Home->ACT Math

A circle is inscribed in a square, as shown below. If x is the distance from the center of the circle to a vertex of the square, then what is the length of the radius of the circle, in terms of x?

(A) 2x

(B) x

(C) x

(D)

(E) Cannot be determined from the information given

The table below shows the percents of U.S. citizens who had ever consumed a certain brand-name soda, out of all soda consumers, for each year from 1986 through 2006.

The figure below shows a scatterplot of the data in the table and solid lines that are possible models for the data. Which of the 5 lines appears to be the best representation of the data?

(A) A (B) B (C) C (D) D (E) E

Correct Answer: D

Whenever a > 0, which of the following real number line graphs represents the solutions for x to the inequality |x - a|≤?

(F) (G) (H) (J) (K)

Correct Answer: K

An angle in the standard (x,y) coordinate plane has its vertex at the origin and its initial side on the positive x-axis. If the measure of an angle in standard position is (1,314°), it has the same terminal side as an angle of each of the following measures EXCEPT:

(F) 594° (G) 314° (H) 234° (J) -126° (K) -486°

Correct Answer: G