ASVAB Math Knowledge Practice Test 689690 Results

Your Results Global Average
Questions 5 5
Correct 0 3.43
Score 0% 69%

Review

1

If a = c = 3, b = d = 5, what is the area of this rectangle?

80% Answer Correctly
28
63
18
15

Solution

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

a = l x w
a = a x b
a = 3 x 5
a = 15


2

The dimensions of this cube are height (h) = 8, length (l) = 6, and width (w) = 6. What is the surface area?

51% Answer Correctly
162
92
46
264

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 6 x 6) + (2 x 6 x 8) + (2 x 6 x 8)
sa = (72) + (96) + (96)
sa = 264


3

This diagram represents two parallel lines with a transversal. If a° = 22, what is the value of z°?

73% Answer Correctly
158
151
39
22

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 a° = 22, the value of z° is 22.


4

Simplify (3a)(4ab) - (4a2)(6b).

63% Answer Correctly
12ab2
70ab2
36ab2
-12a2b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(3a)(4ab) - (4a2)(6b)
(3 x 4)(a x a x b) - (4 x 6)(a2 x b)
(12)(a1+1 x b) - (24)(a2b)
12a2b - 24a2b
-12a2b


5

Breaking apart a quadratic expression into a pair of binomials is called:

75% Answer Correctly

deconstructing

factoring

squaring

normalizing


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.