ASVAB Math Knowledge Practice Test 778544 Results

Your Results Global Average
Questions 5 5
Correct 0 3.02
Score 0% 60%

Review

1

Which of the following expressions contains exactly two terms?

82% Answer Correctly

polynomial

binomial

monomial

quadratic


Solution

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


2

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

36% Answer Correctly

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

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


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

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

2lw x 2wh + 2lh

lw x wh + lh

h x l x w

h2 x l2 x w2


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


4

What is the circumference of a circle with a radius of 15?

71% Answer Correctly
32π
30π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 15)
c = 30π


5

Solve for c:
-8c - 3 > \( \frac{c}{-5} \)

44% Answer Correctly
c > \(\frac{2}{5}\)
c > -\(\frac{5}{13}\)
c > \(\frac{4}{37}\)
c > -\(\frac{2}{7}\)

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.

-8c - 3 > \( \frac{c}{-5} \)
-5 x (-8c - 3) > c
(-5 x -8c) + (-5 x -3) > c
40c + 15 > c
40c + 15 - c > 0
40c - c > -15
39c > -15
c > \( \frac{-15}{39} \)
c > -\(\frac{5}{13}\)