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ACT American College Testing: Math Section Sample Questions:

1. The equation |2x - 8| + 3 = 5 has 2 solutions.
Those solutions are equal to the solutions to which of the following pairs of equations?

A) 2x - 8 = 2 - (2x - 8) = 2
B) 2x - 8 = 8 - (2x - 8) = 8
C) 2x - 8 = 2 -2x - 8 = 2
D) 2x - 5 = 5 -2x - 5 = -5
E) 2x - 8 = 2 - (2x - 8) = 8

2. The length of an edge of a cube is equal to half the height of a cylinder that has a volume of 160π cubic units.
If the radius of the cylinder is 4 units, what is the surface area of the cube?

A) 96 square units
B) 125 square units
C) 100 square units
D) 150 square units
E) 64 square units

3. The statement "Raphael runs every Sunday" is always true.
Which of the following statements is also true?

A) If it is Sunday, then Raphael does not run.
B) If it is not Sunday, then Raphael does not run.
C) If it is Sunday, it is impossible to determine if Raphael runs.
D) If Raphael runs, then it is Sunday.
E) If Raphael does not run, then it is not Sunday.

4. If the height of a cylinder is doubled and the radius of the cylinder is halved, the volume of the cylinder:

A) becomes four times larger.
B) becomes twice as large.
C) remains the same.
D) becomes four times smaller.
E) becomes half as large.

5. FILL BLANK
Point A of rectangle ABCD is located at (-3, 12) and point C is located at (9, 5).
What is the area of rectangle ABCD?

Solutions: