ASVAB Math Knowledge Practice Test 179319 Results

Your Results Global Average
Questions 5 5
Correct 0 3.13
Score 0% 63%

Review

1

The dimensions of this cube are height (h) = 6, length (l) = 1, and width (w) = 9. What is the volume?

82% Answer Correctly
192
48
54
30

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 6 x 1 x 9
v = 54


2

If a = c = 4, b = d = 5, what is the area of this rectangle?

80% Answer Correctly
25
5
20
15

Solution

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

a = l x w
a = a x b
a = 4 x 5
a = 20


3

Solve for x:
x2 - 3x - 54 = 0

58% Answer Correctly
-6 or 9
-4 or -6
6 or 1
3 or -2

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

x2 - 3x - 54 = 0
(x + 6)(x - 9) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 6) or (x - 9) must equal zero:

If (x + 6) = 0, x must equal -6
If (x - 9) = 0, x must equal 9

So the solution is that x = -6 or 9


4

Which of the following statements about parallel lines with a transversal is not correct?

36% Answer Correctly

angles in the same position on different parallel lines are called corresponding angles

all acute angles equal each other

all of the angles formed by a transversal are called interior angles

same-side interior angles are complementary and equal each other


Solution

Parallel lines are lines that share the same slope (steepness) and therefore never intersect. A transversal occurs when a set of parallel lines are crossed by another line. All of the angles formed by a transversal are called interior angles and angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°) and are called corresponding angles. Alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°) and 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°).


5

Solve for a:
5a - 1 = -3 + 8a

59% Answer Correctly
-2
-1\(\frac{1}{2}\)
\(\frac{2}{3}\)
-2\(\frac{2}{3}\)

Solution

To solve this equation, 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.

5a - 1 = -3 + 8a
5a = -3 + 8a + 1
5a - 8a = -3 + 1
-3a = -2
a = \( \frac{-2}{-3} \)
a = \(\frac{2}{3}\)