ASVAB Math Knowledge Practice Test 508634 Results

Your Results Global Average
Questions 5 5
Correct 0 3.14
Score 0% 63%

Review

1

Solve for a:
-2a + 8 < \( \frac{a}{-6} \)

44% Answer Correctly
a < -4\(\frac{4}{9}\)
a < \(\frac{12}{19}\)
a < -\(\frac{2}{3}\)
a < 4\(\frac{4}{11}\)

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 < sign and the answer on the other.

-2a + 8 < \( \frac{a}{-6} \)
-6 x (-2a + 8) < a
(-6 x -2a) + (-6 x 8) < a
12a - 48 < a
12a - 48 - a < 0
12a - a < 48
11a < 48
a < \( \frac{48}{11} \)
a < 4\(\frac{4}{11}\)


2

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

75% Answer Correctly

normalizing

factoring

squaring

deconstructing


Solution

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


3

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

lw x wh + lh

2lw x 2wh + 2lh

h2 x l2 x w2

h x l x w


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.


4

What is 5a - 6a?

80% Answer Correctly
11
30a2
-1a
-a2

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

5a - 6a = -1a


5

On this circle, line segment CD is the:

46% Answer Correctly

circumference

diameter

chord

radius


Solution

A circle is a figure in which each point around its perimeter is an equal distance from the center. The radius of a circle is the distance between the center and any point along its perimeter. A chord is a line segment that connects any two points along its perimeter. The diameter of a circle is the length of a chord that passes through the center of the circle and equals twice the circle's radius (2r).