ASVAB Math Knowledge Practice Test 498560 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.52
Score	0%	70%

Review

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

47% Answer Correctly

	a² - c²
	c² - a²
	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, \(c = \sqrt{a + b}\)

If BD = 23 and AD = 29, AB = ?

75% Answer Correctly

	18
	9
	17
	6

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 = 29 - 23
AB = 6

A quadrilateral is a shape with __________ sides.

90% Answer Correctly

	2
	4
	5
	3

Solution

A quadrilateral is a shape with four sides. The perimeter of a quadrilateral is the sum of the lengths of its four sides.

Simplify (y - 9)(y + 5)

63% Answer Correctly

	y² - 4y - 45
	y² + 4y - 45
	y² - 14y + 45
	y² + 14y + 45

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y - 9)(y + 5)
(y x y) + (y x 5) + (-9 x y) + (-9 x 5)
y² + 5y - 9y - 45
y² - 4y - 45

The formula for the area of a circle is which of the following?

77% Answer Correctly

	a = π r
	a = π r²
	a = π d
	a = π d²

Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)² : a = π r².