Test đầu vào sc052023 - Test 1 - English | Đại học công nghê Sài Gòn

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SC TEST U RA MODULE 1 ĐẦ
1.
Which of the following is equivalent to
(
(
A)
B)
C)
D)
2.
y = ( (
The graph in the -plane of the equation above xy
contain the point ( , ). If -5 < 0 which of the a b a
following is NOT a possible value of ? b
A) -3
B) -1
C) 0
D) 1
3.
40% of people in a hall were men, 140 were women and
the remaining 25% were children. When some men left the
hall, the percentage of men in the hall dropped to 25%.
How many men were there in the hall in the end ?
4.
M =
(
, k months. If is represented the t
number of years. Which is the formula in term ? t
A)
M = (
B)
M = (
C)
M = (
D)
M = (
5.
What is the coefficient of
when
is
multiplied by the
?
A) -5
B) -1
C) 1
D) 5
6.
At a certain time of day, a tree casts a 16-foot shadow
and a 5-foot stick casts a 4-foot shadow. What is the
height, in feet, of the tree ?
7.
( (
y = 5
K is a positive integer constant. What is the value of k
so the system has exactly 1 solution ?
8.
A line in the -plane contains the points ( , ) and (xy a 10 3a,
2), where is a positive constant. If this line is defined a
by the equation , where are y = mx + b m and b
constants, what is the value of b ?
A) 6
B) 14
C)
10 +
D)
10 -
9.
Which of the following could be the equation for the
graph shown in the -plane above ? xy
A)
y = (
(x +
)
B)
y = (
(x
)
C)
y = ( (
D)
y = ( (
10.
-2
2
O
x
y
In the equation is a
(
(
positive constant. Which of the following could be the
graph of the equation in the -plane ? xy
A)
B)
C)
D)
11.
Roman Empire
Ancient Greece
The Metropolitan Museum of Art has plates on
display from the Roman Empire and ancient Greece.
The box plots shown summarize the distributions of
the diameters, in centimeters, of all the museum’s
plates from each region. How does the median
diameter of the plates from the Roman Empire, r,
compare to the median diameter of the plates from
ancient Greece, g ?
A) r < g
B) r > g
C) r = g
D) There is not enough information to compare
the medians
0 5 10 15 20 25 30 35 4
Diametern(cm)
12.
A radio station is having a promotion in which every
4 caller receives a shopping voucher, every 12
th th
caller receives a gift hamper, and every 18 caller
th
receives a complimentary concert ticket. Which caller
will be the first to win all the three prizes ?
13.
The length of a rectangle is 15 and its width is 12. If
the length is increased by 20% and the width is
decreased by 20%, by what percentage does the area
of the rectangle decrease ?
14.
5 + 13 = 17 x y
bx + 54.6y = 37
In the system of equations above, constant. If b is a
there is no solution to the system,
what is the value of b ?
A) 17.4
B) 19.6
C) 21.0
D) 27.3
15.
3 = 5 6 x + m x
3 = 5 6 y + n y
In the equations shown above, m and n are constants.
If +
m = n
which of the following statements is true
?
A)
x is y plus
B)
x is y minus
C) x is y minus 1
D) x is y plus 1
16.
Which of the following is equivalent to the expression
above, given that ?
A)
B)
C)
D)
17.
If f is an exponential function and the value of f(x)
doubles each time is increased by 5, which of the x
following could define ? f
A)
(
B)
(
C)
(
D)
(
18.
3x k x c+ = ( 1)( ² + ax bx + )
In the equation above, , and k are constants. If a, b, c
the equation is true for all values of , what is the x
value of ? c
A) 4
B) 2
C) -2
D) -4
19.
6
8
10
12
14
Frequenc
The histogram above shows the distribution of the heights, in
meters, of 26 pyramids in Egypt. Which of the following
could be the median height of the 26 pyramids represented in
the histogram ?
A) 44 meters
B) 48 meters
C) 63 meters
D) 77 meters
20.
In a community garden, the ratio of tomato plants to
pepper plants is 2:3, and the ratio of pepper plants to
pea plants is 5:1. There are 6 pea plants in the garden.
How many tomato plants are in the garden ?
21.
The bank of a driver are straight and parallel. To find the
width of the river, two point, A and C are choosen 50
metres apart. The angles made with a tree at C on the
opposite bank are measured as angle BCD = 40°, angle
BAD = 56°. Calculate the width of the river ?
4
A
Bank
C
D
56°
40°
( Round your answer to the nearest tenths)
22.
The distance between the points (7, 5) and ( , 4) is 8. x
What is/are the coordinate(s) of x ?
