ASVAB Math Knowledge Practice Test 630055 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.97
Score	0%	59%

Review

What is the circumference of a circle with a diameter of 1?

70% Answer Correctly

	16π
	14π
	1π
	6π

Solution

The formula for circumference is circle diameter x π:

c = πd
c = 1π

Solve 7a + 8a = 8a - 2z + 7 for a in terms of z.

34% Answer Correctly

	10z - 7
	-2\(\frac{3}{4}\)z - 1
	-\(\frac{5}{11}\)z - \(\frac{6}{11}\)
	\(\frac{2}{9}\)z + \(\frac{5}{9}\)

Solution

To solve this equation, isolate the variable for which you are solving (a) on one side of the equation and put everything else on the other side.

7a + 8z = 8a - 2z + 7
7a = 8a - 2z + 7 - 8z
7a - 8a = -2z + 7 - 8z
-a = -10z + 7
a = \( \frac{-10z + 7}{-1} \)
a = \( \frac{-10z}{-1} \) + \( \frac{7}{-1} \)
a = 10z - 7

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

41% Answer Correctly

	y = -\(\frac{1}{2}\)x + 3
	y = -2\(\frac{1}{2}\)x + 3
	y = -2x - 2
	y = 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 -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, 2) and (2, -6) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(-6.0) - (2.0)}{(2) - (-2)} \) = \( \frac{-8}{4} \)
m = -2

Plugging these values into the slope-intercept equation:

y = -2x - 2

Which of the following expressions contains exactly two terms?

81% Answer Correctly

	monomial
	binomial
	polynomial
	quadratic

Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.

The formula for volume of a cube in terms of height (h), length (l), and width (w) is which of the following?

67% Answer Correctly

	h x l x w
	lw x wh + lh
	2lw x 2wh + 2lh
	h² x l² x w²

Solution

A cube is a rectangular solid box with a height (h), length (l), and width (w). The volume is h x l x w and the surface area is 2lw x 2wh + 2lh.