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EDUCAIDE SOFTWARE
c 1999 by EAS EducAide Software Inc.
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9th Grade Placement Exam
Date
Name
Instructions: Darken the bubble corresponding to the correct answer. You will have 50 minutes to complete
the test. If you finish before time is called, go back and check your answers.
1.
What decimal is represented by the phrase
twenty-nine and thirty-one thousandths?
a
_
d
_
3.
29.311
b
_
d
_
8.32 × 108
8.32 × 1010
8.32 × 1011
b
_
e
_
xy > 0
x2 > y 2
<
y2
c
_
b
_
e
_
−35
70
6.
3x < 2y
c
_
21
8.
350
10.
b
_
d
_
67.5 × 10−14
a−b<0
ab > 0
b
_
e
_
b
_
e
_
−35
38
2g − 3h
II.
h+5
II.
2g + 3h
III.
h2 − 5h + 25
III.
4g − 9h
IV.
h2
IV.
g+h
+ 5h + 25
II and III only
III and IV only
II and IV only
675 × 10−13
a2 > b2
c
_
a2 < b2
3a > 3b
−10
c
_
14
70
Which of the following are factors of 4g 2 − 9h2 ?
I.
I and III only
6.75 × 10−15
6.75 × 10−14
h−5
b
_
d
_
5.0436
54.36
6.75 × 10−16
I.
I and II only
c
_
Evaluate (4p − 10)(p + 2) for p = 5.
a
_
d
_
50
5.436
5.43
If a > b, then which one is always true?
a
_
d
_
x−y<0
b
_
e
_
5.036
Simplify 7.5 × 10−9 9 × 10−7 , and write your
answer in scientific notation.
a
_
c
_
e
_
0.832 × 109
Which of the following are factors of h3 + 125?
a
_
c
_
e
_
4.
832 × 108
x2
What decimal is represented by the phrase five
and four hundred thirty-six thousandths?
a
_
d
_
29.031
Evaluate (11z + 6)(z − 3) for z = 4.
a
_
d
_
9.
c
_
If x < y, then which of the following is always
true?
a
_
d
_
7.
29.31
29.0031
Simplify 3.2 × 106 2.6 × 104 , and write your
answer in scientific notation.
a
_
c
_
e
_
5.
b
_
e
_
29.00031
2.
a
_
c
_
e
_
I and II only
I and IV only
b
_
d
_
I and III only
II and III only
III and IV only
Copyright (c) 1999 EAS EducAide Software Inc. All rights reserved. You may distribute this document freely, provided you do not alter it in any way or remove this copyright notice.
Note: this document was produced by EducAide’s Acces program. It contains problems from the MMA database. For more information, please call 800-669-9405 or visit www.educaide.com.
Page 2
11.
Find the expression that would represent the
volume of the rectangular solid.
a
_
b
_
c
_
d
_
e
_
13.
15.
x2 + 6x + 8
3x + 6
7
3
b
_
e
_
−5
−3 or 1
c
_
−6
1
10
amperes
3
4
amperes
2a2 + 5a + 6
a2 + 6a + 6
a3 + 5a2 + 6a
6a2 + 20a + 12
b
_
1
2
c
_
1
2
d
_
4
e
_
8
12
c
_
−3
16.
b
_
d
_
2
9
amperes
2
3
amperes
Solve the equation
a
_
d
_
−5 or 2
0 or 1
amperes
1
2
a3 + 5a
Given (4t + 1)(2t − 6) = t(8t + 2) − 18, what is
the value of 4t ?
a
_
1
1
2
+ = 2
.
x−1 2
x −1
b
_
e
_
14.
− 11
3
The current I in an electrical conductor varies
inversely as the resistance R of the conductor.
If the current is 12 ampere when the resistance
is 240 ohms, what is the current when the
resistance is 540 ohms?
a
_
c
_
e
_
19.
5x2 + 18x + 8
Solve the equation
a
_
d
_
17.
x3 + 6x2 + 8x
− 17
2
Find the expression that would represent the
volume of the rectangular solid.
a
_
b
_
c
_
d
_
e
_
x3 + 8x
Given (3x + 5)(2x − 1) = x(6x + 1) − 16, what is
the value of 2x ?
a
_
d
_
12.
18.
− 83 or 4
− 16
3
x2
b
_
e
_
3
1
8
+ =
.
− 16 4
x−4
−4 or − 38
c
_
−14 or
1
4
− 38
The volume V of a gas varies inversely as the
pressure P upon it. The volume of a gas is
200 cm3 under pressure of 32 kg/cm2 . What will
be its volume under a pressure of 40 kg/cm2 ?
a
_
d
_
138 cm3
160 cm3
b
_
e
_
c
_
144 cm3
154 cm3
172 cm3
Which of the following graphs represent an inverse variation?
a
_
b
_
c
_
d
_
e
_
Copyright (c) 1999 EAS EducAide Software Inc. All rights reserved. You may distribute this document freely, provided you do not alter it in any way or remove this copyright notice.
