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ACT American College Testing: Math Section Sample Questions:

1. A line has a y-intercept of -6 and an x-intercept of 9.
Which of the following is a point on the line?

A) (-6, -10)
B) (6, 13)
C) (1, 3)
D) (0, 9)
E) (3, -8)

2. The population ( x ) of town ( y ) since 2000 can be estimated by the equation x = 1.0635 z + 3,250, where z is the number of years since 2000 and 0 ≤ z ≤ 20.
In the context of this equation, what does the number 1.0635 most likely represent?

A) The estimated population of town (y) in 2000.
B) The estimated population of town (y) in 2017.
C) The factor by which the population of town (y) has decreased annually.
D) The factor by which the population of town (y) has grown annually.

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

4. If 40% of j is equal to 50% of k, then j is:

A) 25% larger than k.
B) 10% larger than k.
C) 15% larger than k.
D) 20% larger than k.
E) 80% larger than k.

5. FILL BLANK
Robert is practicing for the long jump competition. His first four jumps measure 12.4 ft, 18.9 ft, 17.3 ft, and
15.3 ft, respectively.
If he averages 16.3 feet for his first five jumps, what is the length in feet of his fifth jump?

Solutions: