## For all real numbers m and n such that the product of m and 4 is n, which of the following expressions represents the sum of m and 4 in terms of n ?

(A)n + 4

(B) 4n + 4

(C) 4 (n + 4)

(D)

(E) + 4

A rock band, The Young Sohcahtoans, is trying to design a t-shirt logo. The measurements they have chosen are represented on the figure below. The angle to the right of the logo "TYS" has a degree measure of 35°, and the side of the figure has a measure of 10 in. Which of the following expressions gives the measure, in inches, of the diagonal top side of the figure?

(A) 10 tan 35° (B) 10 cos 35° (C) 10 sin 35° (D) (E)

**Correct Answer: D**

In the diagram, is parallel to . The measure of PCD = 37° and the measure of BPD is 40°. What is the measure of CPD?

（A）100° （B） 103° （C） 106° （D） 140° （E） CANNOT be determined.

**Correct Answer: B**

As shown in the (*x*,*y*,*z*) coordinate space below, the cube with vertices *L* *through* *S* has edges that are 2 coordinate units long. The coordinates of *Q* are (0,0,0), and *S* is on the positive *x*-axis. What are the coordinates of *O*?

(F) (2,0,2) (G) (2,2,2) (H) (J) (K)

**Correct Answer: H**

### More ACT Math Exam Questions

- 1(x
^{4})^{15}is equivalent to: - 2The nth term of an arithmetic sequence, a
_{n}, is given by a_{n}= a_{1}+ dn - d, where a_{1}is the 1st term, and d is the common difference between terms. Which of the following expressions gives d in terms of a_{n}, a_{1}, and n ? - 3
The expression 9(y + 3) - 2(4y - 4) is equivalent to:

- 4When f(a) = a
^{2}+ 2a + 5, what is the value of f(a + b)? - 5
If log9

*n*= and n > 0, what is the value of ?