Download December 2021 int Math Explanation (Mr. Amr Mustafa)

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2 d x ? 3 c x = 2cd ? x
W h i c h system o f linear equations has exactly one
s o l u t i o n¢
A)
x+3y=5
The given equation relates the real numbers c, d, and
x, where c < 0 and d > 0. W h i c h equation correctly
express x in terms o f cand d ?
2x+6y =9
a)
)
B)
x + 2 y = 3
xe
34
= 5936
2x + 3 y = 3
B)
C)
x+2y=3
2x+4y=5
D)
x + 2 y = 3
c
)
x=
2d + 3
~e
_ 2e+2
3 7 4 oe
2x + 4 y = 6
D e e
2cd
) X 7 7 =3 c 4 1
The value of y is 5 more than twice the value of x.
Which of the following represents y in terms of x?
A)
y = 2 x + 5
B)
y = 5 x + 2
C)
y = 7 x + 2
D)
y = 7 x + 5
1
3
W h i c h e x p r e s s i o n is e q u i v a l e n t t o p 1 (6 v 4 )
w h ep >
r 0e?
A)
9p?
By
Yp3
©)
Ye
D)
yp
,
M a t h Test ? C a l c u l a t o r
55 M I N U T E S , 3 8 Q U E S T I O N S
T u r n t o Section 4 o f y o u r a n s w e r s h e e t t o answer t h e q u e s t i o n s in t h i s section.
Piizaiene
F o r q u e s t i o n s 1 - 3 0 , s o l v e e a c h p r o b l e m , c h o o s e t h e best a n s w e r f r o m t h e c h o i c e s
p r o v i d e d , a n d f i l l in t h e c o r r e s p o n d i n g b u b b l e o n y o u r a n s w e r sheet. F o r q u e s t i o n s 3 1 - 3 8 ,
s o l v e t h e p r o b l e m a n d e n t e r y o u r a n s w e r i n t h e g r i d o n t h e a n s w e r sheet. Please r e f e r t o
t h e d i r e c t i o n s b e f o r e q u e s t i o n 31 o n h o w t o e n t e r y o u r a n s w e r s in t h e grid. You m a y use
a n y a v a i l a b l e s p a c e i n y o u r test b o o k l e t f o r s c r a t c h w o r k .
1. The use of a calculator is p e r m i t t e d .
2. All variables and expressions used represent real numbers unless otherwise indicated.
3. Figures provided in this test are drawn t o scale unless otherwise indicated.
A. All figures lie in
a
plane unless otherwise indicated.
5. Unless otherwise indicated, the domaino f a given function f is the seto f all real numbers x for
which f(x) is a real number.
A s a
A t n
= tw
2
+
B®
Special Right Triangles
C=2ar
V=twh
V=arh
T e
aw
The n u m b e r of degreeso f a r c in a circle is 360.
The n u m b e r of radians of arc in a circle is 27.
The sumo f the measures in degrees of the anglesof a triangle is 180.
wan
K
E
4
x i
1204
Burning methane produces 891 kilojoules o f energy
per mole o f methane molecules. W h i c ho f the
(00+
following is closest to the n u m b e r of moles of
methane molecules required to produce 5,500
kilojouleso f energy f r o m burning ?
80
60
A)
0.16
40
B)
6.2
C)
4,600
D)
4,900,000
20
0
t
2
3°
«4
5
6
7
a
9
?Time(seconds)
A marine biologist tracked the distance o f two
bottlenose dolphins from an ocean beacon. The
graph shows the distance o f each dolphin f r o m the
beacon after the marine biologist began tracking
them. A f t e r h o w m a n y seconds were the dolphins the
same distance from the beacon?
A)
2
B)
8
C)
20
D)
60
R 4 3
Hh
[4
e
4
v
Q u e s t i o n s 6 a n d 7 refer t o t h e f o l l o w i n g i n f o r m a t i o n .
which o f the following is closest to the land area, i n
square miles (mi?) o f Malta ? (Use 1 km?=0.39 mi*)
T h e table shows the approximate land area, i n square
kilometers (km?), o f 5 European countries i n 2018. The
b a r graph gives the approximate populalion o f each o f
these countries in 2018.
