ASVAB Math Knowledge Practice Test 740334 Results

Your Results Global Average
Questions 5 5
Correct 0 3.71
Score 0% 74%

Review

1

If AD = 19 and BD = 15, AB = ?

76% Answer Correctly
1
15
4
2
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 = 19 - 15
AB = 4

2

If side a = 8, side b = 7, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{128} \)
\( \sqrt{68} \)
\( \sqrt{113} \)
5
Solution

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

c2 = a2 + b2
c2 = 82 + 72
c2 = 64 + 49
c2 = 113
c = \( \sqrt{113} \)

3

Simplify (7a)(2ab) + (5a2)(2b).

65% Answer Correctly
4ab2
24a2b
4a2b
-4a2b
Solution

To multiply monomials, multiply the coefficients (the numbers that come before the variables) of each term, add the exponents of like variables, and multiply the different variables together.

(7a)(2ab) + (5a2)(2b)
(7 x 2)(a x a x b) + (5 x 2)(a2 x b)
(14)(a1+1 x b) + (10)(a2b)
14a2b + 10a2b
24a2b

4

What is 8a + 8a?

81% Answer Correctly
0
2
64a2
16a
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.

8a + 8a = 16a

5

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

84% Answer Correctly

Odd

First

Inside

Last
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.