ASVAB Math Knowledge Practice Test 458199 Results

Your Results Global Average
Questions 5 5
Correct 0 2.76
Score 0% 55%

Review

1

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

75% Answer Correctly

deconstructing

normalizing

factoring

squaring


Solution

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


2

If the length of AB equals the length of BD, point B __________ this line segment.

46% Answer Correctly

bisects

trisects

intersects

midpoints


Solution

A line segment is a portion of a line with a measurable length. The midpoint of a line segment is the point exactly halfway between the endpoints. The midpoint bisects (cuts in half) the line segment.


3

Find the value of a:
6a + y = 3
-6a + 5y = -1

42% Answer Correctly
-1\(\frac{1}{5}\)
\(\frac{3}{10}\)
\(\frac{4}{9}\)
\(\frac{10}{21}\)

Solution

You need to find the value of a so solve the first equation in terms of y:

6a + y = 3
y = 3 - 6a

then substitute the result (3 - 6a) into the second equation:

-6a + 5(3 - 6a) = -1
-6a + (5 x 3) + (5 x -6a) = -1
-6a + 15 - 30a = -1
-6a - 30a = -1 - 15
-36a = -16
a = \( \frac{-16}{-36} \)
a = \(\frac{4}{9}\)


4

Which of the following is not required to define the slope-intercept equation for a line?

42% Answer Correctly

slope

y-intercept

x-intercept

\({\Delta y \over \Delta x}\)


Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.


5

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

parallel

equal length

right angle

equal angle


Solution

A trapezoid is a quadrilateral with one set of parallel sides.