ASVAB Math Knowledge Practice Test 781757 Results

Your Results Global Average
Questions 5 5
Correct 0 3.24
Score 0% 65%

Review

1

Factor y2 + 15y + 56

53% Answer Correctly
(y + 7)(y + 8)
(y - 7)(y + 8)
(y + 7)(y - 8)
(y - 7)(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 56 as well and sum (Inside, Outside) to equal 15. For this problem, those two numbers are 7 and 8. Then, plug these into a set of binomials using the square root of the First variable (y2):

y2 + 15y + 56
y2 + (7 + 8)y + (7 x 8)
(y + 7)(y + 8)


2

A cylinder with a radius (r) and a height (h) has a surface area of:

52% Answer Correctly

4π r2

2(π r2) + 2π rh

π r2h

π r2h2


Solution

A cylinder is a solid figure with straight parallel sides and a circular or oval cross section with a radius (r) and a height (h). The volume of a cylinder is π r2h and the surface area is 2(π r2) + 2π rh.


3

If a = 3, b = 3, c = 2, and d = 2, what is the perimeter of this quadrilateral?

88% Answer Correctly
23
22
18
10

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 3 + 3 + 2 + 2
p = 10


4

If a = c = 5, b = d = 6, what is the area of this rectangle?

79% Answer Correctly
36
30
27
16

Solution

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

a = l x w
a = a x b
a = 5 x 6
a = 30


5

Which types of triangles will always have at least two sides of equal length?

53% Answer Correctly

equilateral and isosceles

equilateral, isosceles and right

isosceles and right

equilateral and right


Solution

An isosceles triangle has two sides of equal length. An equilateral triangle has three sides of equal length. In a right triangle, two sides meet at a right angle.