A) 7 +
B) 7
C) 3 ±
D) 7 ± 3
23.
For a polynomial ) = ( 3)( 3) , of p(x x x + + m which
the following statement must be true ?
I. ). p(3) = 0, so ((x 3) is a factor of p x
II. ( ). p m) = (m, so ( ) is a factor of x m p x
III. ( p(0) = m 9, so the remainder when p x)
divided by 9. x is m
A) Only I
B) I and II
C) I and III
D) I, II and III
24.
The complete graph of the function is shown on thef
xy-plane above. Which of the following are equal to
1?
I. f (-3)
II. (1) f
III. (2) f
A) I only
B) II only
C) II and III only
D) I, II, and III
25.
When a comet passes by the sun, it leaves a trail of
rocks, ice, and dust. As the Earth passes through this
trail, some of the particles enter the earth's
atmosphere, manifesting as meteorites or "shooting
stars." The graph above is the line of best fit of a
meteor shower that took place in November 2014.
12) A Which of the following can be deduced about
the line of best fit and the actual number of meteors
seen per minute at 3:00 AM ?
A) The line of best fit predicted 5 fewer meteors per
minute than were witnessed.
B) The line of best fit predicted 5 more meteors per
minute than were witnessed.
C) There were fewer meteors witnessed at 3:00 AM than
there were at 2:00 AM. s
D) The line of best fit and the actual number of meteors
witnessed at 3:00 AM were equivalent.
26.
rai ni cpIcini ep oi cna nIi
O
i ,cna Inii nanini
BOA
ionai
fnnarIni em
InTpnaaai doniinan oi em oni nIci
pa nIcnb nTi pei nanini
BOA
ipai eon i mInc peai emi oni
cpIcrfmnInacniemi onicpIcin
27.
If is directly proportional to ( 1) and = 20 q p
2
q
when when p p = 3, find the values of q p = 80 and is
a positive number ?
SC TEST U RA MODULE 2 ĐẦ
1.
Gina is saving money for a cross-country road trip
with two of her friends. She currently has $240 saved
for the excursion and can save $125 each month in the
future. Which of the following expressions represents
the amount of money Gina will save after months ? m
A) 365 m
B) 125 + 240 m
C) 240+ 125 m
D) 365m + 240
2.
According to the chart given below, which of the
following is closest to the median number of
unemployed for the years 2001 to 2011, inclusive ?
A) 11500
B) 12500
C) 17000
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SC TEST ĐẦU RA MODULE 1 1.
Which of the fol owing is equivalent to ( ( A) B) C) D) 2. y = ( (
The graph in the xy-plane of the equation above
contain the point (a, b). If -5 < a ≤ 0 which of the
fol owing is NOT a possible value of b ? A) -3 B) -1 C) 0 D) 1 3.
40% of people in a hal were men, 140 were women and
the remaining 25% were children. When some men left the
hal , the percentage of men in the hal dropped to 25%.
How many men were there in the hal in the end ? 4. M = (
, k months. If t is represented the
number of years. Which is the formula in term t ? A) M = ( B) M = ( C) M = ( D) M = ( 5.
What is the coefficient of when is multiplied by the ? A) -5 B) -1 C) 1 D) 5 6.
At a certain time of day, a tree casts a 16-foot shadow
and a 5-foot stick casts a 4-foot shadow. What is the
height, in feet, of the tree ? 7. ( ( y = 5
K is a positive integer constant. What is the value of k
so the system has exactly 1 solution ? 8.
A line in the xy-plane contains the points (a, 10) and (3a,
2), where a is a positive constant. If this line is defined
by the equation y = mx + b, where m and b are
constants, what is the value of b ? A) 6 B) 14 C) 10 + D) 10 - 9. y x -2 O 2
Which of the fol owing could be the equation for the
graph shown in the xy-plane above ? A) y = ( (x + ) B) y = ( (x – ) C) y = ( ( D) y = ( ( 10. In the equation ( ( is a
positive constant. Which of the fol owing could be the
graph of the equation in the xy-plane ? A) B) C) D) 11. Roman Empire Ancient Greece 0 5 10 15 20 25 30 35 4 Diametern(cm)
The Metropolitan Museum of Art has plates on
display from the Roman Empire and ancient Greece.
The box plots shown summarize the distributions of
the diameters, in centimeters, of all the museum’s
plates from each region. How does the median
diameter of the plates from the Roman Empire, r,
compare to the median diameter of the plates from ancient Greece, g ? A) r < g B) r > g C) r = g D)
There is not enough information to compare the medians 12.
