ASVAB Math Knowledge Practice Test 236774 Results

Your Results Global Average
Questions 5 5
Correct 0 2.87
Score 0% 57%

Review

1

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

46% Answer Correctly

midpoints

bisects

intersects

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

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

all acute angles equal each other

all of the angles formed by a transversal are called interior 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°).


3

Which of the following expressions contains exactly two terms?

83% Answer Correctly

polynomial

monomial

binomial

quadratic


Solution

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


4

Solve for b:
9b + 5 > 1 + 3b

55% Answer Correctly
b > -\(\frac{3}{5}\)
b > 2
b > -4
b > -\(\frac{2}{3}\)

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

9b + 5 > 1 + 3b
9b > 1 + 3b - 5
9b - 3b > 1 - 5
6b > -4
b > \( \frac{-4}{6} \)
b > -\(\frac{2}{3}\)


5

If side a = 1, side b = 6, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{61} \)
\( \sqrt{37} \)
\( \sqrt{17} \)
\( \sqrt{34} \)

Solution

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

c2 = a2 + b2
c2 = 12 + 62
c2 = 1 + 36
c2 = 37
c = \( \sqrt{37} \)