ASVAB Math Knowledge Practice Test 352462 Results

Your Results Global Average
Questions 5 5
Correct 0 3.17
Score 0% 63%

Review

1

Which of the following expressions contains exactly two terms?

81% Answer Correctly

monomial

quadratic

binomial

polynomial


Solution

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


2

If side a = 7, side b = 5, what is the length of the hypotenuse of this right triangle?

63% Answer Correctly
\( \sqrt{74} \)
\( \sqrt{85} \)
\( \sqrt{65} \)
\( \sqrt{53} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 72 + 52
c2 = 49 + 25
c2 = 74
c = \( \sqrt{74} \)


3

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

angles in the same position on different parallel lines are called corresponding angles

same-side interior angles are complementary and equal each other

all of the angles formed by a transversal are called interior angles

all acute angles equal each other


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other. Same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°).


4

Simplify (8a)(2ab) - (8a2)(4b).

59% Answer Correctly
120ab2
48ab2
120a2b
-16a2b

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.

(8a)(2ab) - (8a2)(4b)
(8 x 2)(a x a x b) - (8 x 4)(a2 x b)
(16)(a1+1 x b) - (32)(a2b)
16a2b - 32a2b
-16a2b


5

If AD = 30 and BD = 24, AB = ?

75% Answer Correctly
6
16
7
10

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 = 30 - 24
AB = 6