ASVAB Math Knowledge Practice Test 37558 Results

Your Results Global Average
Questions 5 5
Correct 0 3.55
Score 0% 71%

Review

1

What is 7a5 - 6a5?

73% Answer Correctly
a510
42a10
42a5
1a5

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.

7a5 - 6a5 = 1a5


2

A trapezoid is a quadrilateral with one set of __________ sides.

70% Answer Correctly

right angle

parallel

equal angle

equal length


Solution

A trapezoid is a quadrilateral with one set of parallel sides.


3

A(n) __________ is two expressions separated by an equal sign.

76% Answer Correctly

problem

expression

equation

formula


Solution

An equation is two expressions separated by an equal sign. The key to solving equations is to repeatedly do the same thing to both sides of the equation until the variable is isolated on one side of the equal sign and the answer on the other.


4

If side a = 6, side b = 1, what is the length of the hypotenuse of this right triangle?

63% Answer Correctly
\( \sqrt{37} \)
\( \sqrt{32} \)
\( \sqrt{128} \)
\( \sqrt{52} \)

Solution

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

c2 = a2 + b2
c2 = 62 + 12
c2 = 36 + 1
c2 = 37
c = \( \sqrt{37} \)


5

This diagram represents two parallel lines with a transversal. If y° = 159, what is the value of a°?

73% Answer Correctly
33
21
13
36

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 y° = 159, the value of a° is 21.