ASVAB Math Knowledge Practice Test 987120 Results

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

Review

1

What is 8a + 6a?

81% Answer Correctly
a2
14
14a
14a2

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 + 6a = 14a


2

This diagram represents two parallel lines with a transversal. If d° = 168, what is the value of c°?

73% Answer Correctly
23
20
12
21

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 d° = 168, the value of c° is 12.


3

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

70% Answer Correctly

parallel

right angle

equal length

equal angle


Solution

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


4

Solve for a:
-3a + 6 = -5 - 7a

59% Answer Correctly
\(\frac{3}{4}\)
2
-2\(\frac{3}{4}\)
\(\frac{1}{3}\)

Solution

To solve this equation, 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.

-3a + 6 = -5 - 7a
-3a = -5 - 7a - 6
-3a + 7a = -5 - 6
4a = -11
a = \( \frac{-11}{4} \)
a = -2\(\frac{3}{4}\)


5

If a = 5, b = 3, c = 8, and d = 9, what is the perimeter of this quadrilateral?

88% Answer Correctly
25
7
23
15

Solution

Perimeter is equal to the sum of the four sides:

p = a + b + c + d
p = 5 + 3 + 8 + 9
p = 25