ASVAB Math Knowledge Practice Test 824089 Results

Your Results Global Average
Questions 5 5
Correct 0 3.44
Score 0% 69%

Review

1

Breaking apart a quadratic expression into a pair of binomials is called:

75% Answer Correctly

deconstructing

squaring

normalizing

factoring


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.


2

Factor y2 + 7y + 12

54% Answer Correctly
(y - 3)(y + 4)
(y + 3)(y + 4)
(y - 3)(y - 4)
(y + 3)(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 12 as well and sum (Inside, Outside) to equal 7. For this problem, those two numbers are 3 and 4. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 7y + 12
y2 + (3 + 4)y + (3 x 4)
(y + 3)(y + 4)


3

Which of the following expressions contains exactly two terms?

84% Answer Correctly

quadratic

binomial

polynomial

monomial


Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.


4

The dimensions of this cube are height (h) = 8, length (l) = 4, and width (w) = 4. What is the volume?

83% Answer Correctly
360
72
18
128

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 8 x 4 x 4
v = 128


5

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

46% Answer Correctly

intersects

trisects

midpoints

bisects


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.