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ACT American College Testing: Math Section Sample Questions:

1. You are given the following system of equations:
y = x 2
rx + sy = t
where r, s, and t are integers.
For which of the following will there be more than one (x, y) solution, with real-number coordinates, for the system?

A) s 2 - 4rt > 0
B) r 2 + 4st > 0
C) s 2 - 4rt < 0
D) s 2 + 4rt < 0
E) r 2 - 4st < 0

2. FILL BLANK

The graph above shows the sales by month for the Greenvale and Smithtown branches of SuperBooks. From January through May, how much more money did the Smithtown branch gross in sales than the Greenvale branch?

3. If 3 x - y = 2 and 2 y - 3 x = 8, which of the following is equal to x / y ?

A)

B) 2/5
C) 6
D) 2/3
E) 4

4. A pair of Jump sneakers costs $60 and a pair of Speed sneakers costs $45.
For the two pairs of sneakers to be the same price

A) the price of a pair of Speed sneakers must increase by 15%.
B) the price of a pair of Jump sneakers must decrease by 25%.
C) the price of a pair of Speed sneakers must increase by 25%.
D) the price of a pair of Jump sneakers must decrease by 33%.
E) the price of a pair of Jump sneakers must decrease by 15%.

5. 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) 448
B) 672
C) 1,088
D) 640
E) 544

Solutions: