What value must be added to 9x2 - 30x in order to complete the square (that is, make it a perfect square trinomial)?
(A)-5
(B) 5
(C) 9
(D) 25
(E) 45
For all real numbers x and y such that the product of y and 4 is x, which of the following expressions represents the sum of y and 4 in terms of x?
（A）x + 4
（B） 4x + 4
（C） 4(x + 4)
（D） 
（E） 
Correct Answer: E
Which of the following is a complete factorization of the expression 12b2c + 6bc + 3b?
(A) 4bc + 2c + 1 (B) 3b (9bc + 2c + 1) (C) 3b (4bc + 2c + 1) (D) 3b (4bc + 2c) (E) 6bc (2b + 6) + 3b
Correct Answer: C
In isosceles triangle 
ACE, shown below, B and D are the midpoints of congruent sides 
and 
respectively. 
ABE measures 95°, and DAE measures 35°. What is the measure of DEB?
（A）50° （B） 30° （C） 25° （D） 15° （E） 10°
Correct Answer: D
More ACT Math Exam Questions
- 1
For all real numbers s, t, u, and v, such that s + t + u = 29 and s < v, which of the following statements is true?
- 2
A right triangle has sides measuring 12 inches, 35 inches, and 37 inches. What is the cosine of the angle that lies opposite the 35-inch side?
- 3Find two arithmetic means between 11 and 26 such that the difference between consecutive numbers is the same: 11,________ ,________, 26
- 4A square and a regular pentagon (a 5-sided polygon with congruent sides and interior angles) have the same perimeter. One side of the pentagon measures 20 inches. How many inches long is one side of the square?
- 5
If the first day of the year is a Monday, what is the 260th day?