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

2. Mikea, an intern with the Parks and Recreation Department, is developing a proposal for the new a trapezoidal Springdale Park. The figure below shows her scale drawing of the proposed park with 3 side lengths and radius of the merry-go-round given in inches. In Mikea's scale drawing, 1 inch represents
1.5 feet.

What is the area, in square inches, of the scale drawing of the park?

A) 1,088
B) 672
C) 640
D) 544
E) 448

3. It takes eight people 12 hours to clean an office.
How long would it take six people to clean the office?

A) 16 hours
B) 9 hours
C) 15 hours
D) 24 hours
E) 18 hours

4. For what value of x is the equation 22x + 7 = 215 true?

A) 2
B) 44
C) 16
D) 4
E) 11

5. What is the equation of the line that passes through the points (2, 3) and (-2, 5)?

A)

B) y = x + 1
C)

D)

E)

Solutions: