[-3 = y- 2x
'ÿ"
,, -,
" >,"P
/ {'y=2,v-5
-2=y 2x
41; 2k ......-ÿ)",.-
. A,
10. The perimeter of a rectangle is 42 centimeters. The length of the rectangle can be
represented by (x + 4) and its width can be represented by (2x - 7). What are the dimensions
of this rectangle in centimeters?
y,4 L.t
27'. ,ÿ
11. Add (2x2 -7) + (7x2 +3)
12. What are the missing exponents in the equation below? Give the missing exponent on the left
side first.
,,ÿ
ÿ-" oÿ
2(m7n)? -- 2m?n3
A. 7; 14
B 3:10
(Cÿ 3;21
D. 7;21
13. Two snow resorts offer private lessons to their customers. Big Time Ski Mountain charges $5 per
hour plus $50 insurance. Powder Hills charges $10 per hour plus $30 insurance. For how many
hours is the cost of lessons the same for each resort?
14. An object is thrown upward with an initial velocity of 3 5 meters per second. The objeet's distance,
d, above the ground at any time, ÿ, can be represented by the equation d = 35t- 5ÿ2. When will dÿe
object be 50 feet above flae ground?
a.
ÿ--iseeandt--O.4se¢
• t = 2 see and ÿ= 5 see
15.
c.
ÿ=2seeandt--10see
d. ÿ= 5 see and ÿ = 10 se€
'0ÿ,ÿ -.,
-
.....
[fl.,ÿ. ÿ!i) /.__ÿci,ÿ.. ÿ)., 4
Jasmine and her sister are saving to buy MP3 players. Jasmine has $50 and plans to saVÿ']ÿG¥crÿ ....
week. Iter sister has $80 mad plans to save $7 per week. J_n how many weeks will Jasmine have more
money saved than her sister?
a. 2weeks
c. lOweeks
16. George is helping rite manager of the local produce market expand her business by distributing flyers
around the neighbodaood. He gyt+s paid $20 a day as well as $0.05 for every flyer he distributes.
George would like to eaten-east'65 each day. Which of the following represents this situation,
where x is the number of flyers distributed.
a.
b.
20 + O.05x < 65
20+5x-ÿ65
20 + O.05x> 65
20+5x>65
17.
18,
19.
FJn,d the solutions to the quadratic equation 2x2 + 5x - I2 = O.
D. x'=--3 and x = 4
'j, :ÿ
2
.1,+..!.+
U
20.
'ÿ+ +++'+ ++.
Which shows the functions corre ct:ly listed in order from widest to narrowest graph,?
,,+
I tÿ l-z
.............
=7 ,y=2x%Y=4
/' s
=
y=
\ ÿ++ÿ 7
2
y y=
Xÿ', y=
z=2
,y= ÿ,y=-x-
"
4
p
1
' , y= 2.ÿ, y=---Xÿ
2
--x'l"
5 -,
9
__
D. y= 2xÿ,y= 2
Y= 4A'-''
y=--.X2
4
+% .
+, +. f,, • +,
....
+ +2+
ÿ...+',-i+- - ,,.!
-ÿ ,,=-,
"'
+'I i((
!
,,,> • FL
21. The cost of a telephone call, c, is a function of the time spent talking for t minutes.
The function c = 0.22t represents this situation.
60 + 15= 75
A. What would be the cost for a 1 hour and 15 minute telephone call?
- 1ÿ50
B. How many minutes can someone call for $26.40?
'£Z
Om -'ÿ
• Zÿ
C. If the cost of a telephone call increased to $0.25 per minute, what is the greatest
number of minutes someone can call for $26.40?
C=,"£5%
K0 \J ÿtdÿ
,2-9 ,2-e
22. The length of the rectangle shown below is represented by the expression (x - 2)2. The
width is represented by the expression (3x - 5). What is the perimeter of the rectangle?
tÿ ,-,ÿ,-,
t? = z t ÿ z w
2ÿz- ÿ ×-ÿ--ÿ ,+ÿ,x - iO.
,,!x,,-
2.
23. How is the trinomial 2y2 + 12y - 54 expressed in factored form?
24. The area of a square is A = s2. A square lot is to be used for the construction of a
building that is to have a square foundation.
If the building must have a square footage of no less than 400 sq. feet and no more
than 2,500 sq. ft, the domain of the area function must be which of the following?
s>20
B s>0
C s<50
20 < s < 50
25. These equations below are graphed on a coordinate graph.
Equation I: y = x2
Equation 3: y = ÿx2
Equation 2: y = 5x2
Equation 4: y=-3x2-4
How does the graph of Equation 2 differ from the graph of Equation 1?
'
=i:f0n 4,
How does the graph of Equation 3 differ from the graph of Equation 1?
Z.,ÿ-ÿ ,p-
How does the graph of Equation 4 differ from the graph of Equation 1?
, I
26. What is the vertex of the graph of the quadratic function f(x) = x2 + 6x + 10?
•
,=
.....
ÿ
I0
i
EL
27. A garden in the shape of a rectangle is fenced in withÿÿoTfÿncing and is
represented by the equation A = (x)(30 -x) where x is the width of the garden.
What are the dimensions of the garden that has an area of 1 76 square feet?
A(ÿ.2 8 feet by 22 feet
B 5 feet by 25 feet
C 11feet by16 feet
D 4 feet by 44 feet
!7Q> = "=gÿ'-P3Oy,
(x
--
o
28. The height of an object is represented by the equation below,
h(f) -- 400 - 16t2, where h represents the height and t represents seconds.
if an object is dropped from a building that is 400 feet high, how many seconds would it take
for the object to hit the ground?
5 seconds
B 10seconds
C 20 seconds
D 25 seconds