Note: this document was produced by EducAide’s Acces program. It contains problems from the MMA database. For more information, please call 800-669-9405 or visit www.educaide.com.
Acces format version 3.3H β
c 1997 EducAide Software
Licensed for use by (unregistered)
9th Grade Placement Exam
5/8/98
Answer List
1.
4.
7.
10.
13.
16.
19.
c
b
c
a
c
e
b
2.
5.
8.
11.
14.
17.
d
c
e
b
c
b
2.
5.
8.
11.
14.
17.
MMA
MMA
MMA
MMA
MMA
MMA
3.
6.
9.
12.
15.
18.
c
e
c
d
b
d
3.
6.
9.
12.
15.
18.
MMA
MMA
MMA
MMA
MMA
MMA
Catalog List
1.
4.
7.
10.
13.
16.
19.
MMA
MMA
MMA
MMA
MMA
MMA
MMA
BA 7
BD 64
FA 13
GC 42
IA 51
ID 50
IJ 6
BA 10
EA 35
FA 14
HD 37
IA 52
IJ 33
BD 61
EA 37
GC 65
HD 38
ID 49
IJ 34
1.
Algebra 1B
Applied Math Problems
Mr. Meyers
5/8/98
The given cube is cut into 27 smaller cubes.
Suppose you paint the outside of the large cube
gray, then put all the small cubes into a bag. If
you pick one of the small cubes at random, what
is the probability that it will have exactly one
gray side?
A.
D.
1
9
1
2
B.
E.
2
9
7
8
1
3
C.
6.
A local library bought 54 books. Some cost $32
each and some cost $44 each. The total cost of
the books was $1,968. How many of the $32
books were purchased?
A. 34
7.
B. 38
C. 41
D. 45
E. 49
In the given diagram, find the height of the light
house to the nearest tenth.
A. 20.3 m
B. 23.4 m
C. 25.9 m
2.
3.
The highest elevation of any point on earth is
Mt. Everest, which is 29,028 ft above sea level.
The Dead Sea is the lowest at 1,290 ft below sea
level. What is the difference in elevations between
these two locations?
A. 2,250 ft
B. 18,267 ft
D. 30,318 ft
E. 41,928 ft
A.
D.
4.
·D
B.
·D
E.
1
3
5
6
·D
C.
1
2
A. 5 seconds
B. 20 seconds
C. 50 seconds
D. 200 seconds
Three out of four dentists recommend brand X
toothpaste. In a group of 460 dentists, how many
would not recommend brand X?
B. 298
9.
·D
The distance from the Sun to the Earth is
1.496 × 108 kilometers. About how long does it
take light to travel from the Earth to the Sun if
the speed of light is 3 × 105 kilometers per second?
(Use the formula d = rt solved for time.)
A. 115
8.
·D
E. 500 seconds
5.
E. 31.2 m
C. 27,738 ft
Of D dogs in Mrs. Pace’s kennel, 31 are classified
as large dogs and 41 of the remainder are classified
as medium-sized. How many of the dogs are
classified as small?
1
6
2
3
D. 28.7 m
C. 345
D. 510
Orlando can do a job in 4 days. When Orlando
and Maggie work together, the job takes 2 13 days.
How long would the job take Maggie working
alone?
A. 5 35 days
B. 5 43 days
D. 6 78 days
E. 7 61 days
A projectile launched from the ground travels
3.2 miles in a straight path and reaches a height
of 0.5 miles. Find the angle that the path of the
projectile makes with the ground to the nearest
degree.
A. 5 ◦
10.
C. 6 23 days
B. 9 ◦
C. 12 ◦
D. 15 ◦
E. 18 ◦
Suppose a radio tower is 800 feet tall. Assuming
that the diameter of the earth is 8,000 miles, how
far is it from the top of the tower to the horizon
point A or B ? (Find your answer to the nearest
tenth of a mile.)
A. 28.3 mi
B. 30.8 mi
C. 34.8 mi
D. 38.4 mi
E. 43.8 mi
E. 613
Copyright (c) 1999 EAS EducAide Software Inc. All rights reserved. You may distribute this document freely, provided you do not alter it in any way or remove this copyright notice.
Note: this document was produced by EducAide’s Acces program. It contains problems from the MMA database. For more information, please call 800-669-9405 or visit www.educaide.com.
Acces format version 3.3H β
c 1997 EducAide Software
Licensed for use by (unregistered)
Algebra 1B
Applied Math Problems
Mr. Meyers
5/8/98
Answer List
1.
4.
7.
10.
B
E
B
C
2.
5.
8.
D
A
A
3.
6.
9.
C
A
B
2.
5.
8.
MMA AG 12
MMA DF 52
MMA IK 83
3.
6.
9.
MMA BK 49
MMA IK 67
MMA LL 20
Catalog List
1.
4.
7.
10.
