ASVAB Math Knowledge Practice Test 304021 Results

Your Results Global Average
Questions 5 5
Correct 0 3.81
Score 0% 76%

Review

1

If AD = 11 and BD = 7, AB = ?

75% Answer Correctly
11
16
12
4

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 = 11 - 7
AB = 4


2

If side a = 2, side b = 9, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{10} \)
\( \sqrt{85} \)
\( \sqrt{40} \)
\( \sqrt{113} \)

Solution

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

c2 = a2 + b2
c2 = 22 + 92
c2 = 4 + 81
c2 = 85
c = \( \sqrt{85} \)


3

What is 3a9 + 7a9?

75% Answer Correctly
10a18
10a9
21a18
-4a18

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.

3a9 + 7a9 = 10a9


4

To multiply binomials, use the FOIL method. Which of the following is not a part of the FOIL method?

83% Answer Correctly

First

Odd

Last

Inside


Solution

To multiply binomials, use the FOIL method. FOIL stands for First, Outside, Inside, Last and refers to the position of each term in the parentheses.


5

If side x = 13cm, side y = 11cm, and side z = 9cm what is the perimeter of this triangle?

84% Answer Correctly
33cm
38cm
28cm
36cm

Solution

The perimeter of a triangle is the sum of the lengths of its sides:

p = x + y + z
p = 13cm + 11cm + 9cm = 33cm