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ACT American College Testing: Math Section Sample Questions (Q104-Q109):

NEW QUESTION # 104

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. s 2 + 4rt < 0
  • C. s 2 - 4rt > 0
  • D. r 2 - 4st < 0
  • E. r 2 + 4st > 0

Answer: E



NEW QUESTION # 105

If x is more than one-third the value of y, which of the following expresses the value of y in terms of x?

  • A. y = (x - 2) / 3
  • B. y = (x + 2) / 3
  • C. y = 3 × (x - 6)
  • D. y = 3 × (x - 2)

Answer: D



NEW QUESTION # 106

8% of 60 is 1/5 of what number?

  • A. 0.96
  • B. 0
  • C. 3,750
  • D. 1
  • E. 2

Answer: D



NEW QUESTION # 107

If the lengths of the edges of a cube are decreased by 20%, the surface area of the cube will decrease by:

  • A. 120%.
  • B. 40%.
  • C. 51%.
  • D. 36%.
  • E. 20%.

Answer: D



NEW QUESTION # 108

John took out a cash advance of x dollars from a financing company. The company deducts a fee of 1/4 of the original advanced amount along with a transfer fee of $25.

Which of the following represents the final advanced amount that John receives after all applied fees in dollars?

  • A. 3/4x - 25
  • B. 1/4 × (x - 25)
  • C. 3/4 × (x - 25)
  • D. 1/4x - 25

Answer: A



NEW QUESTION # 109

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