AFQT Mathematics Knowledge Advanced 2

Question 1

What is the value of x in the equation 3x² - 12 = 0?

Accepted Answer

x = ±2

Answer

Divide both sides by 3 to get x² = 4, so x = ±2.

Question 2

A triangle has sides of length 5, 12, and 13. What type of triangle is it?

Accepted Answer

Right

Answer

Since 5² + 12² = 25 + 144 = 169 = 13², it satisfies the Pythagorean theorem.

Question 3

Simplify: (2x³y²)(3x²y⁴)

Accepted Answer

6x⁵y⁶

Answer

Multiply coefficients (2×3=6) and add exponents: x^(3+2)=x⁵ and y^(2+4)=y⁶.

Question 4

What is the slope of a line perpendicular to y = 4x − 3?

Accepted Answer

-1/4

Answer

Perpendicular slopes are negative reciprocals; the reciprocal of 4 is 1/4, negated gives -1/4.

Question 5

What is the sum of the interior angles of a hexagon?

Accepted Answer

720°

Answer

Using the formula (n-2)×180°, a hexagon has (6-2)×180° = 720°.

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