ASVAB Math Knowledge Practice Test 301616 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.13
Score	0%	63%

Review

Simplify (y + 3)(y + 9)

63% Answer Correctly

	y² - 12y + 27
	y² + 6y - 27
	y² - 6y - 27
	y² + 12y + 27

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 + 3)(y + 9)
(y x y) + (y x 9) + (3 x y) + (3 x 9)
y² + 9y + 3y + 27
y² + 12y + 27

If BD = 25 and AD = 26, AB = ?

75% Answer Correctly

	9
	15
	20
	1

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 = 26 - 25
AB = 1

If side a = 5, side b = 7, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly

	\( \sqrt{18} \)
	\( \sqrt{65} \)
	\( \sqrt{32} \)
	\( \sqrt{74} \)

Solution

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

c² = a² + b²
c² = 5² + 7²
c² = 25 + 49
c² = 74
c = \( \sqrt{74} \)

Which of the following is not required to define the slope-intercept equation for a line?

41% Answer Correctly

	slope
	\({\Delta y \over \Delta x}\)
	y-intercept
	x-intercept

Solution

A line on the coordinate grid can be defined by a slope-intercept equation: y = mx + b. For a given value of x, the value of y can be determined given the slope (m) and y-intercept (b) of the line. The slope of a line is change in y over change in x, \({\Delta y \over \Delta x}\), and the y-intercept is the y-coordinate where the line crosses the vertical y-axis.

Which of the following statements about math operations is incorrect?

70% Answer Correctly

	you can add monomials that have the same variable and the same exponent
	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

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.