ASVAB Math Knowledge Practice Test 586468 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.75
Score	0%	55%

Review

The dimensions of this trapezoid are a = 4, b = 9, c = 6, d = 7, and h = 2. What is the area?

51% Answer Correctly

	8
	22\(\frac{1}{2}\)
	20
	16

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(9 + 7)(2)
a = ½(16)(2)
a = ½(32) = \( \frac{32}{2} \)
a = 16

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

41% Answer Correctly

	y = -2\(\frac{1}{2}\)x + 3
	y = \(\frac{1}{2}\)x + 3
	y = 3x + 2
	y = -2x - 3

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, 2) and (2, 4) so the slope becomes:

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

Plugging these values into the slope-intercept equation:

y = \(\frac{1}{2}\)x + 3

A(n) __________ is to a parallelogram as a square is to a rectangle.

52% Answer Correctly

	trapezoid
	quadrilateral
	rhombus
	triangle

Solution

A rhombus is a parallelogram with four equal-length sides. A square is a rectangle with four equal-length sides.

If a = c = 9, b = d = 2, and the blue angle = 57°, what is the area of this parallelogram?

66% Answer Correctly

	35
	63
	18
	9

Solution

The area of a parallelogram is equal to its length x width:

a = l x w
a = a x b
a = 9 x 2
a = 18

Simplify (7a)(5ab) + (8a²)(9b).

65% Answer Correctly

	107a²b
	-37a²b
	204a²b
	37ab²

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.

(7a)(5ab) + (8a²)(9b)
(7 x 5)(a x a x b) + (8 x 9)(a² x b)
(35)(a¹⁺¹ x b) + (72)(a²b)
35a²b + 72a²b
107a²b