ASVAB Math Knowledge Practice Test 790218 Results

Your Results Global Average
Questions 5 5
Correct 0 3.20
Score 0% 64%

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

Which of the following is not required to define the slope-intercept equation for a line?

41% Answer Correctly

x-intercept

\({\Delta y \over \Delta x}\)

slope

y-intercept


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.


3

This diagram represents two parallel lines with a transversal. If d° = 165, what is the value of y°?

73% Answer Correctly
157
143
165
149

Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • 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°)

Applying these relationships starting with d° = 165, the value of y° is 165.


4

If the base of this triangle is 9 and the height is 3, what is the area?

58% Answer Correctly
15
84
13\(\frac{1}{2}\)
20

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 9 x 3 = \( \frac{27}{2} \) = 13\(\frac{1}{2}\)


5

If a = c = 9, b = d = 5, and the blue angle = 61°, what is the area of this parallelogram?

65% Answer Correctly
2
36
45
4

Solution

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

a = l x w
a = a x b
a = 9 x 5
a = 45