ASVAB Math Knowledge Practice Test 681808 Results

Your Results Global Average
Questions 5 5
Correct 0 3.22
Score 0% 64%

Review

1

If a = 6, b = 4, c = 9, and d = 6, what is the perimeter of this quadrilateral?

88% Answer Correctly
25
21
22
24

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 6 + 4 + 9 + 6
p = 25


2

Solve for y:
y2 + 8y + 15 = 0

58% Answer Correctly
1 or -4
-3 or -5
7 or 4
9 or -1

Solution

The first step to solve a quadratic equation that's set to zero is to factor the quadratic equation:

y2 + 8y + 15 = 0
(y + 3)(y + 5) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (y + 3) or (y + 5) must equal zero:

If (y + 3) = 0, y must equal -3
If (y + 5) = 0, y must equal -5

So the solution is that y = -3 or -5


3

The dimensions of this cube are height (h) = 6, length (l) = 3, and width (w) = 7. What is the surface area?

51% Answer Correctly
94
162
168
214

Solution

The surface area of a cube is (2 x length x width) + (2 x width x height) + (2 x length x height):

sa = 2lw + 2wh + 2lh
sa = (2 x 3 x 7) + (2 x 7 x 6) + (2 x 3 x 6)
sa = (42) + (84) + (36)
sa = 162


4

What is 2a3 - 3a3?

73% Answer Correctly
-1a3
5
6a3
a36

Solution

To combine like terms, add or subtract the coefficients (the numbers that come before the variables) of terms that have the same variable raised to the same exponent.

2a3 - 3a3 = -1a3


5

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

53% 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.