ASVAB Math Knowledge Practice Test 638172 Results

Your Results Global Average
Questions 5 5
Correct 0 3.04
Score 0% 61%

Review

1

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

76% Answer Correctly

equation

formula

problem

expression


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.


2

The dimensions of this trapezoid are a = 4, b = 7, c = 7, d = 2, and h = 3. What is the area?

51% Answer Correctly
10
13\(\frac{1}{2}\)
19\(\frac{1}{2}\)
18

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(7 + 2)(3)
a = ½(9)(3)
a = ½(27) = \( \frac{27}{2} \)
a = 13\(\frac{1}{2}\)


3

Factor y2 + 14y + 48

54% Answer Correctly
(y + 6)(y - 8)
(y - 6)(y - 8)
(y - 6)(y + 8)
(y + 6)(y + 8)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 48 as well and sum (Inside, Outside) to equal 14. For this problem, those two numbers are 6 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 14y + 48
y2 + (6 + 8)y + (6 x 8)
(y + 6)(y + 8)


4

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

46% Answer Correctly

chord

circumference

diameter

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).


5

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

74% Answer Correctly

deconstructing

normalizing

factoring

squaring


Solution

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