ASVAB Math Knowledge Practice Test 651 Results

Your Results Global Average
Questions 5 5
Correct 0 3.90
Score 0% 78%

Review

1

Which of the following expressions contains exactly two terms?

82% 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.

2

If BD = 18 and AD = 27, AB = ?

76% Answer Correctly
9
1
13
19
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 = 27 - 18
AB = 9

3

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

74% Answer Correctly

squaring

normalizing

deconstructing

factoring
Solution

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

4

A coordinate grid is composed of which of the following?

88% Answer Correctly

origin

all of these

y-axis

x-axis
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.

5

If the area of this square is 81, what is the length of one of the diagonals?

68% Answer Correctly
9\( \sqrt{2} \)
\( \sqrt{2} \)
4\( \sqrt{2} \)
8\( \sqrt{2} \)
Solution

To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:

a = s2

so the length of one side of the square is:

s = \( \sqrt{a} \) = \( \sqrt{81} \) = 9

The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:

c2 = a2 + b2
c2 = 92 + 92
c2 = 162
c = \( \sqrt{162} \) = \( \sqrt{81 x 2} \) = \( \sqrt{81} \) \( \sqrt{2} \)
c = 9\( \sqrt{2} \)