ASVAB Math Knowledge Practice Test 555831 Results

Your Results Global Average
Questions 5 5
Correct 0 2.71
Score 0% 54%

Review

1

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

47% Answer Correctly

c2 + a2

c - a

c2 - a2

a2 - c2

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

2

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

equilateral and right

equilateral and isosceles

isosceles and right

equilateral, isosceles and right
Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.

3

If the length of AB equals the length of BD, point B __________ this line segment.

45% Answer Correctly

bisects

intersects

trisects

midpoints
Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.

4

Which of the following statements about math operations is incorrect?

70% Answer Correctly

you can multiply monomials that have different variables and different exponents

you can add monomials that have the same variable and the same exponent

all of these statements are correct

you can subtract monomials that have the same variable and the same exponent
Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.

5

Factor y2 - 9y + 20

54% Answer Correctly
(y - 5)(y + 4)
(y + 5)(y + 4)
(y + 5)(y - 4)
(y - 5)(y - 4)
Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 20 as well and sum (Inside, Outside) to equal -9. For this problem, those two numbers are -5 and -4. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 9y + 20
y2 + (-5 - 4)y + (-5 x -4)
(y - 5)(y - 4)