In the figure below, C and D are both on the measure of BAC is equal to the measure of DAE and the measure of ACD is equal to the measure of ADC. Which of the following statements must be true?

(Note: The symbol ≅ means "is congruent to.")

(F) ABC is similar to AED.

(G) The areas of triangles ACD and ADE are equal.

(H)

(J)

(K) and are perpendicular.

In the real numbers, what is the solution of the equation 9^{x-4} = 27^{3x + 2}?

（A） （B） -2 （C） -3 （D） （E） -4

**Correct Answer: B**

If 6x^{2} + x - c = (cx - 1)(3x + 2), what is the value of c?

（A）-2 （B） -1 （C） 2 （D） 3 （E） 6

**Correct Answer: C**

What is the value of when *x* = -3 and *y* = -4?

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

**Correct Answer: J**

### More ACT Math Exam Questions

- 1
Given the figure below, what is the area of the trapezoid, in square inches?

- 2
If , what is the value of a?

- 3If the equation x2+ mx+ n= 0 has two solutions, x = kand x = 2k,what is the value of mnin terms of k?
- 4
Three different functions are defined in the table below.

The diagram below uses three functions. The only values for p, q, r, s, and t are 1 and 0. Which of the following inputs (p, q, r, s, t) will produce the output 0?

- 5
Which of the following is a possible solution for x in terms of k for the equation ?