MMA
MMA
MMA
MMA
EE 75
CH 40
LL 10
NE 14
Introductory Algebra
Final Review
Name
Date
1.
1.
a _
b _
c _
d _
e
_
2.
a _
b _
c _
d _
e
_
3.
a _
b _
c _
d _
e
_
4.
a _
b _
c _
d _
e
_
5.
a _
b _
c _
d _
e
_
6.
a _
b _
c _
d _
e
_
7.
a _
b _
c _
d _
e
_
Find the quotient and remainder when 653 is divided by 9.
a. 72 r 1
2.
kx
cents
b
5.
k
cents
bx
c.
ka
cents
x
b. 10, 18, 28
c. 13, 21, 34
e. 74 r 8
d.
k
cents
bx
e.
bx
cents
k
d. 14, 22, 36
e. 16, 24, 40
p
m + 7 = 4.
a. −3
b. 3
d. 11
e. no solution
c. 9
In the diagram, if `1 and `2 are parallel, which of the following must be true?
d.
6
6
1∼
=6 6
b.
6
1∼
=6 8
2∼
=6 5
e.
6
3∼
=6 5
c.
6
2∼
=6 3
The perimeter of an equiangular triangle is 31 cm. Find the length of each
side.
a. 10 31 cm
7.
b.
Find the solution to
a.
6.
d. 73 r 5
Find the next three items in the pattern 1, 1, 2, 3, 5, 8.
a. 9, 17, 26
4.
c. 73 r 3
A grocer sold k pounds of butter for b cents. In terms of k and b, find
number of cents the grocer received for selling x pounds of butter.
a.
3.
b. 72 r 5
b. 11 14 cm
c. 15 cm
−−−
Given the following diagram with SQ bisecting
true?
a. RS > RQ
b. QR > PQ
d. SP > QP
e. SR < SP
d. 22 21 cm
6
e. 45 cm
PSR, which inequality is
c. SR < SQ
Copyright (c) 1999 EAS EducAide Software Inc. All rights reserved. You may distribute this document freely, provided you do not alter it in any way or remove this copyright notice.
Note: this document was produced by EducAide’s Acces program. It contains problems from the MMA database. For more information, please call 800-669-9405 or visit www.educaide.com.
Page 2
−−−
Given the figure with 6 RTS a right angle, and TU is
an altitude. If RS = 25 and SU = 5, find the value
of TS.
√
√
√
a. 5
b. 5
c. 5 5
d. 10
e. 12 2
8.
9.
Find the area of a triangle with base 6 and altitude 12.
a. 12
10.
12.
13.
b.
c.
d.
a. 3π
b. 4π
d. x + 4π
e. 2x + 3π
c.
2
9
d.
9
2
e.
b. 16
10.
a _
b _
c _
d _
e
_
11.
a _
b _
c _
d _
e
_
12.
a _
b _
c _
d _
e
_
13.
a _
b _
c _
d _
e
_
14.
a _
b _
c _
d _
e
_
15.
a _
b _
c _
d _
e
_
18
7
c.
d.
e.
A square has vertices at (0, 0) and (8, 8). Find the perimeter of the square.
a. 8
a _
b _
c _
d _
e
_
c. 8π
Which of the following is a pyramid?
b.
9.
e.
Find the x-intercept of the line 7x − 4y + 18 = 0.
b. − 92
a _
b _
c _
d _
e
_
e. 72
In the figure, find the difference between the circumference of the larger circle
and the circumference of the smaller circle?
a.
15.
d. 40
√
The volume
of a cube with edges 4 is how many times the volume of a cube
√
with edge 4 4?
√
√
a. 1
b. 2
c. 2
d. 4 4
e. 4
a. − 18
7
14.
c. 36
Which diagram is 25% shaded?
a.
11.
b. 18
8.
c. 24
d. 32
e. 64
Copyright (c) 1999 EAS EducAide Software Inc. All rights reserved. You may distribute this document freely, provided you do not alter it in any way or remove this copyright notice.
Note: this document was produced by EducAide’s Acces program. It contains problems from the MMA database. For more information, please call 800-669-9405 or visit www.educaide.com.
Acces format version 3.3H β
c 1997 EducAide Software
Licensed for use by (unregistered)
Introductory Algebra
Final Review
Ms. Francis
5/8/98
Answer List
1.
4.
7.
10.
13.
b
e
a
b
a
2.
5.
8.
11.
14.
e
e
c
c
e
2.
5.
8.
11.
14.
MMA
MMA
MMA
MMA
MMA
3.
6.
9.
12.
15.
c
a
c
c
d
3.
6.
9.
12.
15.
MMA
MMA
MMA
MMA
MMA
Catalog List
1.
4.
7.
10.
13.
MMA
MMA
MMA
MMA
MMA
AC 35
JD 18
LH 16
BH 12
PF 14
DE 35
KF 27
MD 58
OC 20
OA 5
EB 17
LF 7
MG 6
HD 31
PB 26