At 10:00, Angela starts from her home and runs at a constant pace to Kathleen’s house, which is exactly 2 miles away. Immediately, she and Kathleen turn around and walk back to Angela’s house exactly 4 miles an hour slower than Angela ran. When they arrive at Angela’s house, the time is 10:45. At what speed did Angela run?
(F) 6 miles per hour
(G) 6.5 miles per hour
(H) 7 miles per hour
(J) 7.5 miles per hour
(K) 8 miles per hour
For all is equivalent to:
(A)-1 (B) (C) 1 (D) (E)
Correct Answer: E
What is the determinant of the matrix ?
(F) 0(G) 12(H) |0|(J) |6|(K) |12|
Correct Answer: G
If the equation x2+ mx+ n= 0 has two solutions, x = kand x = 2k,what is the value of mnin terms of k?
(A) 2k2(B) –2k2(C) –2k3(D) 6k3(E) –6k3
Correct Answer: E
More ACT Math Exam Questions
- 1
The graph below shows the function f(x) in the coordinate plane. Which of the following choices best describes the domain of this function?
(Note: The domain is defined as the set of all values of x for which a function is defined.)
- 2What is the solution set for the equation |-x| = x?
- 3A sample of 300 jellybeans was removed from a barrel of jellybeans. All
of the jellybeans in the barrel are one of four colors: red, orange,
green, and purple. For the sample, the number of jellybeans of each
color is shown in the table below.
Color Number of jellybeans red 75 4Two variables, vand w,are inversely proportional such that when v= 7, w= 14. What is the value of wwhen v= 2? - 5
If , then n =
- 5