Closure Day Review
I. If
3y — 8 y
—
12
5
then
Name
y +2
3
Kel
—
7
31—'6
3\i
\i-- Li
—IT 5
then \)
and,
L4
---g- A. 2.
_s C*3->
2. Multiple Choice: What similarity statement can you write relating the -three triangles in the diagram?
0
M
AJMK MILK AJLM
AJMK ALMK AILM
AJLM AMLK AIKM
11KM AMKL AWL
3. Write the tangent ratios for LY and z.Z.
z
tan 2,
Lt
4. Find the perimeters and areas of the triangles below. Round to the nearest tenth.
a.
b.
8.9 cm
+cn 31 —
Area =
G
Perimeter = __253_on
Area =
c-CL-75,0eiryit
Perimeter =
v7
5. Nicole decided to find the height of the Empire State Building. She walked 1 mile away (5280 feet) from
the tower and found that she had to look up 15.5° to see the top. Assuming Manhattan is flat, if Nicole's
eyes are 5 feet above the ground how tall is the Empire State Building?
tcivl (1 5.5 )
ry Sbo
11-161-1.21
4-- 5
CH (0 9 ,,221
t
6. Find the value of w, then x. Round lengths of segments to the nearest hundredth.
b
(A)
+com
17,7:513.33
-1-CAY)
(2:0
it 23.55
x
)(--= 23,55- 13,33
A
7. Find a formula for the following sequences:
'glob
;-72
4/16
a. -7, -4, -1, 2, 5, 8...
ce
tTh.,)
EC") : 3n - io
b. 12, 18, 27, 40.5, 60.75...
4", (Y))
7- 0
8. What is the 53rd term in this sequence?
L3
6, 14.5, 23, 31.5, 40, 48.5...
t Get) 6,5Y\
9. Consider the sequence 2, 8, 3y + 5, ...
a. Find the value of y if the sequence is arithmetic.
%3yts
3y4-= 14
b. Find the value of y if the sequence is geometric.
3yts
c>t
'04
3\/1-5=
=
a 2,5
.a5n-=
%,5 (4 53)-25
10. What is the expected value when rolling a standard six-sided die?
I (49) i" (4;,) I"
t 5(4)406
H
3( /04
1
11. Avery has been learning to play some new card games and is curious about the probabilities of being dealt
different cards from a standard 52-card deck. Help him figure out the probabilities listed below. Show any
work to the right.
a. P(King) =
ki&51<-0
KC')
52
1-1
2
b. P(Queen)
13
Al K, Q t 3,
c. P(Club) =
d. P(King or Club) =
52-
e. P(King or Queen) =
52.
f. P(not a face card) =
52_
i3
to t ct i g t i
l Ci5/143,Z
ray-±
Ccor cAS
C 00not
a:7/ KO,
ifi ►exe on. I T -ence- conks
52-12.
12. Sammy the rat is trying to learn the new maze at right. If he randomly chooses a path each time the path
forks, which room is he most likely to walk into? Justify your answer by showing the probability that he
ends up in each room as fractions and decimals.
C tS
A
NA).
r%w
?(6)--
A -3/4.
(.0
3
t
PCcirric? k *1-
t3
li
to NrooPn
3
-4-u Luck \\.
13. In Dawn's neighborhood, 75% of homes are two-story homes. There are no homes with greater than twostories. A study of a small town shows that 50% of two-story homes have computers in them. If a home
has only one-story, the probability of it having a computer inside is 35%.
(
a. Draw a tree diagram.
b. Find P(having a two-story home in Dawn's
neighborhood and having a computer).
Show your work. Leave answer as a decimal
pb...4corno-,-(-16)(.5)c. Find P(having a computer in Dawn's
neighborhood). Show your work.
Leave answer as a decimal.
F(conie)-7. .ons 4-- 375
14. When he was in first grade, Chase played games with spinners. One game he
especially liked had two spinners and several markers that you moved around a
board. You were only allowed to move if your color came up on both spinners
a. Use an area model to represent this situation.
b. Harvey always chose purple. What was the
probability that Harvey could move his marker?
C-' 1/q 1
arks/ MoVe..) —
N
Is the event that Harvey wins a union or an
21(' intersection of events?
infrirs e a-H.6n
d. Was purple the best color choice? Explain.
no yaw moves (0
•■ more oce iu, Hictn porp(L
e. If both spinners are spun, what is the probability
that no one gets to move because the two colors are
not the same?
RneA- v-vio\ft) =
p(movc)
-
or
1 ,2_± 12_
-I- _1.
P