ASVAB Math Knowledge Practice Test 964112 Results

Your Results Global Average
Questions 5 5
Correct 0 3.83
Score 0% 77%

Review

1

If side a = 4, side b = 1, what is the length of the hypotenuse of this right triangle?

64% Answer Correctly
\( \sqrt{90} \)
\( \sqrt{17} \)
\( \sqrt{65} \)
\( \sqrt{50} \)
Solution

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

c2 = a2 + b2
c2 = 42 + 12
c2 = 16 + 1
c2 = 17
c = \( \sqrt{17} \)

2

What is 5a7 + 3a7?

75% Answer Correctly
2a14
8
15a7
8a7
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.

5a7 + 3a7 = 8a7

3

Which of the following expressions contains exactly two terms?

82% Answer Correctly

binomial

quadratic

polynomial

monomial
Solution

A monomial contains one term, a binomial contains two terms, and a polynomial contains more than two terms.

4

If a = 7, b = 6, c = 4, and d = 5, what is the perimeter of this quadrilateral?

88% Answer Correctly
17
22
9
23
Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 7 + 6 + 4 + 5
p = 22

5

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

74% Answer Correctly

squaring

factoring

normalizing

deconstructing
Solution

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