ASVAB Math Knowledge Practice Test 382075 Results

Your Results Global Average
Questions 5 5
Correct 0 3.22
Score 0% 64%

Review

1

The dimensions of this cube are height (h) = 6, length (l) = 2, and width (w) = 2. What is the surface area?

51% Answer Correctly
258
210
56
58

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 2 x 2) + (2 x 2 x 6) + (2 x 2 x 6)
sa = (8) + (24) + (24)
sa = 56


2

A(n) __________ is two expressions separated by an equal sign.

77% Answer Correctly

equation

expression

problem

formula


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.


3

If angle a = 22° and angle b = 23° what is the length of angle d?

56% Answer Correctly
127°
158°
157°
148°

Solution

An exterior angle of a triangle is equal to the sum of the two interior angles that are opposite:

d° = b° + c°

To find angle c, remember that the sum of the interior angles of a triangle is 180°:

180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 22° - 23° = 135°

So, d° = 23° + 135° = 158°

A shortcut to get this answer is to remember that angles around a line add up to 180°:

a° + d° = 180°
d° = 180° - a°
d° = 180° - 22° = 158°


4

This diagram represents two parallel lines with a transversal. If c° = 28, what is the value of y°?

73% Answer Correctly
32
152
157
12

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 c° = 28, the value of y° is 152.


5

Simplify (y + 6)(y + 2)

64% Answer Correctly
y2 - 8y + 12
y2 + 8y + 12
y2 + 4y - 12
y2 - 4y - 12

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 6)(y + 2)
(y x y) + (y x 2) + (6 x y) + (6 x 2)
y2 + 2y + 6y + 12
y2 + 8y + 12