ASVAB Math Knowledge Practice Test 397957 Results

Your Results Global Average
Questions 5 5
Correct 0 3.09
Score 0% 62%

Review

1

On this circle, a line segment connecting point A to point D is called:

46% Answer Correctly

circumference

radius

chord

diameter


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).


2

Solve for x:
x2 - 3x - 36 = -5x - 1

48% Answer Correctly
-1 or -4
5 or -7
2 or -2
-4 or -4

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 - 3x - 36 = -5x - 1
x2 - 3x - 36 + 1 = -5x
x2 - 3x + 5x - 35 = 0
x2 + 2x - 35 = 0

Next, factor the quadratic equation:

x2 + 2x - 35 = 0
(x - 5)(x + 7) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x - 5) or (x + 7) must equal zero:

If (x - 5) = 0, x must equal 5
If (x + 7) = 0, x must equal -7

So the solution is that x = 5 or -7


3

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

74% Answer Correctly

squaring

factoring

deconstructing

normalizing


Solution

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


4

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

67% Answer Correctly

h x l x w

h2 x l2 x w2

lw x wh + lh

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.


5

What is 6a4 - 3a4?

73% Answer Correctly
3a4
3a8
9
a48

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.

6a4 - 3a4 = 3a4