ASVAB Math Knowledge Practice Test 114155 Results

Your Results Global Average
Questions 5 5
Correct 0 3.47
Score 0% 69%

Review

1

Which of the following statements about math operations is incorrect?

70% Answer Correctly

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

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.


2

When two lines intersect, adjacent angles are __________ (they add up to 180°) and angles across from either other are __________ (they're equal).

60% Answer Correctly

obtuse, acute

vertical, supplementary

acute, obtuse

supplementary, vertical


Solution

Angles around a line add up to 180°. Angles around a point add up to 360°. When two lines intersect, adjacent angles are supplementary (they add up to 180°) and angles across from either other are vertical (they're equal).


3

The dimensions of this cylinder are height (h) = 7 and radius (r) = 8. What is the volume?

62% Answer Correctly
245π
25π
448π
12π

Solution

The volume of a cylinder is πr2h:

v = πr2h
v = π(82 x 7)
v = 448π


4

If a = c = 6, b = d = 8, what is the area of this rectangle?

79% Answer Correctly
45
48
14
42

Solution

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

a = l x w
a = a x b
a = 6 x 8
a = 48


5

If AD = 17 and BD = 10, AB = ?

75% Answer Correctly
7
19
12
9

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 = 17 - 10
AB = 7