Consider the exponential equation y = 
, where K and p are positive real constants and x is a positive real number. The value of y decreases as the value of x increases if and only if which of the following statements about p is true?
(F) 0 < p < 1
(G) 1 < p < 2
(H) p > -1
(J) p > 0
(K) p > 1
Let a
b = (-2a - b)2 for all integers a and b. Which of the following is the value of ?
(F) -15 (G) -2 (H) 49 (J) 91 (K) 109
Correct Answer: H
Which of the following are the coordinates of the image of J under a 90° clockwise rotation about the origin?
（A）(-4,0) （B） (0,-4) （C） (0,0) （D） (0,4) （E） (4,0)
Correct Answer: A
Whenever a, b, and c are positive real numbers, which of the following expressions is equivalent to 
(A) 
(B) 
(C) 
(D) log4(a - c) - log8 2b
(E) log4(a - c) - log8b2
Correct Answer: A
More ACT Math Exam Questions
- 1Given that m and n are parallel lines, T is a transversal crossing both m and n, and m
b = 100°, what is the measure of e?
- 2
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?
- 3Beth got a job painting dorm rooms at her college. At top speed, she could paint 5 identical rooms during one 6-hour shift. How long did she take to paint each room?
- 4
Pat's Pastries baked 80 apple pies and 50 loaves of apple bread to be sold at a 2-day Fall Festival. The pies were sold for $25 each and the loaves of bread were sold for $10 each. Which of the following expressions gives the total amount of money, in dollars, collected from selling all of the apple pies and B of the loaves of bread?
- 5
Whenever x and y are both integers, what is (6.0 × 10x)(5.0y × 10y)expressed in scientific notation?