ASVAB Math Knowledge Practice Test 998185 Results

Your Results Global Average
Questions 5 5
Correct 0 2.64
Score 0% 53%

Review

1

The endpoints of this line segment are at (-2, -7) and (2, 5). What is the slope of this line?

46% Answer Correctly
\(\frac{1}{2}\)
3
-2
-\(\frac{1}{2}\)

Solution

The slope of this line is the change in y divided by the change in x. The endpoints of this line segment are at (-2, -7) and (2, 5) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(5.0) - (-7.0)}{(2) - (-2)} \) = \( \frac{12}{4} \)
m = 3


2

A(n) __________ is to a parallelogram as a square is to a rectangle.

52% Answer Correctly

triangle

quadrilateral

trapezoid

rhombus


Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.


3

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

46% Answer Correctly

diameter

circumference

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).


4

Solve for x:
7x - 4 < -8 - 3x

55% Answer Correctly
x < 1\(\frac{3}{4}\)
x < 3\(\frac{1}{2}\)
x < -\(\frac{2}{5}\)
x < 1\(\frac{3}{5}\)

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.

7x - 4 < -8 - 3x
7x < -8 - 3x + 4
7x + 3x < -8 + 4
10x < -4
x < \( \frac{-4}{10} \)
x < -\(\frac{2}{5}\)


5

If side a = 3, side b = 9, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{106} \)
\( \sqrt{90} \)
\( \sqrt{162} \)
\( \sqrt{53} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 32 + 92
c2 = 9 + 81
c2 = 90
c = \( \sqrt{90} \)