ASVAB Math Knowledge Practice Test 959011 Results

Your Results Global Average
Questions 5 5
Correct 0 2.89
Score 0% 58%

Review

1

The dimensions of this trapezoid are a = 5, b = 4, c = 8, d = 2, and h = 3. What is the area?

51% Answer Correctly
22\(\frac{1}{2}\)
9
6
10\(\frac{1}{2}\)
Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(4 + 2)(3)
a = ½(6)(3)
a = ½(18) = \( \frac{18}{2} \)
a = 9

2

If a = -2 and z = 8, what is the value of -7a(a - z)?

68% Answer Correctly
-72
-14
-140
168
Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-7a(a - z)
-7(-2)(-2 - 8)
-7(-2)(-10)
(14)(-10)
-140

3

The endpoints of this line segment are at (-2, 0) and (2, 8). What is the slope of this line?

46% Answer Correctly
2
\(\frac{1}{2}\)
-3
-2\(\frac{1}{2}\)
Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, 0) and (2, 8) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(8.0) - (0.0)}{(2) - (-2)} \) = \( \frac{8}{4} \)
m = 2

4

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

73% Answer Correctly
23
15
31
32
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 a° is 15.

5

A(n) __________ is to a parallelogram as a square is to a rectangle.

51% Answer Correctly

trapezoid

triangle

rhombus

quadrilateral
Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.