ASVAB Math Knowledge Practice Test 713332 Results

Your Results Global Average
Questions 5 5
Correct 0 3.84
Score 0% 77%

Review

1

What is 5a - 2a?

80% Answer Correctly
3a2
3a
7
10a

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.

5a - 2a = 3a


2

This diagram represents two parallel lines with a transversal. If z° = 36, what is the value of a°?

73% Answer Correctly
36
159
16
166

Solution

For parallel lines with a transversal, the following relationships apply:

  • angles in the same position on different parallel lines equal each other (a° = w°, b° = x°, c° = z°, d° = y°)
  • alternate interior angles are equal (a° = z°, b° = y°, c° = w°, d° = x°)
  • all acute angles (a° = c° = w° = z°) and all obtuse angles (b° = d° = x° = y°) equal each other
  • same-side interior angles are supplementary and add up to 180° (e.g. a° + d° = 180°, d° + c° = 180°)

Applying these relationships starting with z° = 36, the value of a° is 36.


3

What is 4a5 + 7a5?

75% Answer Correctly
11a5
28a5
a510
28a10

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.

4a5 + 7a5 = 11a5


4

Simplify 8a x 6b.

86% Answer Correctly
48ab
48a2b2
14ab
48\( \frac{a}{b} \)

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.

8a x 6b = (8 x 6) (a x b) = 48ab


5

What is the area of a circle with a diameter of 8?

70% Answer Correctly
16π

Solution

The formula for area is πr2. Radius is circle \( \frac{diameter}{2} \):

r = \( \frac{d}{2} \)
r = \( \frac{8}{2} \)
r = 4
a = πr2
a = π(42)
a = 16π