ASVAB Math Knowledge Practice Test 274775 Results

Your Results Global Average
Questions 5 5
Correct 0 3.48
Score 0% 70%

Review

1

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

54% Answer Correctly

π r2h2

4π r2

π r2h

2(π r2) + 2π rh


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.


2

What is 9a - 3a?

80% Answer Correctly
6a
12a2
6
27a2

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.

9a - 3a = 6a


3

Solve for x:
x2 - x - 56 = 0

58% Answer Correctly
-8 or -8
9 or 6
-7 or 8
9 or -9

Solution

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

x2 - x - 56 = 0
(x + 7)(x - 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (x + 7) or (x - 8) must equal zero:

If (x + 7) = 0, x must equal -7
If (x - 8) = 0, x must equal 8

So the solution is that x = -7 or 8


4

A coordinate grid is composed of which of the following?

91% Answer Correctly

x-axis

all of these

origin

y-axis


Solution

The coordinate grid is composed of a horizontal x-axis and a vertical y-axis. The center of the grid, where the x-axis and y-axis meet, is called the origin.


5

If side a = 4, side b = 9, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{52} \)
\( \sqrt{13} \)
\( \sqrt{10} \)
\( \sqrt{97} \)

Solution

According to the Pythagorean theorem, the hypotenuse squared is equal to the sum of the two perpendicular sides squared:

c2 = a2 + b2
c2 = 42 + 92
c2 = 16 + 81
c2 = 97
c = \( \sqrt{97} \)