ASVAB Math Knowledge Practice Test 192985 Results

Your Results Global Average
Questions 5 5
Correct 0 3.01
Score 0% 60%

Review

1

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

46% Answer Correctly

midpoints

intersects

bisects

trisects


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.


2

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

68% Answer Correctly

2lw x 2wh + 2lh

h x l x w

lw x wh + lh

h2 x l2 x w2


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


3

Factor y2 - 5y - 24

54% Answer Correctly
(y + 8)(y - 3)
(y - 8)(y + 3)
(y + 8)(y + 3)
(y - 8)(y - 3)

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 -24 as well and sum (Inside, Outside) to equal -5. For this problem, those two numbers are -8 and 3. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 - 5y - 24
y2 + (-8 + 3)y + (-8 x 3)
(y - 8)(y + 3)


4

If angle a = 66° and angle b = 41° what is the length of angle c?

71% Answer Correctly
99°
98°
123°
73°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 66° - 41° = 73°


5

Simplify (7a)(3ab) - (9a2)(4b).

63% Answer Correctly
57a2b
-15a2b
15ab2
57ab2

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)(3ab) - (9a2)(4b)
(7 x 3)(a x a x b) - (9 x 4)(a2 x b)
(21)(a1+1 x b) - (36)(a2b)
21a2b - 36a2b
-15a2b