ASVAB Math Knowledge Practice Test 529027 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.46
Score	0%	69%

Review

If AD = 23 and BD = 17, AB = ?

76% Answer Correctly

	5
	4
	6
	13

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 = 23 - 17
AB = 6

If a = 1, b = 9, c = 1, and d = 3, what is the perimeter of this quadrilateral?

88% Answer Correctly

	27
	24
	12
	14

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 1 + 9 + 1 + 3
p = 14

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

47% Answer Correctly

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

A coordinate grid is composed of which of the following?

88% Answer Correctly

	x-axis
	origin
	y-axis
	all of these

Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.

Solve for a:
a - 4 = \( \frac{a}{7} \)

46% Answer Correctly

	-\(\frac{15}{31}\)
	\(\frac{49}{62}\)
	4\(\frac{2}{3}\)
	1\(\frac{1}{6}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.

a - 4 = \( \frac{a}{7} \)
7 x (a - 4) = a
(7 x a) + (7 x -4) = a
7a - 28 = a
7a - 28 - a = 0
7a - a = 28
6a = 28
a = \( \frac{28}{6} \)
a = 4\(\frac{2}{3}\)