ASVAB Math Knowledge Practice Test 548856 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.10
Score	0%	62%

Review

If AD = 18 and BD = 16, AB = ?

76% Answer Correctly

	2
	14
	8
	6

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 18 - 16
AB = 2

Simplify 5a x 4b.

86% Answer Correctly

	20\( \frac{a}{b} \)
	9ab
	20ab
	20a²b²

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

5a x 4b = (5 x 4) (a x b) = 20ab

Simplify (8a)(2ab) - (9a²)(2b).

62% Answer Correctly

	34a²b
	110a²b
	110ab²
	-2a²b

Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(8a)(2ab) - (9a²)(2b)
(8 x 2)(a x a x b) - (9 x 2)(a² x b)
(16)(a¹⁺¹ x b) - (18)(a²b)
16a²b - 18a²b
-2a²b

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

41% Answer Correctly

	y = -2x + 0
	y = x - 1
	y = 1\(\frac{1}{2}\)x - 4
	y = -1\(\frac{1}{2}\)x + 1

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 1. 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, -2) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-2.0) - (4.0)}{(2) - (-2)} \) = \( \frac{-6}{4} \)
m = -1\(\frac{1}{2}\)

Plugging these values into the slope-intercept equation:

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

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

45% Answer Correctly

	bisects
	intersects
	trisects
	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.