ASVAB Math Knowledge Practice Test 934994 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.06
Score	0%	61%

Review

If BD = 23 and AD = 30, AB = ?

76% Answer Correctly

	17
	4
	7
	19

Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 30 - 23
AB = 7

Which of the following statements about math operations is incorrect?

70% Answer Correctly

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

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 of this line?

46% Answer Correctly

	3
	-\(\frac{1}{2}\)
	-1\(\frac{1}{2}\)
	-2

Solution

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

Simplify (y + 5)(y - 6)

63% Answer Correctly

	y² - 11y + 30
	y² + 11y + 30
	y² + y - 30
	y² - y - 30

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 + 5)(y - 6)
(y x y) + (y x -6) + (5 x y) + (5 x -6)
y² - 6y + 5y - 30
y² - y - 30

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

51% Answer Correctly

	quadrilateral
	trapezoid
	triangle
	rhombus

Solution

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