ASVAB Math Knowledge Practice Test 418015 Results

Your Results Global Average
Questions 5 5
Correct 0 3.16
Score 0% 63%

Review

1

What is 6a2 - 5a2?

74% Answer Correctly
30a4
11
1a2
a24

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.

6a2 - 5a2 = 1a2


2

The endpoints of this line segment are at (-2, 4) and (2, 0). What is the slope-intercept equation for this line?

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

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 2. 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, 4) and (2, 0) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(0.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-4}{4} \)
m = -1

Plugging these values into the slope-intercept equation:

y = -x + 2


3

On this circle, line segment CD is the:

46% Answer Correctly

circumference

radius

diameter

chord


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

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

61% Answer Correctly

vertical, supplementary

supplementary, vertical

acute, obtuse

obtuse, acute


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


5

A right angle measures:

91% Answer Correctly

45°

180°

90°

360°


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.