ACT QUESTION

1
ACT QUESTION 1
If , then
? A. -15 B. -10 C. -5 D.
5 E. 33
2
ACT QUESTION 2
If , then x
? F. 0 G. 2 H. 4 J. 5 K. 7
3
ACT QUESTION 3
If , then x equals which of
the following? A. -2 B. -1 C. 0 D.
1 E. 2
4
ACT QUESTION 4
Which of the following inequalities is
equivalent to ? A. B. C. D.
E.
E. x ? 1
5
ACT QUESTION 5
Brandy has a collection of comic books. If she
adds 15 to the number of comic books in her
collection and multiplies the sum by 3, the
result will be 65 less than 4 times the number of
comic books in her collection. How many comic
books are in her collection ? F. 50 G.
85 H. 110 J. 145 K. 175
6
ACT QUESTION 6
When y x2, which of the following expressions
is equivalent to -y? F. (-x)2 G. -x 2
H. -x J. x -2 K. x
7
ACT QUESTION 7
If x gt y , which of the following is
the solution statement for x when y
-4? A. x is any real number
C. x lt 4 D. -4 lt x lt 4 E. x gt 4
or x lt -4
B. x gt 4
8
ACT QUESTION 8
The sides of a square are 3 cm long. One vertex
of the square is at (3,0) on a square coordinate
grid marked in centimeter units. Which of the
following points could also be a vertex of the
square ? F. (6, 0) G. (4½, 1½) H.
(1, 2) J. (0, -2) K. (-3, 0)
9
ACT QUESTION 9
The perimeter of a parallelogram is 72 inches,
and 1 side measures 12 inches. What are the
lengths, in inches, of the other 3 sides? F.
12, 12, 36 G. 12, 18, 18 H. 12, 24,
24 J. 12, 30, 30 K. Cannot be determined
from the given information
10
ACT QUESTION 10
To increase the mean of 4 numbers by 2, by how
much would the sum of the 4 numbers have to
increase ? F. 2 G. 4 H. 6 J.
8 K. 16
11
ACT QUESTION 11
John Jones has decided to go into the business of
producing and selling boats. In order to begin
this venture, he must invest 10 million in a
boat production plant. The cost to produce each
boat will be 7,000, and the selling price will
be 20,000. Accounting for the cost of the
production plant, which of the following
expressions represents the profit, in dollars,
that John will realize when x boats are produced
and sold? F. 13,000x-10,000,000 G.
27,000x-10,000,000 H. 9,973,000x J.
20,000x K. 13,000x
12
ACT QUESTION 12
If 7 3x 22, then 2x ? A. 5
B. 10 C. 12 D. 14
E.
13
ACT QUESTION 13
At which y-coordinate does the line described by
the equation intersect the
y-axis? F. 18 G. 9 H. 6 J.
3 K. 2
14
ACT QUESTION 14
Line t in the standard (x,y) coordinate plane has
a yintercept of 3 and is parallel to the line
having the equation .
Which of the following is an equation for line t
? A. D. B. C.
15
ACT QUESTION 15
Line m passes through the point (4,3) in the
standard (x,y) coordinate plane, and is
perpendicular to the line described by the
equation . Which of the
following equations describes line m ? F.
J. G. H.
16
ACT QUESTION 16
What is the slope of the line described by the
equation ? A.
-2 B. D. 2 E. 3
17
ACT QUESTION 17
If , which of the following
equations expresses x in terms of y, m, and b?
D. B. E. C.
18
ACT QUESTION 18
In the standard (x,y) coordinate plane shown in
the figure below, points A and B lie on line m,
and point C lies below it. The coordinates of
points A, B, and C are (0,5), (5,5), and (3,3),
respectively. What is the shortest possible
distance from point C to a point on line m ? F.
2 G. H. 3 J. K. 5
y
B
A
m
C
x
19
ACT QUESTION 19
Points A and B lie in the standard (x,y)
coordinate plane. The (x,y) coordinates of A are
(2,1) and the (x,y) coordinates of B are (-2,-2).
What is the distance from A to B ? F.
G. H. 5 J. 6 K. 7
20
ACT QUESTION 20
What is the slope of any line parallel to the
line 8x 9y 3 in the standard (x,y)
coordinate plane ? F. -8 H. J.
3 K. 8
21
ACT QUESTION 21
For the function , what is the
value of ? A. -93 B.
-9 C. 21 D. 51 E. 159
22
ACT QUESTION 22
? F.
-28 G. -13 H. 13 J. 28 K. 29
23
ACT QUESTION 23
Television screen sizes are the diagonal length
of the rectangular screen. Hector recently
changes from watching television with a 13-inch
screen to a television with a similar 19-inch
screen. If a boxcar appeared 8 inches long on
the 13-inch screen, how long, to the nearest
inch, will it appear on the 19-inch screen? F.
10 G. 12 H. 14 J. 16 K. 18
24
ACT QUESTION 24
Which of the following systems of equations does
NOT have a solution? F. x 3y 19 J. x
3y 19 3x y 6 3x y 6
G. x 3y 19 x - 3y 13
H. x - 3y 19 3x y 7

• x 3y 6
• 3x 9y 7

25
ACT QUESTION 25
Which of the following expressions has a
positive value for all x and y such that x gt 0
and y lt 0? F. G. H. J.
26
ACT QUESTION 26

If is an odd integer, which of the following
could be a value of n? D. B. E.
C.
27
ACT QUESTION 27
The average of six numbers is 10, and the
average of ten other numbers is 6. Find the
average of all sixteen numbers. F. 8 G.
7.5 H. 11 J. 16 K. 10
28
ACT QUESTION 28

Kirsten can wash her car in 15 minutes, while her
younger brother Dave takes twice as long to do
the same job. If they work together, how many
minutes will the job take them? F.
5 G. 7 ½ H. 10 J. 22 ½ K. 30