ASVAB Math Knowledge Practice Test 917817 Results

Your Results Global Average
Questions 5 5
Correct 0 2.86
Score 0% 57%

Review

1

Find the value of b:
-9b + z = 5
-9b - 9z = 9

42% Answer Correctly
\(\frac{31}{54}\)
-\(\frac{3}{5}\)
-\(\frac{3}{10}\)
-1\(\frac{5}{6}\)

Solution

You need to find the value of b so solve the first equation in terms of z:

-9b + z = 5
z = 5 + 9b

then substitute the result (5 - -9b) into the second equation:

-9b - 9(5 + 9b) = 9
-9b + (-9 x 5) + (-9 x 9b) = 9
-9b - 45 - 81b = 9
-9b - 81b = 9 + 45
-90b = 54
b = \( \frac{54}{-90} \)
b = -\(\frac{3}{5}\)


2

If a = c = 7, b = d = 8, and the blue angle = 53°, what is the area of this parallelogram?

66% Answer Correctly
6
54
56
45

Solution

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

a = l x w
a = a x b
a = 7 x 8
a = 56


3

Which types of triangles will always have at least two sides of equal length?

54% Answer Correctly

isosceles and right

equilateral and right

equilateral, isosceles and right

equilateral and isosceles


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.


4

This diagram represents two parallel lines with a transversal. If w° = 37, what is the value of y°?

73% Answer Correctly
143
163
154
26

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 w° = 37, the value of y° is 143.


5

The dimensions of this cube are height (h) = 3, length (l) = 9, and width (w) = 3. What is the surface area?

51% Answer Correctly
230
168
152
126

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 9 x 3) + (2 x 3 x 3) + (2 x 9 x 3)
sa = (54) + (18) + (54)
sa = 126