ASVAB Math Knowledge Practice Test 379500 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.11
Score	0%	62%

Review

Solve for y:
y² - 12y + 32 = 0

59% Answer Correctly

	-2 or -5
	4 or 8
	4 or 3
	2 or -2

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

y² - 12y + 32 = 0
(y - 4)(y - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y - 4) or (y - 8) must equal zero:

If (y - 4) = 0, y must equal 4
If (y - 8) = 0, y must equal 8

So the solution is that y = 4 or 8

Which of the following statements about a triangle is not true?

58% Answer Correctly

	area = ½bh
	sum of interior angles = 180°
	exterior angle = sum of two adjacent interior angles
	perimeter = sum of side lengths

Solution

A triangle is a three-sided polygon. It has three interior angles that add up to 180° (a + b + c = 180°). An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite (d = b + c). The perimeter of a triangle is equal to the sum of the lengths of its three sides, the height of a triangle is equal to the length from the base to the opposite vertex (angle) and the area equals one-half triangle base x height: a = ½ base x height.

The endpoints of this line segment are at (-2, -8) and (2, 0). What is the slope of this line?

46% Answer Correctly

	2\(\frac{1}{2}\)
	-1
	\(\frac{1}{2}\)
	2

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -8) and (2, 0) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (-8.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)
m = 2

Which of the following statements about math operations is incorrect?

71% Answer Correctly

	you can subtract monomials that have the same variable and the same exponent
	you can add monomials that have the same variable and the same exponent
	you can multiply monomials that have different variables and different exponents
	all of these statements are correct

Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a² - a² = 3a² but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.

Breaking apart a quadratic expression into a pair of binomials is called:

75% Answer Correctly

	factoring
	normalizing
	deconstructing
	squaring

Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.