A)
8.97
B)
136.5
Cc)
350
D)
897
C o u n t r y _ _ | L a n d area(km? )
Estonia
42,000
Luxembourg
100,000
Malta
2,600
Montenegro
13,500
Which of the following statements best compares
the mean and the mediano f t h e populations for
these 5 countries
1,400,000 +
§
3 1,200,000
2
31,000,000
a
2
= 800,000
3
6
&
?
A)
T h e mean is greater than the median.
B)
T h e mean is less than the median.
C)_
T h e mean is equal to the median.
D)
There is n o t enough i n f o r m a t i o n to compare
the mean and the median.
600,000
400,000 4
200,000
7]
S
-
§
F
#«
S
K
v
»
?
?
?
?
_
?
SS
w
Country
wu
E
>
_
?
?
4
Fxi
ty
4
Pai
The graph ghows the predicted value V(1) o f a t r u c k
x is 63% o f y, I f x > 0, which expression represents y
in dollars, with respect to the time # years, since
in terms o f x?
the truck was purchased.
22
a»
samy
nmot_t
+
.
+
30.000
>
py
+
+t
t
100
wZWwet
63
q
£
o
37
we
t
20,000
0
+
omy
rr
t
{
D)
~37
?x
100
4
+
4
e Timeiyears}
e
1?t
ae
?+
W h i c h function best describes the predicted value o f
the truck, i n dollars, as a function of 1 ?
A)
V(m) = 48,000
B)
V ( n ) = 48,000 ? 1 2 , 0 0 0 n
Which of the following linear equations has no
? 4,000n
solution
?
A) 4
©)
V(n) = 48,000n ? 12,000n
D)
V ( n ) = 4 8 , 0 0 0 n ? 12,000
Io
24 ) = 4+x 4 8
By
4 x +
=
2 8 x) + 4
C)
4 ( x + 2 ) = 4 4 4 2
D) 4 ( x + 2 ) = 2 x 4 + 4
I f 5 ( x ? 8) + 3 ( x ? 8 ) = 8 0 , what is the value o f
x - 8 ?
A)
4
B)
6
Cc)
8&
D)
10
a0
8
E
e
n
i
4
R
A landscape supply company sells mulch at a rate o f
$30 per cubic yard. W h a t price does the company
charge for 54 cubic feet of mulch?
(1
yard =
3 feet)
o
4
[ i
The mean score o f a basketball team f o r its last 8
games was 64.5. If the highest score o f these games is
removed, the mean score of the remaining games
A)
$54
becomes 63. What was the highest scoreof t h e last 8
B)
$60
games
C) $810
A)75
D) $1,620
B71
C) 63
D)55
The graph of y = f ( x } ? 2
equation defines function f ?
A)
f(x)
B)
f(x) =-2@)"+1
C)
fQ) =-2*42
=
-2(2)* +2
D) f q ) = - 2 x + 1
is
shown. Which
?
4
R
4
31
28 is p% o f 35. W h a t is the valueo f
W h a t is the x-coordinate o f the x-intercept o f the line
1
2
w i t h equation 3% + B = 1 when i t is graphed i n
p?
the xy-plane
?
The scatterplot shows the relationship between t w o
variables, x and y. A line of best fit f o r the data is
also shown.
x + 9y =3 7
x+ty=5
The solution to the given system o f equations
is (x, y). W h a t is the value o f 8 y?
For how many data points does the line o f best fit
predict a y-value greater than the y-value o f the
actual data point ?
56
E
>
4
jm?5| +15 =40
zB
W h a t is the sum of the solutions to the given
equation ?
Note:Figure not d r a w n to scale.
In the circle above point O is the center, and
In the xy-plane, the circle w i t h radius 5 and center
diameter AC bisects BD at point E. The radius of
the cicle is 8, and EC =1. If BE = vic what is the
(8, 3) contains the point (w, 0). W h a t is one
,
possible value o f w ?
value of k?
A n exponential model indicates that 136 thousand
humanities degrees were earned i n 1975; and this
n u m b e r decreased, by 8% each year u n t i l 1985.
A c c o r d i n g to the model, when rounded to the
nearest thousand, x thousand degrees were earned
in1977. W h a t is the value o ?f
STOP
I f y o u f i n i s h b e f o r e t i m e is c a l l e d , y o u m a y e h e c k y o u r a w o r k o f e t h i s s e t t i o n o n l y .
D o n o t t u r n t o a n yS t H E TS a r e y i n é thousand degrees were earned
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