Home->ACT Math

What is the slope of a line on a standard xy-plane that passes through the point (1, 3) and (4, –3)?

(A) –1

(B) 2

(C) –2

(D)

(E)

Which of the following is the set of real solutions for the equation 9x + 12 = 3(3x + 4)?

(F) The set of all real numbers (G) {0,1} (H) {0} (J) (K) The empty set

Correct Answer: F

For some real number a, the graph of y = (a + 3)x + 5 in the standard (x, y) coordinate plane passes through the point (3, 11). What is the slope of this line?

（A）-5 （B） -2 （C） -1 （D） 2 （E） 5

Correct Answer: D

In the following figure, each circle is tangent to the other two circles, and the two shaded circles are identical to each other. What is the ratio of the shaded region to the nonshaded region?

(A) 1:01(B) 4:05(C) 5:04(D) 4:π(E) π:4

Correct Answer: A