ASVAB Math Knowledge Practice Test 865762 Results

	Your Results	Global Average
Questions	5	5
Correct	0	2.92
Score	0%	58%

Review

Which of the following statements about a parallelogram is not true?

50% Answer Correctly

	the area of a parallelogram is base x height
	the perimeter of a parallelogram is the sum of the lengths of all sides
	opposite sides and adjacent angles are equal
	a parallelogram is a quadrilateral

Solution

A parallelogram is a quadrilateral with two sets of parallel sides. Opposite sides (a = c, b = d) and angles (red = red, blue = blue) are equal. The area of a parallelogram is base x height and the perimeter is the sum of the lengths of all sides (a + b + c + d).

Which of the following statements about math operations is incorrect?

71% Answer Correctly

	you can subtract monomials that have the same variable and the same exponent
	all of these statements are correct
	you can multiply monomials that have different variables and different exponents
	you can add monomials that have the same variable and the same exponent

Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a² - a² = 3a² but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.

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 = x + 4
	y = 1\(\frac{1}{2}\)x - 4
	y = 3x + 4
	y = \(\frac{1}{2}\)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 4. 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 = \( \frac{\Delta y}{\Delta x} \) = \( \frac{(6.0) - (2.0)}{(2) - (-2)} \) = \( \frac{4}{4} \)
m = 1

Plugging these values into the slope-intercept equation:

y = x + 4

If a = c = 8, b = d = 4, what is the area of this rectangle?

80% Answer Correctly

	6
	8
	32
	24

Solution

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

a = l x w
a = a x b
a = 8 x 4
a = 32

The dimensions of this cylinder are height (h) = 3 and radius (r) = 8. What is the surface area?

48% Answer Correctly

	18π
	192π
	176π
	90π

Solution

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

sa = 2πr² + 2πrh
sa = 2π(8²) + 2π(8 x 3)
sa = 2π(64) + 2π(24)
sa = (2 x 64)π + (2 x 24)π
sa = 128π + 48π
sa = 176π