ASVAB Math Knowledge Practice Test 529426 Results

Your Results Global Average
Questions 5 5
Correct 0 3.24
Score 0% 65%

Review

1

What is the area of a circle with a radius of 4?

69% Answer Correctly
16π

Solution

The formula for area is πr2:

a = πr2
a = π(42)
a = 16π


2

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

74% Answer Correctly

deconstructing

normalizing

factoring

squaring


Solution

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


3

If AD = 18 and BD = 9, AB = ?

75% Answer Correctly
17
9
8
7

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 18 - 9
AB = 9


4

For this diagram, the Pythagorean theorem states that b2 = ?

47% Answer Correctly

c2 - a2

a2 - c2

c2 + a2

c - a


Solution

The Pythagorean theorem defines the relationship between the side lengths of a right triangle. The length of the hypotenuse squared (c2) is equal to the sum of the two perpendicular sides squared (a2 + b2): c2 = a2 + b2 or, solved for c, \(c = \sqrt{a + b}\)


5

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

57% Answer Correctly

sum of interior angles = 180°

exterior angle = sum of two adjacent interior angles

perimeter = sum of side lengths

area = ½bh


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.