If 
a5 for a ≠ 0, which of the following statements must be true?
(F) x ≠ 0 and y ≠ 0
(G) x + y = 5
(H) x - y = 5
(J) xy = 5
(K) 
= 5
A recipe calls for cooking a turkey 1 hour for every 3 pounds it weighs. How long should a 19-pound turkey cook?
（A）6 hours and 15 minutes
（B） 6 hours and 20 minutes
（C） 6 hours and 30 minutes
（D） 6 hours and 33
minutes
（E） 6 hours and 40 minutes
Correct Answer: B
What is the determinant of the matrix 
?
(F) 0(G) 12(H) |0|(J) |6|(K) |12|
Correct Answer: G
Two hoses attached to separate water sources are available to fill a
cylindrical swimming pool. If both hoses are used, the time it will take
to fill the pool can be represented by the following equation: 
, where T1 and T2 represent the time needed for hoses 1 and 2, respectively, to fill the pool on their own, and Tc
represents the time needed for hoses 1 and 2 to fill the pool working
together. If hose 1 alone can fill the pool in exactly 20 minutes and
hose 2 alone can fill the pool in exactly 60 minutes, how many minutes
will it take to fill the pool if both hoses work simultaneously?
(A) 3 (B) 10 (C) 15 (D) 18 (E) 40
Correct Answer: C
More ACT Math Exam Questions
- 1A circle in the standard (x, y) coordinate plane is tangent to the x-axis at -a, and tangent to the y-axis at a, with a > 0. The radius of the circle is 4 units. What is the equation of the circle?
- 2
If x = -
and x = 
are the roots of the quadratic equation ax2 + bx + c = 0, then which of the following could represent the two factors of ax2 + bx + c? - 3What is the value of kif ?
- 4
Two similar triangles have perimeters in the ratio 5:6. The sides of the larger triangle measure 12 in, 7 in, and 5 in. What is the perimeter, in inches, of the smaller triangle?
- 5
Two values of v satisfy the equation |2v– 13| + 6 = 9. What is the sum of these values?