ASVAB Math Knowledge Practice Test 327165 Results

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

Review

If AD = 29 and BD = 21, AB = ?

76% Answer Correctly

	17
	19
	7
	8

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 = 29 - 21
AB = 8

Simplify (y + 7)(y - 9)

63% Answer Correctly

	y² + 2y - 63
	y² - 16y + 63
	y² - 2y - 63
	y² + 16y + 63

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 + 7)(y - 9)
(y x y) + (y x -9) + (7 x y) + (7 x -9)
y² - 9y + 7y - 63
y² - 2y - 63

Find the value of b:
6b + y = 9
-5b - 5y = 2

42% Answer Correctly

	1\(\frac{22}{25}\)
	4\(\frac{2}{17}\)
	-2\(\frac{4}{11}\)
	\(\frac{1}{31}\)

Solution

You need to find the value of b so solve the first equation in terms of y:

6b + y = 9
y = 9 - 6b

then substitute the result (9 - 6b) into the second equation:

-5b - 5(9 - 6b) = 2
-5b + (-5 x 9) + (-5 x -6b) = 2
-5b - 45 + 30b = 2
-5b + 30b = 2 + 45
25b = 47
b = \( \frac{47}{25} \)
b = 1\(\frac{22}{25}\)

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

60% Answer Correctly

	vertical, supplementary
	supplementary, vertical
	acute, obtuse
	obtuse, acute

Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).

If side a = 1, side b = 7, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly

	\( \sqrt{97} \)
	\( \sqrt{106} \)
	\( \sqrt{10} \)
	\( \sqrt{50} \)

Solution

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

c² = a² + b²
c² = 1² + 7²
c² = 1 + 49
c² = 50
c = \( \sqrt{50} \)