ASVAB Math Knowledge Practice Test 788788 Results

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

Review

The endpoints of this line segment are at (-2, -1) and (2, 3). What is the slope-intercept equation for this line?

41% Answer Correctly

	y = -2\(\frac{1}{2}\)x + 4
	y = x + 1
	y = -3x + 4
	y = 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 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, -1) and (2, 3) so the slope becomes:

m = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(3.0) - (-1.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)
m = 1

Plugging these values into the slope-intercept equation:

y = x + 1

The dimensions of this cylinder are height (h) = 7 and radius (r) = 7. What is the surface area?

48% Answer Correctly

	16π
	30π
	196π
	40π

Solution

The surface area of a cylinder is 2πr² + 2πrh:

sa = 2πr² + 2πrh
sa = 2π(7²) + 2π(7 x 7)
sa = 2π(49) + 2π(49)
sa = (2 x 49)π + (2 x 49)π
sa = 98π + 98π
sa = 196π

If side a = 6, side b = 1, what is the length of the hypotenuse of this right triangle?

63% Answer Correctly

	\( \sqrt{37} \)
	\( \sqrt{130} \)
	\( \sqrt{145} \)
	\( \sqrt{41} \)

Solution

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

c² = a² + b²
c² = 6² + 1²
c² = 36 + 1
c² = 37
c = \( \sqrt{37} \)

Simplify (y + 9)(y + 8)

62% Answer Correctly

	y² + 17y + 72
	y² - 17y + 72
	y² + y - 72
	y² - y - 72

Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses:

(y + 9)(y + 8)
(y x y) + (y x 8) + (9 x y) + (9 x 8)
y² + 8y + 9y + 72
y² + 17y + 72

The dimensions of this cube are height (h) = 8, length (l) = 6, and width (w) = 3. What is the volume?

82% Answer Correctly

	280
	81
	144
	252

Solution

The volume of a cube is height x length x width:

v = h x l x w
v = 8 x 6 x 3
v = 144