ASVAB Math Knowledge Practice Test 240735 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.45
Score	0%	69%

Review

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

47% Answer Correctly

	a² - c²
	c² - a²
	c - a
	c² + a²

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, \(c = \sqrt{a + b}\)

If AD = 24 and BD = 23, AB = ?

76% Answer Correctly

	5
	1
	17
	19

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 = 24 - 23
AB = 1

The dimensions of this cube are height (h) = 2, length (l) = 1, and width (w) = 8. What is the volume?

83% Answer Correctly

	14
	98
	35
	16

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 2 x 1 x 8
v = 16

What is 7a⁵ - 4a⁵?

74% Answer Correctly

	11a¹⁰
	3a⁵
	11
	3a¹⁰

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

7a⁵ - 4a⁵ = 3a⁵

If side a = 2, side b = 8, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly

	\( \sqrt{73} \)
	\( \sqrt{68} \)
	\( \sqrt{113} \)
	\( \sqrt{85} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 2² + 8²
c² = 4 + 64
c² = 68
c = \( \sqrt{68} \)