ASVAB Math Knowledge Practice Test 74457 Results

Your Results Global Average
Questions 5 5
Correct 0 3.36
Score 0% 67%

Review

1

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

53% Answer Correctly

2(π r2) + 2π rh

π r2h

π r2h2

4π r2


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

Solve for z:
z2 + 5z - 39 = 2z + 1

48% Answer Correctly
-6 or -6
-4 or -6
5 or -8
-1 or -5

Solution

The first step to solve a quadratic expression that's not set to zero is to solve the equation so that it is set to zero:

z2 + 5z - 39 = 2z + 1
z2 + 5z - 39 - 1 = 2z
z2 + 5z - 2z - 40 = 0
z2 + 3z - 40 = 0

Next, factor the quadratic equation:

z2 + 3z - 40 = 0
(z - 5)(z + 8) = 0

For this expression to be true, the left side of the expression must equal zero. Therefore, either (z - 5) or (z + 8) must equal zero:

If (z - 5) = 0, z must equal 5
If (z + 8) = 0, z must equal -8

So the solution is that z = 5 or -8


3

A coordinate grid is composed of which of the following?

88% Answer Correctly

origin

x-axis

all of these

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.


4

What is the area of a circle with a radius of 2?

69% Answer Correctly
16π
36π

Solution

The formula for area is πr2:

a = πr2
a = π(22)
a = 4π


5

Breaking apart a quadratic expression into a pair of binomials is called:

74% Answer Correctly

squaring

deconstructing

normalizing

factoring


Solution

To factor a quadratic expression, apply the FOIL (First, Outside, Inside, Last) method in reverse.