AFCT Mathematics Knowledge

Question 1

What is the value of x if 2x + 6 = 18?

Accepted Answer

x = 6

Answer

Subtracting 6 from both sides gives 2x = 12, then dividing by 2 yields x = 6.

Question 2

Which of the following is the correct factorization of x² - 9?

Accepted Answer

(x + 3)(x - 3)

Answer

x² - 9 is a difference of squares, which factors as (x + 3)(x - 3).

Question 3

If 3y - 4 = 2y + 7, what is the value of y?

Accepted Answer

y = 11

Answer

Subtracting 2y from both sides gives y - 4 = 7, then adding 4 gives y = 11.

Question 4

What is the slope of the line represented by y = 3x - 5?

Accepted Answer

3

Answer

In slope-intercept form y = mx + b, the coefficient of x is the slope, which is 3.

Question 5

Simplify: (3x²)(4x³)

Accepted Answer

12x⁵

Answer

Multiply the coefficients (3 × 4 = 12) and add the exponents (2 + 3 = 5) to get 12x⁵.

(AFCT) Armed Forces Classification Test Practice Test