ASVAB Math Knowledge Practice Test 617642 Results

Your Results Global Average
Questions 5 5
Correct 0 3.39
Score 0% 68%

Review

1

If a = c = 2, b = d = 3, what is the area of this rectangle?

80% Answer Correctly
16
6
63
8

Solution

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

a = l x w
a = a x b
a = 2 x 3
a = 6


2

Factor y2 + 2y - 35

54% Answer Correctly
(y - 5)(y - 7)
(y + 5)(y - 7)
(y + 5)(y + 7)
(y - 5)(y + 7)

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 -35 as well and sum (Inside, Outside) to equal 2. For this problem, those two numbers are -5 and 7. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 2y - 35
y2 + (-5 + 7)y + (-5 x 7)
(y - 5)(y + 7)


3

What is the area of a circle with a diameter of 6?

69% Answer Correctly
36π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{6}{2} \)
r = 3
a = πr2
a = π(32)
a = 9π


4

The formula for the area of a circle is which of the following?

77% Answer Correctly

a = π r2

a = π d2

a = π d

a = π r


Solution

The circumference of a circle is the distance around its perimeter and equals π (approx. 3.14159) x diameter: c = π d. The area of a circle is π x (radius)2 : a = π r2.


5

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

supplementary, vertical

acute, obtuse

vertical, supplementary

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).