ASVAB Math Knowledge Practice Test 997769 Results

Your Results Global Average
Questions 5 5
Correct 0 3.05
Score 0% 61%

Review

1

The dimensions of this cube are height (h) = 7, length (l) = 4, and width (w) = 5. What is the surface area?

51% Answer Correctly
62
132
166
38

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 4 x 5) + (2 x 5 x 7) + (2 x 4 x 7)
sa = (40) + (70) + (56)
sa = 166


2

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

68% Answer Correctly

h2 x l2 x w2

lw x wh + lh

h x l x w

2lw x 2wh + 2lh


Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.


3

If angle a = 60° and angle b = 28° what is the length of angle c?

71% Answer Correctly
91°
92°
103°
67°

Solution

The sum of the interior angles of a triangle is 180°:
180° = a° + b° + c°
c° = 180° - a° - b°
c° = 180° - 60° - 28° = 92°


4

Solve for x:
x2 + 4x + 10 = -4x - 5

49% Answer Correctly
5 or -2
-1 or -4
7 or -2
-3 or -5

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

x2 + 4x + 10 = -4x - 5
x2 + 4x + 10 + 5 = -4x
x2 + 4x + 4x + 15 = 0
x2 + 8x + 15 = 0

Next, factor the quadratic equation:

x2 + 8x + 15 = 0
(x + 3)(x + 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 3) or (x + 5) must equal zero:

If (x + 3) = 0, x must equal -3
If (x + 5) = 0, x must equal -5

So the solution is that x = -3 or -5


5

Simplify (2a)(3ab) + (7a2)(9b).

66% Answer Correctly
57ab2
-57a2b
69a2b
-57ab2

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.

(2a)(3ab) + (7a2)(9b)
(2 x 3)(a x a x b) + (7 x 9)(a2 x b)
(6)(a1+1 x b) + (63)(a2b)
6a2b + 63a2b
69a2b