ASVAB Math Knowledge Practice Test 228931 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.19
Score	0%	64%

Review

If side a = 3, side b = 7, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly

	\( \sqrt{41} \)
	\( \sqrt{58} \)
	\( \sqrt{10} \)
	\( \sqrt{65} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c² = a² + b²
c² = 3² + 7²
c² = 9 + 49
c² = 58
c = \( \sqrt{58} \)

If c = -6 and x = -9, what is the value of -8c(c - x)?

69% Answer Correctly

	-5
	864
	84
	144

Solution

To solve this equation, replace the variables with the values given and then solve the now variable-free equation. (Remember order of operations, PEMDAS, Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.)

-8c(c - x)
-8(-6)(-6 + 9)
-8(-6)(3)
(48)(3)
144

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

If the base of this triangle is 4 and the height is 6, what is the area?

58% Answer Correctly

	60
	32\(\frac{1}{2}\)
	12
	35

Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 4 x 6 = \( \frac{24}{2} \) = 12

If a = 4, b = 7, c = 3, and d = 7, what is the perimeter of this quadrilateral?

88% Answer Correctly

	25
	21
	14
	29

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 4 + 7 + 3 + 7
p = 21