ASVAB Math Knowledge Practice Test 143716 Results

Your Results Global Average
Questions 5 5
Correct 0 3.42
Score 0% 68%

Review

1

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

75% Answer Correctly

normalizing

squaring

deconstructing

factoring


Solution

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


2

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

54% Answer Correctly

π r2h2

2(π r2) + 2π rh

π r2h

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.


3

Which of the following statements about math operations is incorrect?

71% Answer Correctly

all of these statements are correct

you can subtract monomials that have the same variable and the same exponent

you can multiply monomials that have different variables and different exponents

you can add monomials that have the same variable and the same exponent


Solution

You can only add or subtract monomials that have the same variable and the same exponent. For example, 2a + 4a = 6a and 4a2 - a2 = 3a2 but 2a + 4b and 7a - 3b cannot be combined. However, you can multiply and divide monomials with unlike terms. For example, 2a x 6b = 12ab.


4

The dimensions of this cylinder are height (h) = 9 and radius (r) = 5. What is the volume?

63% Answer Correctly
225π
12π
108π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(52 x 9)
v = 225π


5

If a = c = 8, b = d = 9, what is the area of this rectangle?

80% Answer Correctly
25
72
64
2

Solution

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

a = l x w
a = a x b
a = 8 x 9
a = 72