A radio station is having a promotion in which every
4th cal er receives a shopping voucher, every 12th
cal er receives a gift hamper, and every 18th cal er
receives a complimentary concert ticket. Which cal er
wil be the first to win al the three prizes ? 13.
The length of a rectangle is 15 and its width is 12. If
the length is increased by 20% and the width is
decreased by 20%, by what percentage does the area of the rectangle decrease ? 14. 5x + 13y = 17 bx + 54.6y = 37
In the system of equations above, b is a constant. If
there is no solution to the system, what is the value of b ? A) 17.4 B) 19.6 C) 21.0 D) 27.3 15. 3x + m = 5x – 6 3y + n = 5y – 6
In the equations shown above, m and n are constants.
If m = n + which of the fol owing statements is true ? A) x is y plus B) x is y minus C) x is y minus 1 D) x is y plus 1 16.
Which of the fol owing is equivalent to the expression above, given that ? A) B) C) D) 17.
If f is an exponential function and the value of f(x)
doubles each time x is increased by 5, which of the fol owing could define f ? A) ( B) ( C) ( D) ( 18.
x³ 3x + k = (x − 1)(ax² + bx + c)
In the equation above, a, b, c, and k are constants. If
the equation is true for al values of x, what is the value of c ? A) 4 B) 2 C) -2 D) -4 19. 14 12 10 8 Frequenc 6 4
The histogram above shows the distribution of the heights, in
meters, of 26 pyramids in Egypt. Which of the fol owing
could be the median height of the 26 pyramids represented in the histogram ? A) 44 meters B) 48 meters C) 63 meters D) 77 meters 20.
In a community garden, the ratio of tomato plants to
pepper plants is 2:3, and the ratio of pepper plants to
pea plants is 5:1. There are 6 pea plants in the garden.
How many tomato plants are in the garden ? Bank 21. 56° 40° A D C 4
The bank of a driver are straight and paral el. To find the
width of the river, two point, A and C are choosen 50
metres apart. The angles made with a tree at C on the
opposite bank are measured as angle BCD = 40°, angle
BAD = 56°. Calculate the width of the river ?
( Round your answer to the nearest tenths) 22.
The distance between the points (7, 5) and (x, 4) is 8.
What is/are the coordinate(s) of x ? A) 7 + √ B) 7 √ C) 3 ± √ D) 7 ± 3√ 23.
For a polynomial p(x) = (x – 3)(x + 3) + m, which of
the fol owing statement must be true ?
I. p(3) = 0, so (x – 3) is a factor of p(x).
II. p(m) = m, so (x – m) is a factor of p(x).
III. p(0) = m – 9, so the remainder when p(x) divided by x is m – 9. A) Only I B) I and II C) I and III D) I, II and III 24.
The complete graph of the function f is shown on the
xy-plane above. Which of the fol owing are equal to 1? I. f (-3) II. f (1) III. f (2) A) I only B) II only C) II and III only D) I, II, and III 25.
When a comet passes by the sun, it leaves a trail of
rocks, ice, and dust. As the Earth passes through this
trail, some of the particles enter the earth's
atmosphere, manifesting as meteorites or "shooting
stars." The graph above is the line of best fit of a
meteor shower that took place in November 2014.
12) A Which of the fol owing can be deduced about
the line of best fit and the actual number of meteors seen per minute at 3:00 AM ?
A) The line of best fit predicted 5 fewer meteors per minute than were witnessed.
B) The line of best fit predicted 5 more meteors per minute than were witnessed.
C) There were fewer meteors witnessed at 3:00 AM than there were at 2:00 AM. s
D) The line of best fit and the actual number of meteors
witnessed at 3:00 AM were equivalent. 26. ona i BOAi cna Inii nani i n ,O r i ai ni cpIcini ep oi cna nI fnnarIni em inan oi e Ii mnTpnaaai don oni nIci pai eon i mInc peai emi io B ni OA p i a nIcnb nTi pei nanin cpIccip in IcrfmnInacniemi on 27.
If q is directly proportional to (p – 1)2 and q = 20
when p = 3, find the values of p when q = 80 and p is a positive number ?
SC TEST ĐẦU RA MODULE 2 1.
Gina is saving money for a cross-country road trip
with two of her friends. She currently has $240 saved
for the excursion and can save $125 each month in the
future. Which of the fol owing expressions represents
the amount of money Gina wil save after m months ? A) 365m B) 125 + 240m C) 240+ 125m D) 365m + 240 2.
According to the chart given below, which of the
fol owing is closest to the median number of
unemployed for the years 2001 to 2011, inclusive ? A) 11500 B) 12500 C) 17000