Home->ACT Math

If pq= 3, then p³q⁴+ p⁴q⁵=

(A) 12q

(B) 7p+ 9q

(C) 12p+ 20q

(D) 96p

(E) 108q

In the grid shown below, each small square has a side length of 1 unit. In the shaded region, each vertex lies on a vertex of a small square. What is the area, in square units, of the shaded region?

(A) 35 (B) 25 (C) 24 (D) 19 (E) 13

Correct Answer: D

For each of 3 years, the table below gives the number of different routes a runner ran, the number of runs she ran, and the total number of miles she ran.

To the nearest tenth of a mile, what is the average number of miles the runner ran per run in 2005?

(A) 2.5 (B) 2.6 (C) 3.2 (D) 4.8 (E) 5

Correct Answer: C

Amber decides to graph her office and the nearest coffee shop in the standard (x,y) plane. If her office is at point (-1,-5) and the coffee shop is at point (3,3), what are the coordinates of the point exactly halfway between those of her office and the shop? (You may assume Amber is able to walk a straight line between them.)

(F) (1,-1) (G) (1, 4) (H) (2,-1) (J) (2, 4) (K) (2, 0)

Correct Answer: F