ASVAB Math Knowledge Practice Test 450567 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.65
Score	0%	73%

Review

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

84% Answer Correctly

	Odd
	Last
	Inside
	First

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.

If a = c = 3, b = d = 5, what is the area of this rectangle?

80% Answer Correctly

	30
	32
	15
	42

Solution

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

a = l x w
a = a x b
a = 3 x 5
a = 15

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

61% Answer Correctly

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

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).

Factor y² - 17y + 72

54% Answer Correctly

	(y - 9)(y - 8)
	(y + 9)(y - 8)
	(y - 9)(y + 8)
	(y + 9)(y + 8)

Solution

To factor a quadratic expression, apply the FOIL method (First, Outside, Inside, Last) in reverse. First, find the two Last terms that will multiply to produce 72 as well and sum (Inside, Outside) to equal -17. For this problem, those two numbers are -9 and -8. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² - 17y + 72
y² + (-9 - 8)y + (-9 x -8)
(y - 9)(y - 8)

If side x = 13cm, side y = 7cm, and side z = 12cm what is the perimeter of this triangle?

85% Answer Correctly

	25cm
	32cm
	24cm
	39cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 13cm + 7cm + 12cm = 32cm