The function *g*(*x*) = *x*^{4}- 2*x*^{3}- 6*x*^{2}– *x* + 5 and line *h* are shown in the standard (*x*,*y*) coordinate plane below. Which of the following is an equation of line *h*, which passes through (-1,3) and (2,-21)?

(F) -8x - 5

(G) -8x + 5

(H) -9x + 5

(J) -9x - 5

(K) -6x - 5

For all real numbers *s*, *t*, *u*, and *v*, such that *s* + *t* + *u* = 29 and *s* < *v*, which of the following statements is true?

(A) s + t + v < 29 (B) t + u + v > 29 (C) s + t + v = 29 (D) s + u + v = 29 (E) s + t + v > 29

**Correct Answer: B**

Salvador is trying to scale his rectangular self-portrait down to postcard size. The painting is 9 feet wide by 16 feet long. He is using a scale of inch = 1 foot for the postcard-sized self-portrait. What will be the dimensions, in inches, of Salvador's postcard-sized self-portrait?

(F) 1 by 4 (G) 3 by 5 (H) 3 by 4 (J) 27 by 48 (K) 36 by 64

**Correct Answer: G**

For all xy ≠ 0, and when both x and y are greater than 1, the expression equals which of the following?

（A） （B） （C） 1 （D） （E）

**Correct Answer: D**

### More ACT Math Exam Questions

- 1
The measure of the sum of the interior angles of a regular

*n*-sided polygon is (*n*- 2)180°. A regular octagon is shown below. What is the measure of the designated angle? - 2In the figure shown below, bisects BAD, and bisects CAE What is the measure of CAD?
- 3
The point (24,3) on a standard (

*x*,*y*) coordinate plane is halfway between points (*z*,2*z*+ 1) and (15*z*,*z*- 4). What is the value of*z*? - 4In ABC, the measures of A, B, and C are 2x°, 3x°, and 5x°, respectively. What is the measure of C?
- 5
For the first several weeks after hiring a private tutor, Teddy's score on a standardized test increased slowly. As Teddy began to understand the concepts more clearly, though, his standardized test scores improved more rapidly. After several more weeks, Teddy stopped working with his tutor and his scores did not improve any more. Which of the following graphs could represent all of Teddy's standardized test scores as a function of time, in weeks, after he hired a private tutor?