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ACT American College Testing: Math Section Sample Questions:

1. The ABC Book Club charges a $40 monthly fee, plus $ 2 per book read in that month. The Easy Book Club charges a $35 monthly fee, plus $3 per book read in that month.
For each club, how many books must be read in 1 month for the total charges from each club to be equal?

A) 4
B) 75
C) 5
D) 6
E) 1

2. The graph of a function y = f ( x ) consists of 3 line segments.
The graph and the coordinates of the endpoints of the 3 line segments are shown in the standard ( x , y ) coordinate plane below.

What is the area, in square coordinate units, of the region bounded by the graph of y = f ( x ), the positive y -axis, and the positive x -axis?

A) 10
B) 20
C) 13
D) 15
E) 14

3. In the diagram above, ABCD is a square with an area of 100 cm 2 and lines BD and AC are the diagonals of ABCD.

If line EF is parallel to line BC and the length of line CF = 3√ 2 cm, which of the following is equal to the shaded area?

A) 78 cm2
B) 39 cm2
C) 25 cm2
D) 89 cm2
E) 64 cm2

4. FILL BLANK
The length of a room is three more than twice the width of the room. The perimeter of the room is 66 feet.
What is the length of the room?

5. The value of d is increased 50%, then decreased 50%.
Compared to its original value, the value of d is now:

A) 25% larger.
B) the same.
C) 25% smaller.
D) 50% larger.
E) 50% smaller.

Solutions: