ASVAB Math Knowledge Practice Test 919878 Results

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

Review

1

On this circle, line segment AB is the:

70% Answer Correctly

diameter

radius

chord

circumference


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:
5x - 1 > 1 + 3x

55% Answer Correctly
x > -\(\frac{6}{7}\)
x > 1
x > -1\(\frac{1}{2}\)
x > 1\(\frac{2}{5}\)

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.

5x - 1 > 1 + 3x
5x > 1 + 3x + 1
5x - 3x > 1 + 1
2x > 2
x > \( \frac{2}{2} \)
x > 1


3

A cylinder with a radius (r) and a height (h) has a surface area of:

53% Answer Correctly

4π r2

2(π r2) + 2π rh

π r2h

π r2h2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


4

A right angle measures:

90% Answer Correctly

90°

360°

45°

180°


Solution

A right angle measures 90 degrees and is the intersection of two perpendicular lines. In diagrams, a right angle is indicated by a small box completing a square with the perpendicular lines.


5

The endpoints of this line segment are at (-2, 0) and (2, -6). What is the slope-intercept equation for this line?

41% Answer Correctly
y = -2\(\frac{1}{2}\)x + 4
y = -1\(\frac{1}{2}\)x - 3
y = -3x + 3
y = \(\frac{1}{2}\)x - 2

Solution

The slope-intercept equation for a line is y = mx + b where m is the slope and b is the y-intercept of the line. From the graph, you can see that the y-intercept (the y-value from the point where the line crosses the y-axis) is -3. 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, 0) and (2, -6) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (0.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)
m = -1\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

y = -1\(\frac{1}{2}\)x - 3