ASVAB Math Knowledge Practice Test 305275 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.31
Score	0%	66%

Review

Simplify 7a x 2b.

86% Answer Correctly

	9ab
	14\( \frac{b}{a} \)
	14ab
	14\( \frac{a}{b} \)

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

7a x 2b = (7 x 2) (a x b) = 14ab

A cylinder with a radius (r) and a height (h) has a surface area of:

53% Answer Correctly

	2(π r²) + 2π rh
	4π r²
	π r²h²
	π r²h

Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r²h and the surface area is 2(π r²) + 2π rh.

If BD = 8 and AD = 14, AB = ?

76% Answer Correctly

	9
	4
	18
	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 = 14 - 8
AB = 6

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

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

	parallel
	equal length
	equal angle
	right angle

Solution

A trapezoid is a quadrilateral with one set of parallel sides.