ASVAB Math Knowledge Practice Test 77272 Results

Your Results Global Average
Questions 5 5
Correct 0 3.51
Score 0% 70%

Review

1

What is 9a7 - 9a7?

74% Answer Correctly
18a14
81a14
0a7
14

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.

9a7 - 9a7 = 0a7


2

What is the circumference of a circle with a radius of 18?

71% Answer Correctly
13π
18π
36π

Solution

The formula for circumference is circle diameter x π. Circle diameter is 2 x radius:

c = πd
c = π(2 * r)
c = π(2 * 18)
c = 36π


3

Which of the following expressions contains exactly two terms?

83% Answer Correctly

binomial

quadratic

monomial

polynomial


Solution

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


4

If the area of this square is 36, what is the length of one of the diagonals?

69% Answer Correctly
6\( \sqrt{2} \)
2\( \sqrt{2} \)
7\( \sqrt{2} \)
8\( \sqrt{2} \)

Solution

To find the diagonal we need to know the length of one of the square's sides. We know the area and the area of a square is the length of one side squared:

a = s2

so the length of one side of the square is:

s = \( \sqrt{a} \) = \( \sqrt{36} \) = 6

The Pythagorean theorem defines the square of the hypotenuse (diagonal) of a triangle with a right angle as the sum of the squares of the other two sides:

c2 = a2 + b2
c2 = 62 + 62
c2 = 72
c = \( \sqrt{72} \) = \( \sqrt{36 x 2} \) = \( \sqrt{36} \) \( \sqrt{2} \)
c = 6\( \sqrt{2} \)


5

The dimensions of this trapezoid are a = 5, b = 6, c = 6, d = 4, and h = 4. What is the area?

51% Answer Correctly
20
15
7\(\frac{1}{2}\)
26

Solution

The area of a trapezoid is one-half the sum of the lengths of the parallel sides multiplied by the height:

a = ½(b + d)(h)
a = ½(6 + 4)(4)
a = ½(10)(4)
a = ½(40) = \( \frac{40}{2} \)
a = 20