ASVAB Math Knowledge Practice Test 548604 Results

	Your Results	Global Average
Questions	5	5
Correct	0	3.10
Score	0%	62%

Review

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

83% Answer Correctly

	Odd
	First
	Inside
	Last

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 = 6, b = d = 2, and the blue angle = 71°, what is the area of this parallelogram?

65% Answer Correctly

	8
	42
	12
	54

Solution

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

a = l x w
a = a x b
a = 6 x 2
a = 12

The dimensions of this trapezoid are a = 5, b = 6, c = 8, d = 2, and h = 4. What is the area?

51% Answer Correctly

	22
	16
	40
	19\(\frac{1}{2}\)

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(6 + 2)(4)
a = ½(8)(4)
a = ½(32) = \( \frac{32}{2} \)
a = 16

Solve for a:
-5a - 5 > -7 - 6a

55% Answer Correctly

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

Solution

To solve this equation, repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the > sign and the answer on the other.

-5a - 5 > -7 - 6a
-5a > -7 - 6a + 5
-5a + 6a > -7 + 5
a > -2

Factor y² - 3y - 10

54% Answer Correctly

	(y + 5)(y - 2)
	(y + 5)(y + 2)
	(y - 5)(y - 2)
	(y - 5)(y + 2)

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 -10 as well and sum (Inside, Outside) to equal -3. For this problem, those two numbers are -5 and 2. Then, plug these into a set of binomials using the square root of the First variable (y²):

y² - 3y - 10
y² + (-5 + 2)y + (-5 x 2)
(y - 5)(y + 2)