Download Test - FloridaMAO

February 2007
Regional
Algebra I Individual Test
No Calculator use is allowed on this test
NOTA means “ None of These Answers is correct”
1.
Simplify (5 x 2  7 x  3)  (7 x 2  3x  5)
a)  2x 2  4x  8
2.
3.
4.
1
Simplify the expression 24  3  1  4   8
2
a) -58
b) -55
c) -7
d) 8
b) 2 x  y  7
c) 2 x  y  7
e) nota
d) 2 x  y  7
e) nota
b) 36 x 20 y 12 z 7
c) 72 x15 y 6
d) 72 x 20 y 12 z 7
e) nota
Find the value of the expression 3x  2 y for the solution ( x, y) of the system:
b) 10
c) 4
If f ( x)  2 x  4 , g ( x)   x 2  3 , and h( x) 
a) 5/6
8.
e) nota
Find the greatest common factor of 144 x15 y 12 z 7 and 216 x 20 y 6
a) 11
7.
d)  2 x 2  4 x  2
Find the equation of the line containing the point (5, 3) and parallel to the line y  2 x  4 .
a) 36 x15 y 6 z
6.
c) x 2  2 x  1
Shreya has taken 5 tests and their average is 92. What is the lowest grade she can make on the next test
and still have an average of at least 90?
a) 75
b) 80
c) 82
d) 88
e) nota
a) 2 x  y  7
5.
b)  2 x 2  10 x  2
b) 3/2
2x  y  7
3y  8  x  2
d) -2
e) nota
x3
, find the value of f ( g (2))  h( f (1))
x
c) 2
5
/2
e) nota
d) k< 24
e) nota
d)
For what values of k does 2x 2  kx  3k  0 have no real solutions?
a)
k < 0 or k > 24
b) 0 < k < 24
c) k < 24
9.
A certain linear function contains the points (2, -3), (5, -5), and (-1, -1). Find the equation for the
inverse of this function.
a) 2 x  3 y  12
10.
c) 2 x  78
d) 8 x  62
e) nota
b) -4
c) -3
d) 11
e) nota
b) 15
c) 16
d) 17
e) nota
b) 16 x 2  12 x
c) 4 x  3
d) 8 x  6
e) nota
c) 3
d) 13
e) nota
Solve for x: 32 2 x1  4  83x2
a) -3
15.
b)  2 x  18
If the area of a square can be represented by the expression 16 x 2  24 x  9 , then what is the expression
for the perimeter of this square?
a) 16 x  12
14.
e) nota
Pratik is one year older than Roshan. In six years, Pratik will be twice as old as Roshan was 5 years
ago. How old is Pratik now?
a) 14
13.
d) 3x  2 y  5
Find the sum of the integer solutions of  9  2 x  1  5 .
a) -15
12.
c) 3x  2 y  7
10  85(3  4 x)  3(7 x  8)
Simplify the expression
a)  2 x  78
11.
b) 2 x  3 y  5
b)
-17
/13
x  2 y 11

xy
12
x
What is the value of
for the ordered pair (x, y) that is the solution of the system:
?
2x  3y 2
y

xy
3
a)
-17
/14
b)
-14
/17
c)
14
/17
d)
17
/14
e) nota
16.
Find the sum of four consecutive odd integers if the sum of the first and third is 50.
a) 100
17.
Simplify
a)
18.
b) 102
4b 6
5a 3
5c 4
b) 330
c)
2b 2 c 5
3a 3
2b 6 c 4
d)
3a 3
e) nota
22  60  66  30 completely into the form a b , find the value
c) 220
d) 110
e) nota
b) -24
c) -16
d) 2
e) nota
What is the square of the difference of the roots of 12 x 2  5x  4 x  6 ?
1
/144
b)
17
/12
c) 1/12
d)
289
/144
e) nota
How many times does the digit 4 appear in the page numbers of a book which has 150 pages?
b) 34
c) 35
d) 36
e) nota
Find the y-intercept of the line which is perpendicular to 4 x  3 y  6 and which passes through the
x-intercept of 3x  2 y  6 .
a)
23.
4a 3 b 6
What is the smallest coefficient of any variable term in the expanded and simplified product:
(3x 2  2 x  5)(5 x 2  4 x  2) ?
a) 33
22.
b)
After simplifying the expression
of a  b .
a)
21.
e) nota
225 a10b 6 c
a) -39
20.
d) 108
180 a 7 b12c 5
a) 660
19.
c) 104
-3
/2
If a # b = a 2 
a)
31
/2
b) - ¾
c) ¾
d)
4
/3
e) nota
a
, find the value of (4) # (3 # 3).
b
b)
46
/3
c) 15
d) 0
e) nota
24.
Find the difference in simplified form:
a)
 5x  1
b)
x  2 x  15
2
2
5x  1
 2
x  3 x  2 x  15
 3( x  2)
x  2 x  15
2
c)
3
x5
d)
3
x5
e) nota
c)
2x  5
x 1
d)
2x  5
x 1
e) nota
c)
41 10
20
d)
23 10
10
e) nota
x 2  25
25.
2
Simplify the complex fraction: x 2  4 x  5
x  6x  5
2 x 2  3x  5
a)
26.
Simplify:
a)
27.
x 1
2x  5
b)
40 
2
5

5
2
13 10
10
b)
b) 0
 2x 6 y 4
Simplify:  2 7
 5x y

a)
29.
256 x11
y9
c) 2
5
  10 x 5 y 3 
 

  x8 y 
 

b)
d) 5
e) nota
3
256 x11
25 y 9
c)
32 x 35
5y9
d)
32 x11
25 y 9
e) nota
A canoeist traveled 15 miles upstream in 5 hours. He then traveled the same distance back downstream
in one hour and 40 minutes. How long would it take the canoeist to paddle 20 miles in still water if he
rowed at the same rate in all these situations?
a) 4 hrs
30.
17 10
10
Factor 12 x 2  41x  24 into the form (Ax +B)(Cx + D). What is the value of A + B + C + D?
a) -4
28.
x 1
2x  5
b) 3 hr 40 min
c) 3 ½ hr
d) 3 hr 20 min
e) nota
What is the coefficient of the linear term of the quotient: 2 x  1 6 x 2  9 x  17 ?
a) -3
b) 2
c) 3
d) 6
e) nota