ASVAB Math Knowledge Practice Test 385528 Results

Your Results Global Average
Questions 5 5
Correct 0 3.31
Score 0% 66%

Review

1

Which of the following statements about math operations is incorrect?

70% Answer Correctly

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

you can multiply monomials that have different variables and different exponents

all of these statements are correct

you can subtract 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.

2

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

74% Answer Correctly

normalizing

squaring

deconstructing

factoring
Solution

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

3

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

52% Answer Correctly

4π r2

π r2h

2(π r2) + 2π rh

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.

4

If BD = 12 and AD = 14, AB = ?

75% Answer Correctly
7
17
2
1
Solution

The entire length of this line is represented by AD which is AB + BD:

AD = AB + BD

Solving for AB:

AB = AD - BD
AB = 14 - 12
AB = 2

5

If the base of this triangle is 7 and the height is 3, what is the area?

58% Answer Correctly
18
10\(\frac{1}{2}\)
44
35
Solution

The area of a triangle is equal to ½ base x height:

a = ½bh
a = ½ x 7 x 3 = \( \frac{21}{2} \) = 10\(\frac{1}{2}\)