In the Cartesian plane, a line runs through points (1,-5) and (5,10). Which of the following represents the slope of that line?

(A)

(B)

(C) 1

(D)

(E)

Given the functions f and g are defined as f(a) = 3a - 4 and g(a) = 2a^{2} + 1 what is the value of f(g(a))?

（A）6a^{2} - 1
（B） 6a^{2} - 3
（C） 2a^{2} + 3a - 3
（D） -2a^{2} + 3a + 3
（E） 18a^{2} - 48a + 33

**Correct Answer: A**

In the figure below, square ABCD has a side length of 6 inches, and squares AEFG and CHIJ each have a side length of 1 inch. What is the area, in square inches, of the shaded pentagon DGFIJ?

（A）9 （B） 12.5 （C） 17 （D） 18 （E） 20.5

**Correct Answer: C**

The width of a rectangle is 27 feet and the length is 36 feet. What is the length of a diagonal of the rectangle in feet?

（A）63 （B） 54 （C） 45 （D） 42 （E） 36

**Correct Answer: C**

### More ACT Math Exam Questions

- 1What is the length, in feet, of the hypotenuse of a right triangle with legs that are 8 feet long and 9 feet long, respectively?
- 2In the figure below, triangles ABC and ABX are both right triangles. If the length of is 6 units, the length of is 10 units, and the length of is 4 units, what is the length of ?
- 3Δ ABC is similar to Δ XYZ. AB is 5 inches long, BC is 8 inches long, and AC is 3 inches long. If the longest side of Δ XYZ is 20 inches long, what is the perimeter, in inches, of Δ XYZ ?
- 4If the values of s and t are directly proportional and s = 8 when t = 10, then what is the value of s when t = 15 ?
- 533r
^{2}- 24r + 75 - 41r^{2}+ r is equivalent to: