Home->ACT Math

In the real numbers, what is the solution of the equation 9^x-4 = 27^{3x + 2}?

(A)

(B) -2

(C) -3

(D)

(E) -4

Erin and Amy are playing poker. At a certain point in the game, Erin has 3 more chips than Amy. On the next hand, Erin wins 4 chips from Amy. Now how many more chips does Erin have than Amy?

(F) 1(G) 4(H) 7(J) 11(K) 14

Correct Answer: J

If , then a=

(A) (B) b(C) b²(D) b⁴(E) b⁸

Correct Answer: C

Which one of the following expresses the number of meters that a contestant must travel in a 5-lap race around a circular track with a radius of R meters?

（A）5R （B） 5πR （C） 5πR² （D） 6R （E） 10πR

Correct Answer: E