The expression 23fg - 6f(5f +3g) is equivalent to:
(F) 5fg - 30f2
(G) 25fg
(H) 3g - 7fg
(J) 41fg - 30f2
(K) 30f2 - 5fg
In the figure below, where ABC ~ XYZ, lengths are given in inches and the perimeter of ABC is 576 inches. What is the length, in inches, of ?
(Note: The symbol ~ means "is similar to.")
(A) (B) 144 (C) (D) 192 (E) 240
Correct Answer: D
What is the area, in square inches, of the figure shown below?
(A)24 (B) 32 (C) 36 (D) 42 (E) 72
Correct Answer: C
A photocopy machine enlarges a small triangle to produce a larger, similar triangle, as shown below. If the lengths of the sides, in inches, are as marked on the figure, and the triangles are similarly oriented, what is the value of x in inches?
(A)7 (B) 9 (C) 9 (D) 9 (E) 11
Correct Answer: D
More ACT Math Exam Questions
- 1
The table below details a recent census report about the commuting habits of U.S. workers age 16 or over for the years 2004, 2005, and 2006.
To the nearest percent, what percent of all U.S. workers age 16 or over in 2004 was female?
- 2What is cos given that = + and that cos (a+b) = cos a (cos b) - sin a (sin b)? (Note: You may use the following table of values.)
- 3
A graduation cap is tossed upward. It is f feet above the ground s seconds after it has been thrown. The relationship between f and s is given by the equation f = 60s - 17s2 where 0 ≤ s ≤ 3.5. How many feet above the ground is the cap 3 seconds after it is thrown?
- 4Which of the following lists contains only prime numbers?
- 5
Every week, Donald records the amount of mileage that has accumulated on his truck. On Monday, Donald recorded that he had driven 16,450 kilometers. After a week of deliveries, his new recording was 18,130 kilometers. He drove for thirty hours during that week. What was his average driving speed during that week to the nearest kilometer per hour?