ASVAB Math Knowledge Practice Test 979826 Results

Your Results Global Average
Questions 5 5
Correct 0 3.53
Score 0% 71%

Review

1

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

36% Answer Correctly

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

all acute angles equal each other

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

same-side interior angles are complementary and 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°).


2

If a = 2, b = 9, c = 7, and d = 7, what is the perimeter of this quadrilateral?

88% Answer Correctly
19
25
33
20

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 2 + 9 + 7 + 7
p = 25


3

If a = c = 6, b = d = 4, what is the area of this rectangle?

80% Answer Correctly
4
24
14
8

Solution

The area of a rectangle is equal to its length x width:

a = l x w
a = a x b
a = 6 x 4
a = 24


4

If side a = 9, side b = 8, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{145} \)
\( \sqrt{68} \)
\( \sqrt{74} \)
\( \sqrt{97} \)

Solution

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

c2 = a2 + b2
c2 = 92 + 82
c2 = 81 + 64
c2 = 145
c = \( \sqrt{145} \)


5

Which of the following expressions contains exactly two terms?

83% Answer Correctly

quadratic

monomial

binomial

polynomial


Solution

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