By Rod Powers

Many of the algebra and geometry questions on the ASVAB AFQT require you to plumb the depths of your memory for a specific mathematical formula. If you can’t remember it, you’re going to have a tough time coming up with the right answer.

In the following practice exercise, you need to match each type of problem with the appropriate formula to solve it. Make sure you’ve connected the right pairs by checking your answers under “Answers and explanations.”

Practice exercise

ASVAB_AFQT_1701

Answers and explanations

  1. The correct answer is Choice C.

    The quadratic equation is

    ASVAB_AFQT_1702

  2. The correct answer is Choice D.

    The formula to find the area of a triangle is

    ASVAB_AFQT_1703

    where A represents area, b represents the length of the base, and h represents the triangle’s height.

  3. The correct answer is Choice E.

    The formula for slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. In this formula, x and y represent coordinate points.

  4. The correct answer is Choice A.

    The formula to find the area of a circle is

    ASVAB_AFQT_1704

    where A represents area and r represents the circle’s radius (the distance, in a straight line, from the circle’s center to its outer edge).

  5. The correct answer is Choice B.

    The formula to find the volume of a rectangular prism is V = lwh, where V represents volume, l represents length, w represents width, and h represents height.