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

(A)a^{2} + b^{2} + 2ab + 5

(B) a^{2} + b^{2} + 2a + 2b + 10

(C) a^{2} + b^{2} + 2a + 2b + 5

(D) (a + b)^{2} + a + b + 5

(E) (a + b)^{2} + 2a + 2b + 5

The coordinates of the vertices of *MON* are shown in the standard (*x*,*y*) coordinate plane below. Rectangle *MPQR* is shown shaded. Point *P* lies on , point *Q* lies on , and point *R* lies on .

What is the value of cos (*MON*)?

(A) (B) (C) 2 (D) (E)

**Correct Answer: B**

What is a possible value of *x*if ?

(A) (B) (C) (D) (E)

**Correct Answer: A**

If a is a factor of 32 and b is a factor of 45, the product of a and b could NOT be which of the following?

(F) 1,440(G) 288(H) 80(J) 54(K) 1

**Correct Answer: J**

### More ACT Math Exam Questions

- 1
The difference of 2 integers is 6. The sum of the same 2 integers is 42. What is the lesser of the 2 integers?

- 2
Let x, y, and z be distinct positive integers. What is the fourth term of the geometric sequence below?

2xz, 2x

^{2}yz, 2x^{3}y^{2}z,… - 3
In the following figure, the circle centered at

*n*has a radius of 4. What is the area of the shaded region? - 4
If

*x*and*y*are real numbers and 0 <*x*<*y*< , which of the following gives the set of all values which could have? - 5Which of the following are the coordinates of the image of J under a 90° clockwise rotation about the origin?