ASVAB Math Knowledge Practice Test 587264 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.32
Score	0%	66%

Review

Solve for x:
x² + 9x + 14 = 0

58% Answer Correctly

	3 or -5
	7 or 6
	-2 or -7
	7 or -1

Solution

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

x² + 9x + 14 = 0
(x + 2)(x + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 2) or (x + 7) must equal zero:

If (x + 2) = 0, x must equal -2
If (x + 7) = 0, x must equal -7

So the solution is that x = -2 or -7

The dimensions of this cylinder are height (h) = 2 and radius (r) = 3. What is the volume?

62% Answer Correctly

	225π
	200π
	441π
	18π

Solution

The volume of a cylinder is πr²h:

v = πr²h
v = π(3² x 2)
v = 18π

If AD = 26 and BD = 23, AB = ?

76% Answer Correctly

	8
	6
	7
	3

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 = 26 - 23
AB = 3

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

47% Answer Correctly

	c - a
	a² - c²
	c² - a²
	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 a = 7, b = 7, c = 1, and d = 7, what is the perimeter of this quadrilateral?

88% Answer Correctly

	11
	23
	20
	22

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 7 + 7 + 1 + 7
p = 22